source: trunk/WRF.COMMON/WRFV2/phys/module_mp_etanew.F @ 3547

Last change on this file since 3547 was 11, checked in by aslmd, 14 years ago

spiga@svn-planeto:ajoute le modele meso-echelle martien

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1!WRF:MODEL_MP:PHYSICS
2!
3MODULE module_mp_etanew
4!
5!-----------------------------------------------------------------------
6      REAL,PRIVATE,SAVE ::  ABFR, CBFR, CIACW, CIACR, C_N0r0,           &
7     &  CN0r0, CN0r_DMRmin, CN0r_DMRmax, CRACW, CRAUT, ESW0,            &
8     &  RFmax, RQR_DR1, RQR_DR2, RQR_DR3, RQR_DRmin,                    &
9     &  RQR_DRmax, RR_DRmin, RR_DR1, RR_DR2, RR_DR3, RR_DRmax
10!
11      INTEGER, PRIVATE,PARAMETER :: MY_T1=1, MY_T2=35
12      REAL,PRIVATE,DIMENSION(MY_T1:MY_T2),SAVE :: MY_GROWTH
13!
14      REAL, PRIVATE,PARAMETER :: DMImin=.05e-3, DMImax=1.e-3,           &
15     &      DelDMI=1.e-6,XMImin=1.e6*DMImin
16      INTEGER, PUBLIC,PARAMETER :: XMImax=1.e6*DMImax, XMIexp=.0536,    &
17     &                             MDImin=XMImin, MDImax=XMImax
18      REAL, PRIVATE,DIMENSION(MDImin:MDImax) ::                         &
19     &      ACCRI,SDENS,VSNOWI,VENTI1,VENTI2
20!
21      REAL, PRIVATE,PARAMETER :: DMRmin=.05e-3, DMRmax=.45e-3,          &
22     &      DelDMR=1.e-6,XMRmin=1.e6*DMRmin, XMRmax=1.e6*DMRmax
23      INTEGER, PRIVATE,PARAMETER :: MDRmin=XMRmin, MDRmax=XMRmax                   
24      REAL, PRIVATE,DIMENSION(MDRmin:MDRmax)::                          &
25     &      ACCRR,MASSR,RRATE,VRAIN,VENTR1,VENTR2
26!
27      INTEGER, PRIVATE,PARAMETER :: Nrime=40
28      REAL, DIMENSION(2:9,0:Nrime),PRIVATE,SAVE :: VEL_RF
29!
30      INTEGER,PARAMETER :: NX=7501
31      REAL, PARAMETER :: XMIN=180.0,XMAX=330.0
32      REAL, DIMENSION(NX),PRIVATE,SAVE :: TBPVS,TBPVS0
33      REAL, PRIVATE,SAVE :: C1XPVS0,C2XPVS0,C1XPVS,C2XPVS
34!
35      REAL, PRIVATE,PARAMETER ::                                        &
36!--- Physical constants follow:
37     &   CP=1004.6, EPSQ=1.E-12, GRAV=9.806, RHOL=1000., RD=287.04      &
38     &  ,RV=461.5, T0C=273.15, XLS=2.834E6                              &
39!--- Derived physical constants follow:
40     &  ,EPS=RD/RV, EPS1=RV/RD-1., EPSQ1=1.001*EPSQ                     &
41     &  ,RCP=1./CP, RCPRV=RCP/RV, RGRAV=1./GRAV, RRHOL=1./RHOL          &
42     &  ,XLS1=XLS*RCP, XLS2=XLS*XLS*RCPRV, XLS3=XLS*XLS/RV              &
43!--- Constants specific to the parameterization follow:
44!--- CLIMIT/CLIMIT1 are lower limits for treating accumulated precipitation
45     &  ,CLIMIT=10.*EPSQ, CLIMIT1=-CLIMIT                               &
46     &  ,C1=1./3.                                                       &
47     &  ,DMR1=.1E-3, DMR2=.2E-3, DMR3=.32E-3                            &
48     &  ,XMR1=1.e6*DMR1, XMR2=1.e6*DMR2, XMR3=1.e6*DMR3
49      INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
50!
51! ======================================================================
52!--- Important tunable parameters that are exported to other modules
53!  * RHgrd - threshold relative humidity for onset of condensation
54!  * T_ICE - temperature (C) threshold at which all remaining liquid water
55!            is glaciated to ice
56!  * T_ICE_init - maximum temperature (C) at which ice nucleation occurs
57!  * NLImax - maximum number concentrations (m**-3) of large ice (snow/graupel/sleet)
58!  * NLImin - minimum number concentrations (m**-3) of large ice (snow/graupel/sleet)
59!  * N0r0 - assumed intercept (m**-4) of rain drops if drop diameters are between 0.2 and 0.45 mm
60!  * N0rmin - minimum intercept (m**-4) for rain drops
61!  * NCW - number concentrations of cloud droplets (m**-3)
62!  * FLARGE1, FLARGE2 - number fraction of large ice to total (large+snow) ice
63!          at T>0C and in presence of sublimation (FLARGE1), otherwise in
64!          presence of ice saturated/supersaturated conditions
65! ======================================================================
66      REAL, PUBLIC,PARAMETER ::                                         &
67     &  RHgrd=1.                                                        &
68     & ,T_ICE=-30.                                                      &
69     & ,T_ICEK=T0C+T_ICE                                                &
70     & ,T_ICE_init=-5.                                                  &
71     & ,NLImax=5.E3                                                     &
72     & ,NLImin=1.E3                                                     &
73     & ,N0r0=8.E6                                                       &
74     & ,N0rmin=1.E4                                                     &
75     & ,NCW=100.E6                                                      &
76     & ,FLARGE1=1.                                                      &
77     & ,FLARGE2=.2
78!--- Other public variables passed to other routines:
79      REAL,PUBLIC,SAVE ::  QAUT0
80      REAL, PUBLIC,DIMENSION(MDImin:MDImax) :: MASSI
81!
82!
83      CONTAINS
84
85!-----------------------------------------------------------------------
86!-----------------------------------------------------------------------
87      SUBROUTINE ETAMP_NEW (itimestep,DT,DX,DY,                         &
88     &                      dz8w,rho_phy,p_phy,pi_phy,th_phy,qv,qt,     &
89     &                      LOWLYR,SR,                                  &
90     &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,           &
91     &                      QC,QR,QS,                                   &
92     &                      mp_restart_state,tbpvs_state,tbpvs0_state,  &
93     &                      RAINNC,RAINNCV,                             &
94     &                      ids,ide, jds,jde, kds,kde,                  &
95     &                      ims,ime, jms,jme, kms,kme,                  &
96     &                      its,ite, jts,jte, kts,kte )
97!-----------------------------------------------------------------------
98      IMPLICIT NONE
99!-----------------------------------------------------------------------
100      INTEGER, PARAMETER :: ITLO=-60, ITHI=40
101
102      INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                     &
103     &                     ,IMS,IME,JMS,JME,KMS,KME                     &
104     &                     ,ITS,ITE,JTS,JTE,KTS,KTE                     &
105     &                     ,ITIMESTEP
106
107      REAL, INTENT(IN)      :: DT,DX,DY
108      REAL, INTENT(IN),     DIMENSION(ims:ime, kms:kme, jms:jme)::      &
109     &                      dz8w,p_phy,pi_phy,rho_phy
110      REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme)::      &
111     &                      th_phy,qv,qt
112      REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
113     &                      qc,qr,qs
114      REAL, INTENT(INOUT),  DIMENSION(ims:ime, kms:kme, jms:jme ) ::    &
115     &                      F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
116      REAL, INTENT(INOUT),  DIMENSION(ims:ime,jms:jme)           ::     &
117     &                                                   RAINNC,RAINNCV
118      REAL, INTENT(OUT),    DIMENSION(ims:ime,jms:jme):: SR
119!
120      REAL,DIMENSION(*),INTENT(INOUT) :: MP_RESTART_STATE
121!
122      REAL,DIMENSION(nx),INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
123!
124      INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
125
126!-----------------------------------------------------------------------
127!     LOCAL VARS
128!-----------------------------------------------------------------------
129
130!     NSTATS,QMAX,QTOT are diagnostic vars
131
132      INTEGER,DIMENSION(ITLO:ITHI,4) :: NSTATS
133      REAL,   DIMENSION(ITLO:ITHI,5) :: QMAX
134      REAL,   DIMENSION(ITLO:ITHI,22):: QTOT
135
136!     SOME VARS WILL BE USED FOR DATA ASSIMILATION (DON'T NEED THEM NOW).
137!     THEY ARE TREATED AS LOCAL VARS, BUT WILL BECOME STATE VARS IN THE
138!     FUTURE. SO, WE DECLARED THEM AS MEMORY SIZES FOR THE FUTURE USE
139
140!     TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related
141!     the microphysics scheme. Instead, they will be used by Eta precip
142!     assimilation.
143
144      REAL,  DIMENSION( ims:ime, kms:kme, jms:jme ) ::                  &
145     &       TLATGS_PHY,TRAIN_PHY
146      REAL,  DIMENSION(ims:ime,jms:jme):: APREC,PREC,ACPREC
147      REAL,  DIMENSION(its:ite, kts:kte, jts:jte):: t_phy
148
149      INTEGER :: I,J,K,KFLIP
150      REAL :: WC
151!
152!-----------------------------------------------------------------------
153!**********************************************************************
154!-----------------------------------------------------------------------
155!
156      MY_GROWTH(MY_T1:MY_T2)=MP_RESTART_STATE(MY_T1:MY_T2)
157!
158      C1XPVS0=MP_RESTART_STATE(MY_T2+1)
159      C2XPVS0=MP_RESTART_STATE(MY_T2+2)
160      C1XPVS =MP_RESTART_STATE(MY_T2+3)
161      C2XPVS =MP_RESTART_STATE(MY_T2+4)
162      CIACW  =MP_RESTART_STATE(MY_T2+5)
163      CIACR  =MP_RESTART_STATE(MY_T2+6)
164      CRACW  =MP_RESTART_STATE(MY_T2+7)
165      CRAUT  =MP_RESTART_STATE(MY_T2+8)
166!
167      TBPVS(1:NX) =TBPVS_STATE(1:NX)
168      TBPVS0(1:NX)=TBPVS0_STATE(1:NX)
169!
170      DO j = jts,jte
171      DO k = kts,kte
172      DO i = its,ite
173        t_phy(i,k,j) = th_phy(i,k,j)*pi_phy(i,k,j)
174        qv(i,k,j)=qv(i,k,j)/(1.+qv(i,k,j)) !Convert to specific humidity
175      ENDDO
176      ENDDO
177      ENDDO
178
179!     initial diagnostic variables and data assimilation vars
180!     (will need to delete this part in the future)
181
182      DO k = 1,4
183      DO i = ITLO,ITHI
184         NSTATS(i,k)=0.
185      ENDDO
186      ENDDO
187
188      DO k = 1,5
189      DO i = ITLO,ITHI
190         QMAX(i,k)=0.
191      ENDDO
192      ENDDO
193
194      DO k = 1,22
195      DO i = ITLO,ITHI
196         QTOT(i,k)=0.
197      ENDDO
198      ENDDO
199
200! initial data assimilation vars (will need to delete this part in the future)
201
202      DO j = jts,jte
203      DO k = kts,kte
204      DO i = its,ite
205         TLATGS_PHY (i,k,j)=0.
206         TRAIN_PHY  (i,k,j)=0.
207      ENDDO
208      ENDDO
209      ENDDO
210
211      DO j = jts,jte
212      DO i = its,ite
213         ACPREC(i,j)=0.
214         APREC (i,j)=0.
215         PREC  (i,j)=0.
216         SR    (i,j)=0.
217      ENDDO
218      ENDDO
219
220!-----------------------------------------------------------------------
221
222      CALL EGCP01DRV(DT,LOWLYR,                                         &
223     &               APREC,PREC,ACPREC,SR,NSTATS,QMAX,QTOT,             &
224     &               dz8w,rho_phy,qt,t_phy,qv,F_ICE_PHY,P_PHY,          &
225     &               F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,       &
226     &               ids,ide, jds,jde, kds,kde,                         &
227     &               ims,ime, jms,jme, kms,kme,                         &
228     &               its,ite, jts,jte, kts,kte                    )
229!-----------------------------------------------------------------------
230
231     DO j = jts,jte
232        DO k = kts,kte
233        DO i = its,ite
234           th_phy(i,k,j) = t_phy(i,k,j)/pi_phy(i,k,j)
235           qv(i,k,j)=qv(i,k,j)/(1.-qv(i,k,j))  !Convert to mixing ratio
236           WC=qt(I,K,J)
237           QS(I,K,J)=0.
238           QR(I,K,J)=0.
239           QC(I,K,J)=0.
240           IF(F_ICE_PHY(I,K,J)>=1.)THEN
241             QS(I,K,J)=WC
242           ELSEIF(F_ICE_PHY(I,K,J)<=0.)THEN
243             QC(I,K,J)=WC
244           ELSE
245             QS(I,K,J)=F_ICE_PHY(I,K,J)*WC
246             QC(I,K,J)=WC-QS(I,K,J)
247           ENDIF
248!
249           IF(QC(I,K,J)>0..AND.F_RAIN_PHY(I,K,J)>0.)THEN
250             IF(F_RAIN_PHY(I,K,J).GE.1.)THEN
251               QR(I,K,J)=QC(I,K,J)
252               QC(I,K,J)=0.
253             ELSE
254               QR(I,K,J)=F_RAIN_PHY(I,K,J)*QC(I,K,J)
255               QC(I,K,J)=QC(I,K,J)-QR(I,K,J)
256             ENDIF
257           ENDIF
258        ENDDO
259        ENDDO
260     ENDDO
261!
262! update rain (from m to mm)
263
264       DO j=jts,jte
265       DO i=its,ite
266          RAINNC(i,j)=APREC(i,j)*1000.+RAINNC(i,j)
267          RAINNCV(i,j)=APREC(i,j)*1000.
268       ENDDO
269       ENDDO
270!
271     MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
272     MP_RESTART_STATE(MY_T2+1)=C1XPVS0
273     MP_RESTART_STATE(MY_T2+2)=C2XPVS0
274     MP_RESTART_STATE(MY_T2+3)=C1XPVS
275     MP_RESTART_STATE(MY_T2+4)=C2XPVS
276     MP_RESTART_STATE(MY_T2+5)=CIACW
277     MP_RESTART_STATE(MY_T2+6)=CIACR
278     MP_RESTART_STATE(MY_T2+7)=CRACW
279     MP_RESTART_STATE(MY_T2+8)=CRAUT
280!
281     TBPVS_STATE(1:NX) =TBPVS(1:NX)
282     TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
283
284!-----------------------------------------------------------------------
285
286  END SUBROUTINE ETAMP_NEW
287
288!-----------------------------------------------------------------------
289
290      SUBROUTINE EGCP01DRV(                                             &
291     &  DTPH,LOWLYR,APREC,PREC,ACPREC,SR,                               &
292     &  NSTATS,QMAX,QTOT,                                               &
293     &  dz8w,RHO_PHY,CWM_PHY,T_PHY,Q_PHY,F_ICE_PHY,P_PHY,               &
294     &  F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY,TRAIN_PHY,                    &
295     &  ids,ide, jds,jde, kds,kde,                                      &
296     &  ims,ime, jms,jme, kms,kme,                                      &
297     &  its,ite, jts,jte, kts,kte)
298!-----------------------------------------------------------------------
299! DTPH           Physics time step (s)
300! CWM_PHY (qt)   Mixing ratio of the total condensate. kg/kg
301! Q_PHY          Mixing ratio of water vapor. kg/kg
302! F_RAIN_PHY     Fraction of rain.
303! F_ICE_PHY      Fraction of ice.
304! F_RIMEF_PHY    Mass ratio of rimed ice (rime factor).
305!
306!TLATGS_PHY,TRAIN_PHY,APREC,PREC,ACPREC,SR are not directly related the
307!micrphysics sechme. Instead, they will be used by Eta precip assimilation.
308!
309!NSTATS,QMAX,QTOT are used for diagnosis purposes.
310!
311!-----------------------------------------------------------------------
312!--- Variables APREC,PREC,ACPREC,SR are calculated for precip assimilation
313!    and/or ZHAO's scheme in Eta and are not required by this microphysics
314!    scheme itself. 
315!--- NSTATS,QMAX,QTOT are used for diagnosis purposes only.  They will be
316!    printed out when PRINT_diag is true.
317!
318!-----------------------------------------------------------------------
319      IMPLICIT NONE
320!-----------------------------------------------------------------------
321!
322      INTEGER, PARAMETER :: ITLO=-60, ITHI=40
323      LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
324!     VARIABLES PASSED IN/OUT
325      INTEGER,INTENT(IN ) :: ids,ide, jds,jde, kds,kde                  &
326     &                      ,ims,ime, jms,jme, kms,kme                  &
327     &                      ,its,ite, jts,jte, kts,kte
328      REAL,INTENT(IN) :: DTPH
329      INTEGER, DIMENSION( ims:ime, jms:jme ),INTENT(INOUT) :: LOWLYR
330      INTEGER,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
331      REAL,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
332      REAL,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
333      REAL,DIMENSION(ims:ime,jms:jme),INTENT(INOUT) ::                  &
334     &                         APREC,PREC,ACPREC,SR
335      REAL,DIMENSION( its:ite, kts:kte, jts:jte ),INTENT(INOUT) :: t_phy
336      REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(IN) ::         &
337     &                                             dz8w,P_PHY,RHO_PHY
338      REAL,DIMENSION( ims:ime, kms:kme, jms:jme ),INTENT(INOUT) ::      &
339     &   CWM_PHY, F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,TLATGS_PHY           &
340     &   ,Q_PHY,TRAIN_PHY
341!
342!-----------------------------------------------------------------------
343!LOCAL VARIABLES
344!-----------------------------------------------------------------------
345!
346#define CACHE_FRIENDLY_MP_ETANEW
347#ifdef CACHE_FRIENDLY_MP_ETANEW
348#  define TEMP_DIMS  kts:kte,its:ite,jts:jte
349#  define TEMP_DEX   L,I,J
350#else
351#  define TEMP_DIMS  its:ite,jts:jte,kts:kte
352#  define TEMP_DEX   I,J,L
353#endif
354!
355      INTEGER :: LSFC,I,J,I_index,J_index,L,K,KFLIP
356      REAL,DIMENSION(TEMP_DIMS) :: CWM,T,Q,TRAIN,TLATGS,P
357      REAL,DIMENSION(kts:kte,its:ite,jts:jte) :: F_ice,F_rain,F_RimeF       
358      INTEGER,DIMENSION(its:ite,jts:jte) :: LMH
359      REAL :: TC,WC,QI,QR,QW,Fice,Frain,DUM,ASNOW,ARAIN
360      REAL,DIMENSION(kts:kte) :: P_col,Q_col,T_col,QV_col,WC_col,       &
361         RimeF_col,QI_col,QR_col,QW_col, THICK_col,DPCOL
362      REAL,DIMENSION(2) :: PRECtot,PRECmax
363!-----------------------------------------------------------------------
364!
365        DO J=JTS,JTE   
366        DO I=ITS,ITE 
367           LMH(I,J) = KTE-LOWLYR(I,J)+1
368        ENDDO
369        ENDDO
370
371        DO 98  J=JTS,JTE   
372        DO 98  I=ITS,ITE 
373           DO L=KTS,KTE
374             KFLIP=KTE+1-L
375             CWM(TEMP_DEX)=CWM_PHY(I,KFLIP,J)
376             T(TEMP_DEX)=T_PHY(I,KFLIP,J)
377             Q(TEMP_DEX)=Q_PHY(I,KFLIP,J)
378             P(TEMP_DEX)=P_PHY(I,KFLIP,J)
379             TLATGS(TEMP_DEX)=TLATGS_PHY(I,KFLIP,J)
380             TRAIN(TEMP_DEX)=TRAIN_PHY(I,KFLIP,J)
381             F_ice(L,I,J)=F_ice_PHY(I,KFLIP,J)
382             F_rain(L,I,J)=F_rain_PHY(I,KFLIP,J)
383             F_RimeF(L,I,J)=F_RimeF_PHY(I,KFLIP,J)
384           ENDDO
38598      CONTINUE
386     
387       DO 100 J=JTS,JTE   
388        DO 100 I=ITS,ITE 
389          LSFC=LMH(I,J)                      ! "L" of surface
390!
391          DO K=KTS,KTE
392            KFLIP=KTE+1-K
393            DPCOL(K)=RHO_PHY(I,KFLIP,J)*GRAV*dz8w(I,KFLIP,J)
394          ENDDO
395!   
396   !
397   !--- Initialize column data (1D arrays)
398   !
399        L=1
400        IF (CWM(TEMP_DEX) .LE. EPSQ) CWM(TEMP_DEX)=EPSQ
401          F_ice(1,I,J)=1.
402          F_rain(1,I,J)=0.
403          F_RimeF(1,I,J)=1.
404          DO L=1,LSFC
405      !
406      !--- Pressure (Pa) = (Psfc-Ptop)*(ETA/ETA_sfc)+Ptop
407      !
408            P_col(L)=P(TEMP_DEX)
409      !
410      !--- Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
411      !
412            THICK_col(L)=DPCOL(L)*RGRAV
413            T_col(L)=T(TEMP_DEX)
414            TC=T_col(L)-T0C
415            QV_col(L)=max(EPSQ, Q(TEMP_DEX))
416            IF (CWM(TEMP_DEX) .LE. EPSQ1) THEN
417              WC_col(L)=0.
418              IF (TC .LT. T_ICE) THEN
419                F_ice(L,I,J)=1.
420              ELSE
421                F_ice(L,I,J)=0.
422              ENDIF
423              F_rain(L,I,J)=0.
424              F_RimeF(L,I,J)=1.
425            ELSE
426              WC_col(L)=CWM(TEMP_DEX)
427            ENDIF
428      !
429      !--- Determine composition of condensate in terms of
430      !      cloud water, ice, & rain
431      !
432            WC=WC_col(L)
433            QI=0.
434            QR=0.
435            QW=0.
436            Fice=F_ice(L,I,J)
437            Frain=F_rain(L,I,J)
438            IF (Fice .GE. 1.) THEN
439              QI=WC
440            ELSE IF (Fice .LE. 0.) THEN
441              QW=WC
442            ELSE
443              QI=Fice*WC
444              QW=WC-QI
445            ENDIF
446            IF (QW.GT.0. .AND. Frain.GT.0.) THEN
447              IF (Frain .GE. 1.) THEN
448                QR=QW
449                QW=0.
450              ELSE
451                QR=Frain*QW
452                QW=QW-QR
453              ENDIF
454            ENDIF
455            RimeF_col(L)=F_RimeF(L,I,J)               ! (real)
456            QI_col(L)=QI
457            QR_col(L)=QR
458            QW_col(L)=QW
459          ENDDO
460!
461!#######################################################################
462   !
463   !--- Perform the microphysical calculations in this column
464   !
465          I_index=I
466          J_index=J
467       CALL EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index, LSFC,  &
468     & P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,         &
469     & THICK_col, WC_col,KTS,KTE,NSTATS,QMAX,QTOT )
470
471
472   !
473!#######################################################################
474!
475   !
476   !--- Update storage arrays
477   !
478          DO L=1,LSFC
479            TRAIN(TEMP_DEX)=(T_col(L)-T(TEMP_DEX))/DTPH
480            TLATGS(TEMP_DEX)=T_col(L)-T(TEMP_DEX)
481            T(TEMP_DEX)=T_col(L)
482            Q(TEMP_DEX)=QV_col(L)
483            CWM(TEMP_DEX)=WC_col(L)
484      !
485      !--- REAL*4 array storage
486      !
487            F_RimeF(L,I,J)=MAX(1., RimeF_col(L))
488            IF (QI_col(L) .LE. EPSQ) THEN
489              F_ice(L,I,J)=0.
490              IF (T_col(L) .LT. T_ICEK) F_ice(L,I,J)=1.
491            ELSE
492              F_ice(L,I,J)=MAX( 0., MIN(1., QI_col(L)/WC_col(L)) )
493            ENDIF
494            IF (QR_col(L) .LE. EPSQ) THEN
495              DUM=0
496            ELSE
497              DUM=QR_col(L)/(QR_col(L)+QW_col(L))
498            ENDIF
499            F_rain(L,I,J)=DUM
500      !
501          ENDDO
502   !
503   !--- Update accumulated precipitation statistics
504   !
505   !--- Surface precipitation statistics; SR is fraction of surface
506   !    precipitation (if >0) associated with snow
507   !
508        APREC(I,J)=(ARAIN+ASNOW)*RRHOL       ! Accumulated surface precip (depth in m)  !<--- Ying
509        PREC(I,J)=PREC(I,J)+APREC(I,J)
510        ACPREC(I,J)=ACPREC(I,J)+APREC(I,J)
511        IF(APREC(I,J) .LT. 1.E-8) THEN
512          SR(I,J)=0.
513        ELSE
514          SR(I,J)=RRHOL*ASNOW/APREC(I,J)
515        ENDIF
516   !
517   !--- Debug statistics
518   !
519        IF (PRINT_diag) THEN
520          PRECtot(1)=PRECtot(1)+ARAIN
521          PRECtot(2)=PRECtot(2)+ASNOW
522          PRECmax(1)=MAX(PRECmax(1), ARAIN)
523          PRECmax(2)=MAX(PRECmax(2), ASNOW)
524        ENDIF
525
526
527!#######################################################################
528!#######################################################################
529!
530100   CONTINUE                          ! End "I" & "J" loops
531        DO 101 J=JTS,JTE   
532        DO 101 I=ITS,ITE 
533           DO L=KTS,KTE
534              KFLIP=KTE+1-L
535             CWM_PHY(I,KFLIP,J)=CWM(TEMP_DEX)
536             T_PHY(I,KFLIP,J)=T(TEMP_DEX)
537             Q_PHY(I,KFLIP,J)=Q(TEMP_DEX)
538             TLATGS_PHY(I,KFLIP,J)=TLATGS(TEMP_DEX)
539             TRAIN_PHY(I,KFLIP,J)=TRAIN(TEMP_DEX)
540             F_ice_PHY(I,KFLIP,J)=F_ice(L,I,J)
541             F_rain_PHY(I,KFLIP,J)=F_rain(L,I,J)
542             F_RimeF_PHY(I,KFLIP,J)=F_RimeF(L,I,J)
543           ENDDO
544101     CONTINUE
545      END SUBROUTINE EGCP01DRV
546!
547!
548!###############################################################################
549! ***** VERSION OF MICROPHYSICS DESIGNED FOR HIGHER RESOLUTION MESO ETA MODEL
550!       (1) Represents sedimentation by preserving a portion of the precipitation
551!           through top-down integration from cloud-top.  Modified procedure to
552!           Zhao and Carr (1997).
553!       (2) Microphysical equations are modified to be less sensitive to time
554!           steps by use of Clausius-Clapeyron equation to account for changes in
555!           saturation mixing ratios in response to latent heating/cooling. 
556!       (3) Prevent spurious temperature oscillations across 0C due to
557!           microphysics.
558!       (4) Uses lookup tables for: calculating two different ventilation
559!           coefficients in condensation and deposition processes; accretion of
560!           cloud water by precipitation; precipitation mass; precipitation rate
561!           (and mass-weighted precipitation fall speeds).
562!       (5) Assumes temperature-dependent variation in mean diameter of large ice
563!           (Houze et al., 1979; Ryan et al., 1996).
564!        -> 8/22/01: This relationship has been extended to colder temperatures
565!           to parameterize smaller large-ice particles down to mean sizes of MDImin,
566!           which is 50 microns reached at -55.9C.
567!       (6) Attempts to differentiate growth of large and small ice, mainly for
568!           improved transition from thin cirrus to thick, precipitating ice
569!           anvils.
570!        -> 8/22/01: This feature has been diminished by effectively adjusting to
571!           ice saturation during depositional growth at temperatures colder than
572!           -10C.  Ice sublimation is calculated more explicitly.  The logic is
573!           that sources of are either poorly understood (e.g., nucleation for NWP)
574!           or are not represented in the Eta model (e.g., detrainment of ice from
575!           convection).  Otherwise the model is too wet compared to the radiosonde
576!           observations based on 1 Feb - 18 March 2001 retrospective runs. 
577!       (7) Top-down integration also attempts to treat mixed-phase processes,
578!           allowing a mixture of ice and water.  Based on numerous observational
579!           studies, ice growth is based on nucleation at cloud top &
580!           subsequent growth by vapor deposition and riming as the ice particles
581!           fall through the cloud.  Effective nucleation rates are a function
582!           of ice supersaturation following Meyers et al. (JAM, 1992). 
583!        -> 8/22/01: The simulated relative humidities were far too moist compared
584!           to the rawinsonde observations.  This feature has been substantially
585!           diminished, limited to a much narrower temperature range of 0 to -10C. 
586!       (8) Depositional growth of newly nucleated ice is calculated for large time
587!           steps using Fig. 8 of Miller and Young (JAS, 1979), at 1 deg intervals
588!           using their ice crystal masses calculated after 600 s of growth in water
589!           saturated conditions.  The growth rates are normalized by time step
590!           assuming 3D growth with time**1.5 following eq. (6.3) in Young (1993).
591!        -> 8/22/01: This feature has been effectively limited to 0 to -10C. 
592!       (9) Ice precipitation rates can increase due to increase in response to
593!           cloud water riming due to (a) increased density & mass of the rimed
594!           ice, and (b) increased fall speeds of rimed ice.
595!        -> 8/22/01: This feature has been effectively limited to 0 to -10C. 
596!###############################################################################
597!###############################################################################
598!
599      SUBROUTINE EGCP01COLUMN ( ARAIN, ASNOW, DTPH, I_index, J_index,   &
600     & LSFC, P_col, QI_col, QR_col, QV_col, QW_col, RimeF_col, T_col,   &
601     & THICK_col, WC_col ,KTS,KTE,NSTATS,QMAX,QTOT)                         
602!
603!###############################################################################
604!###############################################################################
605!
606!-------------------------------------------------------------------------------
607!----- NOTE:  Code is currently set up w/o threading! 
608!-------------------------------------------------------------------------------
609!$$$  SUBPROGRAM DOCUMENTATION BLOCK
610!                .      .    .     
611! SUBPROGRAM:  Grid-scale microphysical processes - condensation & precipitation
612!   PRGRMMR: Ferrier         ORG: W/NP22     DATE: 08-2001
613!   PRGRMMR: Jin  (Modification for WRF structure)
614!-------------------------------------------------------------------------------
615! ABSTRACT:
616!   * Merges original GSCOND & PRECPD subroutines.   
617!   * Code has been substantially streamlined and restructured.
618!   * Exchange between water vapor & small cloud condensate is calculated using
619!     the original Asai (1965, J. Japan) algorithm.  See also references to
620!     Yau and Austin (1979, JAS), Rutledge and Hobbs (1983, JAS), and Tao et al.
621!     (1989, MWR).  This algorithm replaces the Sundqvist et al. (1989, MWR)
622!     parameterization. 
623!-------------------------------------------------------------------------------
624!     
625! USAGE:
626!   * CALL EGCP01COLUMN FROM SUBROUTINE EGCP01DRV
627!
628! INPUT ARGUMENT LIST:
629!   DTPH       - physics time step (s)
630!   I_index    - I index
631!   J_index    - J index
632!   LSFC       - Eta level of level above surface, ground
633!   P_col      - vertical column of model pressure (Pa)
634!   QI_col     - vertical column of model ice mixing ratio (kg/kg)
635!   QR_col     - vertical column of model rain ratio (kg/kg)
636!   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
637!   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
638!   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
639!   T_col      - vertical column of model temperature (deg K)
640!   THICK_col  - vertical column of model mass thickness (density*height increment)
641!   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
642!   
643!
644! OUTPUT ARGUMENT LIST:
645!   ARAIN      - accumulated rainfall at the surface (kg)
646!   ASNOW      - accumulated snowfall at the surface (kg)
647!   QV_col     - vertical column of model water vapor specific humidity (kg/kg)
648!   WC_col     - vertical column of model mixing ratio of total condensate (kg/kg)
649!   QW_col     - vertical column of model cloud water mixing ratio (kg/kg)
650!   QI_col     - vertical column of model ice mixing ratio (kg/kg)
651!   QR_col     - vertical column of model rain ratio (kg/kg)
652!   RimeF_col  - vertical column of rime factor for ice in model (ratio, defined below)
653!   T_col      - vertical column of model temperature (deg K)
654!     
655! OUTPUT FILES:
656!     NONE
657!     
658! Subprograms & Functions called:
659!   * Real Function CONDENSE  - cloud water condensation
660!   * Real Function DEPOSIT   - ice deposition (not sublimation)
661!
662! UNIQUE: NONE
663
664! LIBRARY: NONE
665
666! COMMON BLOCKS: 
667!     CMICRO_CONS  - key constants initialized in GSMCONST
668!     CMICRO_STATS - accumulated and maximum statistics
669!     CMY_GROWTH   - lookup table for growth of ice crystals in
670!                    water saturated conditions (Miller & Young, 1979)
671!     IVENT_TABLES - lookup tables for ventilation effects of ice
672!     IACCR_TABLES - lookup tables for accretion rates of ice
673!     IMASS_TABLES - lookup tables for mass content of ice
674!     IRATE_TABLES - lookup tables for precipitation rates of ice
675!     IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
676!     RVENT_TABLES - lookup tables for ventilation effects of rain
677!     RACCR_TABLES - lookup tables for accretion rates of rain
678!     RMASS_TABLES - lookup tables for mass content of rain
679!     RVELR_TABLES - lookup tables for fall speeds of rain
680!     RRATE_TABLES - lookup tables for precipitation rates of rain
681!   
682! ATTRIBUTES:
683!   LANGUAGE: FORTRAN 90
684!   MACHINE : IBM SP
685!
686!
687!-------------------------------------------------------------------------
688!--------------- Arrays & constants in argument list ---------------------
689!-------------------------------------------------------------------------
690!
691      IMPLICIT NONE
692!   
693      INTEGER,INTENT(IN) :: KTS,KTE,I_index, J_index, LSFC
694      REAL,INTENT(INOUT) ::  ARAIN, ASNOW
695      REAL,DIMENSION(KTS:KTE),INTENT(INOUT) ::  P_col, QI_col,QR_col    &
696     & ,QV_col ,QW_col, RimeF_col, T_col, THICK_col,WC_col
697!
698!-------------------------------------------------------------------------
699!-------------- Common blocks for microphysical statistics ---------------
700!-------------------------------------------------------------------------
701!
702!-------------------------------------------------------------------------
703!--------- Common blocks for constants initialized in GSMCONST ----------
704!
705      INTEGER, PARAMETER :: ITLO=-60, ITHI=40
706      INTEGER,INTENT(INOUT) :: NSTATS(ITLO:ITHI,4)
707      REAL,INTENT(INOUT) :: QMAX(ITLO:ITHI,5),QTOT(ITLO:ITHI,22)
708!
709!-------------------------------------------------------------------------
710!--------------- Common blocks for various lookup tables -----------------
711!
712!--- Discretized growth rates of small ice crystals after their nucleation
713!     at 1 C intervals from -1 C to -35 C, based on calculations by Miller
714!     and Young (1979, JAS) after 600 s of growth.  Resultant growth rates
715!     are multiplied by physics time step in GSMCONST.
716!
717!-------------------------------------------------------------------------
718!
719!--- Mean ice-particle diameters varying from 50 microns to 1000 microns
720!      (1 mm), assuming an exponential size distribution. 
721!
722!---- Meaning of the following arrays:
723!        - mdiam - mean diameter (m)
724!        - VENTI1 - integrated quantity associated w/ ventilation effects
725!                   (capacitance only) for calculating vapor deposition onto ice
726!        - VENTI2 - integrated quantity associated w/ ventilation effects
727!                   (with fall speed) for calculating vapor deposition onto ice
728!        - ACCRI  - integrated quantity associated w/ cloud water collection by ice
729!        - MASSI  - integrated quantity associated w/ ice mass
730!        - VSNOWI - mass-weighted fall speed of snow (large ice), used to calculate
731!                   precipitation rates
732!
733!
734!-------------------------------------------------------------------------
735!
736!--- VEL_RF - velocity increase of rimed particles as functions of crude
737!      particle size categories (at 0.1 mm intervals of mean ice particle
738!      sizes) and rime factor (different values of Rime Factor of 1.1**N,
739!      where N=0 to Nrime).
740!
741!-------------------------------------------------------------------------
742!
743!--- Mean rain drop diameters varying from 50 microns (0.05 mm) to 450 microns
744!      (0.45 mm), assuming an exponential size distribution. 
745!
746!-------------------------------------------------------------------------
747!------- Key parameters, local variables, & important comments ---------
748!-----------------------------------------------------------------------
749!
750!--- TOLER => Tolerance or precision for accumulated precipitation
751!
752      REAL, PARAMETER :: TOLER=5.E-7, C2=1./6., RHO0=1.194, Xratio=.025                                           
753!
754!--- If BLEND=1:
755!      precipitation (large) ice amounts are estimated at each level as a
756!      blend of ice falling from the grid point above and the precip ice
757!      present at the start of the time step (see TOT_ICE below).
758!--- If BLEND=0:
759!      precipitation (large) ice amounts are estimated to be the precip
760!      ice present at the start of the time step.
761!
762!--- Extended to include sedimentation of rain on 2/5/01
763!
764      REAL, PARAMETER :: BLEND=1.
765!
766!--- This variable is for debugging purposes (if .true.)
767!
768      LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
769!
770!-----------------------------------------------------------------------
771!--- Local variables
772!-----------------------------------------------------------------------
773!
774      REAL EMAIRI, N0r, NLICE, NSmICE
775      LOGICAL CLEAR, ICE_logical, DBG_logical, RAIN_logical
776      INTEGER :: IDR,INDEX_MY,INDEXR,INDEXR1,INDEXS,IPASS,ITDX,IXRF,    &
777     &           IXS,LBEF,L
778!
779      REAL :: ABI,ABW,AIEVP,ARAINnew,ASNOWnew,BLDTRH,BUDGET,            &
780     &        CREVP,DELI,DELR,DELT,DELV,DELW,DENOMF,                    &
781     &        DENOMI,DENOMW,DENOMWI,DIDEP,                              &
782     &        DIEVP,DIFFUS,DLI,DTPH,DTRHO,DUM,DUM1,                     &
783     &        DUM2,DWV0,DWVI,DWVR,DYNVIS,ESI,ESW,FIR,FLARGE,FLIMASS,    &
784     &        FSMALL,FWR,FWS,GAMMAR,GAMMAS,                             &
785     &        PCOND,PIACR,PIACW,PIACWI,PIACWR,PICND,PIDEP,PIDEP_max,    &
786     &        PIEVP,PILOSS,PIMLT,PP,PRACW,PRAUT,PREVP,PRLOSS,           &
787     &        QI,QInew,QLICE,QR,QRnew,QSI,QSIgrd,QSInew,QSW,QSW0,       &
788     &        QSWgrd,QSWnew,QT,QTICE,QTnew,QTRAIN,QV,QW,QW0,QWnew,      &
789     &        RFACTOR,RHO,RIMEF,RIMEF1,RQR,RR,RRHO,SFACTOR,             &
790     &        TC,TCC,TFACTOR,THERM_COND,THICK,TK,TK2,TNEW,              &
791     &        TOT_ICE,TOT_ICEnew,TOT_RAIN,TOT_RAINnew,                  &
792     &        VEL_INC,VENTR,VENTIL,VENTIS,VRAIN1,VRAIN2,VRIMEF,VSNOW,   &
793     &        WC,WCnew,WSgrd,WS,WSnew,WV,WVnew,WVQW,                    &
794     &        XLF,XLF1,XLI,XLV,XLV1,XLV2,XLIMASS,XRF,XSIMASS         
795!
796!#######################################################################
797!########################## Begin Execution ############################
798!#######################################################################
799!
800!
801      ARAIN=0.                ! Accumulated rainfall into grid box from above (kg/m**2)
802      ASNOW=0.                ! Accumulated snowfall into grid box from above (kg/m**2)
803!
804!-----------------------------------------------------------------------
805!------------ Loop from top (L=1) to surface (L=LSFC) ------------------
806!-----------------------------------------------------------------------
807!
808
809      DO 10 L=1,LSFC
810
811!--- Skip this level and go to the next lower level if no condensate
812!      and very low specific humidities
813!
814        IF (QV_col(L).LE.EPSQ .AND. WC_col(L).LE.EPSQ) GO TO 10
815!
816!-----------------------------------------------------------------------
817!------------ Proceed with cloud microphysics calculations -------------
818!-----------------------------------------------------------------------
819!
820          TK=T_col(L)         ! Temperature (deg K)
821          TC=TK-T0C           ! Temperature (deg C)
822          PP=P_col(L)         ! Pressure (Pa)
823          QV=QV_col(L)        ! Specific humidity of water vapor (kg/kg)
824          WV=QV/(1.-QV)       ! Water vapor mixing ratio (kg/kg)
825          WC=WC_col(L)        ! Grid-scale mixing ratio of total condensate (water or ice; kg/kg)
826!
827!-----------------------------------------------------------------------
828!--- Moisture variables below are mixing ratios & not specifc humidities
829!-----------------------------------------------------------------------
830!
831          CLEAR=.TRUE.
832!   
833!--- This check is to determine grid-scale saturation when no condensate is present
834!   
835          ESW=1000.*FPVS0(TK)              ! Saturation vapor pressure w/r/t water
836          QSW=EPS*ESW/(PP-ESW)             ! Saturation mixing ratio w/r/t water
837          WS=QSW                           ! General saturation mixing ratio (water/ice)
838          IF (TC .LT. 0.) THEN
839            ESI=1000.*FPVS(TK)             ! Saturation vapor pressure w/r/t ice
840            QSI=EPS*ESI/(PP-ESI)           ! Saturation mixing ratio w/r/t water
841            WS=QSI                         ! General saturation mixing ratio (water/ice)
842          ENDIF
843!
844!--- Effective grid-scale Saturation mixing ratios
845!
846          QSWgrd=RHgrd*QSW
847          QSIgrd=RHgrd*QSI
848          WSgrd=RHgrd*WS
849!
850!--- Check if air is subsaturated and w/o condensate
851!
852          IF (WV.GT.WSgrd .OR. WC.GT.EPSQ) CLEAR=.FALSE.
853!
854!--- Check if any rain is falling into layer from above
855!
856          IF (ARAIN .GT. CLIMIT) THEN
857            CLEAR=.FALSE.
858          ELSE
859            ARAIN=0.
860          ENDIF
861!
862!--- Check if any ice is falling into layer from above
863!
864!--- NOTE that "SNOW" in variable names is synonomous with
865!    large, precipitation ice particles
866!
867          IF (ASNOW .GT. CLIMIT) THEN
868            CLEAR=.FALSE.
869          ELSE
870            ASNOW=0.
871          ENDIF
872!
873!-----------------------------------------------------------------------
874!-- Loop to the end if in clear, subsaturated air free of condensate ---
875!-----------------------------------------------------------------------
876!
877          IF (CLEAR) GO TO 10
878!
879!-----------------------------------------------------------------------
880!--------- Initialize RHO, THICK & microphysical processes -------------
881!-----------------------------------------------------------------------
882!
883!
884!--- Virtual temperature, TV=T*(1./EPS-1)*Q, Q is specific humidity;
885!    (see pp. 63-65 in Fleagle & Businger, 1963)
886!
887          RHO=PP/(RD*TK*(1.+EPS1*QV))   ! Air density (kg/m**3)
888          RRHO=1./RHO                ! Reciprocal of air density
889          DTRHO=DTPH*RHO             ! Time step * air density
890          BLDTRH=BLEND*DTRHO         ! Blend parameter * time step * air density
891          THICK=THICK_col(L)         ! Layer thickness = RHO*DZ = -DP/G = (Psfc-Ptop)*D_ETA/(G*ETA_sfc)
892!
893          ARAINnew=0.                ! Updated accumulated rainfall
894          ASNOWnew=0.                ! Updated accumulated snowfall
895          QI=QI_col(L)               ! Ice mixing ratio
896          QInew=0.                   ! Updated ice mixing ratio
897          QR=QR_col(L)               ! Rain mixing ratio
898          QRnew=0.                   ! Updated rain ratio
899          QW=QW_col(L)               ! Cloud water mixing ratio
900          QWnew=0.                   ! Updated cloud water ratio
901!
902          PCOND=0.                   ! Condensation (>0) or evaporation (<0) of cloud water (kg/kg)
903          PIDEP=0.                   ! Deposition (>0) or sublimation (<0) of ice crystals (kg/kg)
904          PIACW=0.                   ! Cloud water collection (riming) by precipitation ice (kg/kg; >0)
905          PIACWI=0.                  ! Growth of precip ice by riming (kg/kg; >0)
906          PIACWR=0.                  ! Shedding of accreted cloud water to form rain (kg/kg; >0)
907          PIACR=0.                   ! Freezing of rain onto large ice at supercooled temps (kg/kg; >0)
908          PICND=0.                   ! Condensation (>0) onto wet, melting ice (kg/kg)
909          PIEVP=0.                   ! Evaporation (<0) from wet, melting ice (kg/kg)
910          PIMLT=0.                   ! Melting ice (kg/kg; >0)
911          PRAUT=0.                   ! Cloud water autoconversion to rain (kg/kg; >0)
912          PRACW=0.                   ! Cloud water collection (accretion) by rain (kg/kg; >0)
913          PREVP=0.                   ! Rain evaporation (kg/kg; <0)
914!
915!--- Double check input hydrometeor mixing ratios
916!
917!          DUM=WC-(QI+QW+QR)
918!          DUM1=ABS(DUM)
919!          DUM2=TOLER*MIN(WC, QI+QW+QR)
920!          IF (DUM1 .GT. DUM2) THEN
921!            WRITE(6,"(/2(a,i4),a,i2)") '{@ i=',I_index,' j=',J_index,
922!     &                                 ' L=',L
923!            WRITE(6,"(4(a12,g11.4,1x))")
924!     & '{@ TCold=',TC,'P=',.01*PP,'DIFF=',DUM,'WCold=',WC,
925!     & '{@ QIold=',QI,'QWold=',QW,'QRold=',QR
926!          ENDIF
927!
928!***********************************************************************
929!*********** MAIN MICROPHYSICS CALCULATIONS NOW FOLLOW! ****************
930!***********************************************************************
931!
932!--- Calculate a few variables, which are used more than once below
933!
934!--- Latent heat of vaporization as a function of temperature from
935!      Bolton (1980, JAS)
936!
937          XLV=3.148E6-2370*TK        ! Latent heat of vaporization (Lv)
938          XLF=XLS-XLV                ! Latent heat of fusion (Lf)
939          XLV1=XLV*RCP               ! Lv/Cp
940          XLF1=XLF*RCP               ! Lf/Cp
941          TK2=1./(TK*TK)             ! 1./TK**2
942          XLV2=XLV*XLV*QSW*TK2/RV    ! Lv**2*Qsw/(Rv*TK**2)
943          DENOMW=1.+XLV2*RCP         ! Denominator term, Clausius-Clapeyron correction
944!
945!--- Basic thermodynamic quantities
946!      * DYNVIS - dynamic viscosity  [ kg/(m*s) ]
947!      * THERM_COND - thermal conductivity  [ J/(m*s*K) ]
948!      * DIFFUS - diffusivity of water vapor  [ m**2/s ]
949!
950          TFACTOR=TK**1.5/(TK+120.)
951          DYNVIS=1.496E-6*TFACTOR
952          THERM_COND=2.116E-3*TFACTOR
953          DIFFUS=8.794E-5*TK**1.81/PP
954!
955!--- Air resistance term for the fall speed of ice following the
956!      basic research by Heymsfield, Kajikawa, others
957!
958          GAMMAS=(1.E5/PP)**C1
959!
960!--- Air resistance for rain fall speed (Beard, 1985, JAS, p.470)
961!
962          GAMMAR=(RHO0/RHO)**.4
963!
964!----------------------------------------------------------------------
965!-------------  IMPORTANT MICROPHYSICS DECISION TREE  -----------------
966!----------------------------------------------------------------------
967!
968!--- Determine if conditions supporting ice are present
969!
970          IF (TC.LT.0. .OR. QI.GT. EPSQ .OR. ASNOW.GT.CLIMIT) THEN
971            ICE_logical=.TRUE.
972          ELSE
973            ICE_logical=.FALSE.
974            QLICE=0.
975            QTICE=0.
976          ENDIF
977!
978!--- Determine if rain is present
979!
980          RAIN_logical=.FALSE.
981          IF (ARAIN.GT.CLIMIT .OR. QR.GT.EPSQ) RAIN_logical=.TRUE.
982!
983          IF (ICE_logical) THEN
984!
985!--- IMPORTANT:  Estimate time-averaged properties.
986!
987!---
988!  * FLARGE  - ratio of number of large ice to total (large & small) ice
989!  * FSMALL  - ratio of number of small ice crystals to large ice particles
990!  ->  Small ice particles are assumed to have a mean diameter of 50 microns.
991!  * XSIMASS - used for calculating small ice mixing ratio
992!---
993!  * TOT_ICE - total mass (small & large) ice before microphysics,
994!              which is the sum of the total mass of large ice in the
995!              current layer and the input flux of ice from above
996!  * PILOSS  - greatest loss (<0) of total (small & large) ice by
997!              sublimation, removing all of the ice falling from above
998!              and the ice within the layer
999!  * RimeF1  - Rime Factor, which is the mass ratio of total (unrimed & rimed)
1000!              ice mass to the unrimed ice mass (>=1)
1001!  * VrimeF  - the velocity increase due to rime factor or melting (ratio, >=1)
1002!  * VSNOW   - Fall speed of rimed snow w/ air resistance correction
1003!  * EMAIRI  - equivalent mass of air associated layer and with fall of snow into layer
1004!  * XLIMASS - used for calculating large ice mixing ratio
1005!  * FLIMASS - mass fraction of large ice
1006!  * QTICE   - time-averaged mixing ratio of total ice
1007!  * QLICE   - time-averaged mixing ratio of large ice
1008!  * NLICE   - time-averaged number concentration of large ice
1009!  * NSmICE  - number concentration of small ice crystals at current level
1010!---
1011!--- Assumed number fraction of large ice particles to total (large & small)
1012!    ice particles, which is based on a general impression of the literature.
1013!
1014            WVQW=WV+QW                ! Water vapor & cloud water
1015!
1016
1017
1018            IF (TC.GE.0. .OR. WVQW.LT.QSIgrd) THEN
1019   !
1020   !--- Eliminate small ice particle contributions for melting & sublimation
1021   !
1022              FLARGE=FLARGE1
1023            ELSE
1024   !
1025   !--- Enhanced number of small ice particles during depositional growth
1026   !    (effective only when 0C > T >= T_ice [-10C] )
1027   !
1028              FLARGE=FLARGE2
1029   !
1030   !--- Larger number of small ice particles due to rime splintering
1031   !
1032              IF (TC.GE.-8. .AND. TC.LE.-3.) FLARGE=.5*FLARGE
1033!
1034            ENDIF            ! End IF (TC.GE.0. .OR. WVQW.LT.QSIgrd)
1035            FSMALL=(1.-FLARGE)/FLARGE
1036            XSIMASS=RRHO*MASSI(MDImin)*FSMALL
1037            IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT) THEN
1038              INDEXS=MDImin
1039              TOT_ICE=0.
1040              PILOSS=0.
1041              RimeF1=1.
1042              VrimeF=1.
1043              VEL_INC=GAMMAS
1044              VSNOW=0.
1045              EMAIRI=THICK
1046              XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
1047              FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
1048              QLICE=0.
1049              QTICE=0.
1050              NLICE=0.
1051              NSmICE=0.
1052            ELSE
1053   !
1054   !--- For T<0C mean particle size follows Houze et al. (JAS, 1979, p. 160),
1055   !    converted from Fig. 5 plot of LAMDAs.  Similar set of relationships
1056   !    also shown in Fig. 8 of Ryan (BAMS, 1996, p. 66).
1057   !
1058              DUM=XMImax*EXP(.0536*TC)
1059              INDEXS=MIN(MDImax, MAX(MDImin, INT(DUM) ) )
1060              TOT_ICE=THICK*QI+BLEND*ASNOW
1061              PILOSS=-TOT_ICE/THICK
1062              LBEF=MAX(1,L-1)
1063              DUM1=RimeF_col(LBEF)
1064              DUM2=RimeF_col(L)
1065              RimeF1=(DUM2*THICK*QI+DUM1*BLEND*ASNOW)/TOT_ICE
1066              RimeF1=MIN(RimeF1, RFmax)
1067              DO IPASS=0,1
1068                IF (RimeF1 .LE. 1.) THEN
1069                  RimeF1=1.
1070                  VrimeF=1.
1071                ELSE
1072                  IXS=MAX(2, MIN(INDEXS/100, 9))
1073                  XRF=10.492*ALOG(RimeF1)
1074                  IXRF=MAX(0, MIN(INT(XRF), Nrime))
1075                  IF (IXRF .GE. Nrime) THEN
1076                    VrimeF=VEL_RF(IXS,Nrime)
1077                  ELSE
1078                    VrimeF=VEL_RF(IXS,IXRF)+(XRF-FLOAT(IXRF))*          &
1079     &                    (VEL_RF(IXS,IXRF+1)-VEL_RF(IXS,IXRF))
1080                  ENDIF
1081                ENDIF            ! End IF (RimeF1 .LE. 1.)
1082                VEL_INC=GAMMAS*VrimeF
1083                VSNOW=VEL_INC*VSNOWI(INDEXS)
1084                EMAIRI=THICK+BLDTRH*VSNOW
1085                XLIMASS=RRHO*RimeF1*MASSI(INDEXS)
1086                FLIMASS=XLIMASS/(XLIMASS+XSIMASS)
1087                QTICE=TOT_ICE/EMAIRI
1088                QLICE=FLIMASS*QTICE
1089                NLICE=QLICE/XLIMASS
1090                NSmICE=Fsmall*NLICE
1091   !
1092                IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax)            &
1093     &                .OR. IPASS.EQ.1) THEN
1094                  EXIT
1095                ELSE
1096        !
1097        !--- Reduce excessive accumulation of ice at upper levels
1098        !    associated with strong grid-resolved ascent
1099        !
1100        !--- Force NLICE to be between NLImin and NLImax
1101        !
1102                  DUM=MAX(NLImin, MIN(NLImax, NLICE) )
1103                  XLI=RHO*(QTICE/DUM-XSIMASS)/RimeF1
1104                  IF (XLI .LE. MASSI(MDImin) ) THEN
1105                    INDEXS=MDImin
1106                  ELSE IF (XLI .LE. MASSI(450) ) THEN
1107                    DLI=9.5885E5*XLI**.42066         ! DLI in microns
1108                    INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
1109                  ELSE IF (XLI .LE. MASSI(MDImax) ) THEN
1110                    DLI=3.9751E6*XLI**.49870         ! DLI in microns
1111                    INDEXS=MIN(MDImax, MAX(MDImin, INT(DLI) ) )
1112                  ELSE
1113                    INDEXS=MDImax
1114           !
1115           !--- 8/22/01: Increase density of large ice if maximum limits
1116           !    are reached for number concentration (NLImax) and mean size
1117           !    (MDImax).  Done to increase fall out of ice.
1118           !
1119                    IF (DUM .GE. NLImax)                                &
1120     &                RimeF1=RHO*(QTICE/NLImax-XSIMASS)/MASSI(INDEXS)
1121                  ENDIF             ! End IF (XLI .LE. MASSI(MDImin) )
1122!            WRITE(6,"(4(a12,g11.4,1x))")
1123!     & '{$ TC=',TC,'P=',.01*PP,'NLICE=',NLICE,'DUM=',DUM,
1124!     & '{$ XLI=',XLI,'INDEXS=',FLOAT(INDEXS),'RHO=',RHO,'QTICE=',QTICE,
1125!     & '{$ XSIMASS=',XSIMASS,'RimeF1=',RimeF1
1126                ENDIF                  ! End IF ( (NLICE.GE.NLImin .AND. NLICE.LE.NLImax) ...
1127              ENDDO                    ! End DO IPASS=0,1
1128            ENDIF                      ! End IF (QI.LE.EPSQ .AND. ASNOW.LE.CLIMIT)
1129          ENDIF                        ! End IF (ICE_logical)
1130!
1131!----------------------------------------------------------------------
1132!--------------- Calculate individual processes -----------------------
1133!----------------------------------------------------------------------
1134!
1135!--- Cloud water autoconversion to rain and collection by rain
1136!
1137          IF (QW.GT.EPSQ .AND. TC.GE.T_ICE) THEN
1138   !
1139   !--- QW0 could be modified based on land/sea properties,
1140   !      presence of convection, etc.  This is why QAUT0 and CRAUT
1141   !      are passed into the subroutine as externally determined
1142   !      parameters.  Can be changed in the future if desired.
1143   !
1144            QW0=QAUT0*RRHO
1145            PRAUT=MAX(0., QW-QW0)*CRAUT
1146            IF (QLICE .GT. EPSQ) THEN
1147      !
1148      !--- Collection of cloud water by large ice particles ("snow")
1149      !    PIACWI=PIACW for riming, PIACWI=0 for shedding
1150      !
1151              FWS=MIN(1., CIACW*VEL_INC*NLICE*ACCRI(INDEXS)/PP**C1)
1152              PIACW=FWS*QW
1153              IF (TC .LT. 0.) PIACWI=PIACW    ! Large ice riming
1154            ENDIF           ! End IF (QLICE .GT. EPSQ)
1155          ENDIF             ! End IF (QW.GT.EPSQ .AND. TC.GE.T_ICE)
1156!
1157!----------------------------------------------------------------------
1158!--- Loop around some of the ice-phase processes if no ice should be present
1159!----------------------------------------------------------------------
1160!
1161          IF (ICE_logical .EQV. .FALSE.) GO TO 20
1162!
1163!--- Now the pretzel logic of calculating ice deposition
1164!
1165          IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ)) THEN
1166   !
1167   !--- Adjust to ice saturation at T<T_ICE (-10C) if supersaturated.
1168   !    Sources of ice due to nucleation and convective detrainment are
1169   !    either poorly understood, poorly resolved at typical NWP
1170   !    resolutions, or are not represented (e.g., no detrained
1171   !    condensate in BMJ Cu scheme).
1172   !   
1173            PCOND=-QW
1174            DUM1=TK+XLV1*PCOND                 ! Updated (dummy) temperature (deg K)
1175            DUM2=WV+QW                         ! Updated (dummy) water vapor mixing ratio
1176            DUM=1000.*FPVS(DUM1)               ! Updated (dummy) saturation vapor pressure w/r/t ice
1177            DUM=RHgrd*EPS*DUM/(PP-DUM)         ! Updated (dummy) saturation mixing ratio w/r/t ice
1178            IF (DUM2 .GT. DUM) PIDEP=DEPOSIT (PP, DUM1, DUM2)
1179            DWVi=0.    ! Used only for debugging
1180   !
1181          ELSE IF (TC .LT. 0.) THEN
1182   !
1183   !--- These quantities are handy for ice deposition/sublimation
1184   !    PIDEP_max - max deposition or minimum sublimation to ice saturation
1185   !
1186            DENOMI=1.+XLS2*QSI*TK2
1187            DWVi=MIN(WVQW,QSW)-QSI
1188            PIDEP_max=MAX(PILOSS, DWVi/DENOMI)
1189            IF (QTICE .GT. 0.) THEN
1190      !
1191      !--- Calculate ice deposition/sublimation
1192      !      * SFACTOR - [VEL_INC**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
1193      !        where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
1194      !      * Units: SFACTOR - s**.5/m ;  ABI - m**2/s ;  NLICE - m**-3 ;
1195      !               VENTIL, VENTIS - m**-2 ;  VENTI1 - m ; 
1196      !               VENTI2 - m**2/s**.5 ; DIDEP - unitless
1197      !
1198              SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
1199              ABI=1./(RHO*XLS3*QSI*TK2/THERM_COND+1./DIFFUS)
1200      !
1201      !--- VENTIL - Number concentration * ventilation factors for large ice
1202      !--- VENTIS - Number concentration * ventilation factors for small ice
1203      !
1204      !--- Variation in the number concentration of ice with time is not
1205      !      accounted for in these calculations (could be in the future).
1206      !
1207              VENTIL=(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))*NLICE
1208              VENTIS=(VENTI1(MDImin)+SFACTOR*VENTI2(MDImin))*NSmICE
1209              DIDEP=ABI*(VENTIL+VENTIS)*DTPH
1210      !
1211      !--- Account for change in water vapor supply w/ time
1212      !
1213              IF (DIDEP .GE. Xratio)then
1214                DIDEP=(1.-EXP(-DIDEP*DENOMI))/DENOMI
1215              endif
1216              IF (DWVi .GT. 0.) THEN
1217                PIDEP=MIN(DWVi*DIDEP, PIDEP_max)
1218              ELSE IF (DWVi .LT. 0.) THEN
1219                PIDEP=MAX(DWVi*DIDEP, PIDEP_max)
1220              ENDIF
1221      !
1222            ELSE IF (WVQW.GT.QSI .AND. TC.LE.T_ICE_init) THEN
1223      !
1224      !--- Ice nucleation in near water-saturated conditions.  Ice crystal
1225      !    growth during time step calculated using Miller & Young (1979, JAS).
1226      !--- These deposition rates could drive conditions below water saturation,
1227      !    which is the basis of these calculations.  Intended to approximate
1228      !    more complex & computationally intensive calculations.
1229      !
1230              INDEX_MY=MAX(MY_T1, MIN( INT(.5-TC), MY_T2 ) )
1231      !
1232      !--- DUM1 is the supersaturation w/r/t ice at water-saturated conditions
1233      !
1234      !--- DUM2 is the number of ice crystals nucleated at water-saturated
1235      !    conditions based on Meyers et al. (JAM, 1992).
1236      !
1237      !--- Prevent unrealistically large ice initiation (limited by PIDEP_max)
1238      !      if DUM2 values are increased in future experiments
1239      !
1240              DUM1=QSW/QSI-1.     
1241              DUM2=1.E3*EXP(12.96*DUM1-.639)
1242              PIDEP=MIN(PIDEP_max, DUM2*MY_GROWTH(INDEX_MY)*RRHO)
1243      !
1244            ENDIF       ! End IF (QTICE .GT. 0.)
1245   !
1246          ENDIF         ! End IF (TC.LT.T_ICE .AND. (WV.GT.QSIgrd .OR. QW.GT.EPSQ))
1247!
1248!------------------------------------------------------------------------
1249!
125020      CONTINUE     ! Jump here if conditions for ice are not present
1251
1252
1253!
1254!------------------------------------------------------------------------
1255!
1256!--- Cloud water condensation
1257!
1258          IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd)) THEN
1259            IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.) THEN
1260              PCOND=CONDENSE (PP, QW, TK, WV)
1261            ELSE
1262   !
1263   !--- Modify cloud condensation in response to ice processes
1264   !
1265              DUM=XLV*QSWgrd*RCPRV*TK2
1266              DENOMWI=1.+XLS*DUM
1267              DENOMF=XLF*DUM
1268              DUM=MAX(0., PIDEP)
1269              PCOND=(WV-QSWgrd-DENOMWI*DUM-DENOMF*PIACWI)/DENOMW
1270              DUM1=-QW
1271              DUM2=PCOND-PIACW
1272              IF (DUM2 .LT. DUM1) THEN
1273      !
1274      !--- Limit cloud water sinks
1275      !
1276                DUM=DUM1/DUM2
1277                PCOND=DUM*PCOND
1278                PIACW=DUM*PIACW
1279                PIACWI=DUM*PIACWI
1280              ENDIF        ! End IF (DUM2 .LT. DUM1)
1281            ENDIF          ! End IF (PIACWI.EQ.0. .AND. PIDEP.EQ.0.)
1282          ENDIF            ! End IF (TC.GE.T_ICE .AND. (QW.GT.EPSQ .OR. WV.GT.QSWgrd))
1283!
1284!--- Limit freezing of accreted rime to prevent temperature oscillations,
1285!    a crude Schumann-Ludlam limit (p. 209 of Young, 1993).
1286!
1287          TCC=TC+XLV1*PCOND+XLS1*PIDEP+XLF1*PIACWI
1288          IF (TCC .GT. 0.) THEN
1289            PIACWI=0.
1290            TCC=TC+XLV1*PCOND+XLS1*PIDEP
1291          ENDIF
1292          IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical) THEN
1293   !
1294   !--- Calculate melting and evaporation/condensation
1295   !      * Units: SFACTOR - s**.5/m ;  ABI - m**2/s ;  NLICE - m**-3 ;
1296   !               VENTIL - m**-2 ;  VENTI1 - m ; 
1297   !               VENTI2 - m**2/s**.5 ; CIEVP - /s
1298   !
1299            SFACTOR=VEL_INC**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
1300            VENTIL=NLICE*(VENTI1(INDEXS)+SFACTOR*VENTI2(INDEXS))
1301            AIEVP=VENTIL*DIFFUS*DTPH
1302            IF (AIEVP .LT. Xratio) THEN
1303              DIEVP=AIEVP
1304            ELSE
1305              DIEVP=1.-EXP(-AIEVP)
1306            ENDIF
1307            QSW0=EPS*ESW0/(PP-ESW0)
1308            DWV0=MIN(WV,QSW)-QSW0
1309            DUM=QW+PCOND
1310            IF (WV.LT.QSW .AND. DUM.LE.EPSQ) THEN
1311   !
1312   !--- Evaporation from melting snow (sink of snow) or shedding
1313   !    of water condensed onto melting snow (source of rain)
1314   !
1315              DUM=DWV0*DIEVP
1316              PIEVP=MAX( MIN(0., DUM), PILOSS)
1317              PICND=MAX(0., DUM)
1318            ENDIF            ! End IF (WV.LT.QSW .AND. DUM.LE.EPSQ)
1319            PIMLT=THERM_COND*TCC*VENTIL*RRHO*DTPH/XLF
1320   !
1321   !--- Limit melting to prevent temperature oscillations across 0C
1322   !
1323            DUM1=MAX( 0., (TCC+XLV1*PIEVP)/XLF1 )
1324            PIMLT=MIN(PIMLT, DUM1)
1325   !
1326   !--- Limit loss of snow by melting (>0) and evaporation
1327   !
1328            DUM=PIEVP-PIMLT
1329            IF (DUM .LT. PILOSS) THEN
1330              DUM1=PILOSS/DUM
1331              PIMLT=PIMLT*DUM1
1332              PIEVP=PIEVP*DUM1
1333            ENDIF           ! End IF (DUM .GT. QTICE)
1334          ENDIF             ! End IF (TC.GT.0. .AND. TCC.GT.0. .AND. ICE_logical)
1335!
1336!--- IMPORTANT:  Estimate time-averaged properties.
1337!
1338!  * TOT_RAIN - total mass of rain before microphysics, which is the sum of
1339!               the total mass of rain in the current layer and the input
1340!               flux of rain from above
1341!  * VRAIN1   - fall speed of rain into grid from above (with air resistance correction)
1342!  * QTRAIN   - time-averaged mixing ratio of rain (kg/kg)
1343!  * PRLOSS   - greatest loss (<0) of rain, removing all rain falling from
1344!               above and the rain within the layer
1345!  * RQR      - rain content (kg/m**3)
1346!  * INDEXR   - mean size of rain drops to the nearest 1 micron in size
1347!  * N0r      - intercept of rain size distribution (typically 10**6 m**-4)
1348!
1349          TOT_RAIN=0.
1350          VRAIN1=0.
1351          QTRAIN=0.
1352          PRLOSS=0.
1353          RQR=0.
1354          N0r=0.
1355          INDEXR1=0
1356          INDEXR=MDRmin
1357          IF (RAIN_logical) THEN
1358            IF (ARAIN .LE. 0.) THEN
1359              INDEXR=MDRmin
1360              VRAIN1=0.
1361            ELSE
1362   !
1363   !--- INDEXR (related to mean diameter) & N0r could be modified
1364   !      by land/sea properties, presence of convection, etc.
1365   !
1366   !--- Rain rate normalized to a density of 1.194 kg/m**3
1367   !
1368              RR=ARAIN/(DTPH*GAMMAR)
1369   !
1370              IF (RR .LE. RR_DRmin) THEN
1371        !
1372        !--- Assume fixed mean diameter of rain (0.2 mm) for low rain rates,
1373        !      instead vary N0r with rain rate
1374        !
1375                INDEXR=MDRmin
1376              ELSE IF (RR .LE. RR_DR1) THEN
1377        !
1378        !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
1379        !      for mean diameters (Dr) between 0.05 and 0.10 mm:
1380        !      V(Dr)=5.6023e4*Dr**1.136, V in m/s and Dr in m
1381        !      RR = PI*1000.*N0r0*5.6023e4*Dr**(4+1.136) = 1.408e15*Dr**5.136,
1382        !        RR in kg/(m**2*s)
1383        !      Dr (m) = 1.123e-3*RR**.1947 -> Dr (microns) = 1.123e3*RR**.1947
1384        !
1385                INDEXR=INT( 1.123E3*RR**.1947 + .5 )
1386                INDEXR=MAX( MDRmin, MIN(INDEXR, MDR1) )
1387              ELSE IF (RR .LE. RR_DR2) THEN
1388        !
1389        !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
1390        !      for mean diameters (Dr) between 0.10 and 0.20 mm:
1391        !      V(Dr)=1.0867e4*Dr**.958, V in m/s and Dr in m
1392        !      RR = PI*1000.*N0r0*1.0867e4*Dr**(4+.958) = 2.731e14*Dr**4.958,
1393        !        RR in kg/(m**2*s)
1394        !      Dr (m) = 1.225e-3*RR**.2017 -> Dr (microns) = 1.225e3*RR**.2017
1395        !
1396                INDEXR=INT( 1.225E3*RR**.2017 + .5 )
1397                INDEXR=MAX( MDR1, MIN(INDEXR, MDR2) )
1398              ELSE IF (RR .LE. RR_DR3) THEN
1399        !
1400        !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
1401        !      for mean diameters (Dr) between 0.20 and 0.32 mm:
1402        !      V(Dr)=2831.*Dr**.80, V in m/s and Dr in m
1403        !      RR = PI*1000.*N0r0*2831.*Dr**(4+.80) = 7.115e13*Dr**4.80,
1404        !        RR in kg/(m**2*s)
1405        !      Dr (m) = 1.3006e-3*RR**.2083 -> Dr (microns) = 1.3006e3*RR**.2083
1406        !
1407                INDEXR=INT( 1.3006E3*RR**.2083 + .5 )
1408                INDEXR=MAX( MDR2, MIN(INDEXR, MDR3) )
1409              ELSE IF (RR .LE. RR_DRmax) THEN
1410        !
1411        !--- Best fit to mass-weighted fall speeds (V) from rain lookup tables
1412        !      for mean diameters (Dr) between 0.32 and 0.45 mm:
1413        !      V(Dr)=944.8*Dr**.6636, V in m/s and Dr in m
1414        !      RR = PI*1000.*N0r0*944.8*Dr**(4+.6636) = 2.3745e13*Dr**4.6636,
1415        !        RR in kg/(m**2*s)
1416        !      Dr (m) = 1.355e-3*RR**.2144 -> Dr (microns) = 1.355e3*RR**.2144
1417        !
1418                INDEXR=INT( 1.355E3*RR**.2144 + .5 )
1419                INDEXR=MAX( MDR3, MIN(INDEXR, MDRmax) )
1420              ELSE
1421        !
1422        !--- Assume fixed mean diameter of rain (0.45 mm) for high rain rates,
1423        !      instead vary N0r with rain rate
1424        !
1425                INDEXR=MDRmax
1426              ENDIF              ! End IF (RR .LE. RR_DRmin) etc.
1427              VRAIN1=GAMMAR*VRAIN(INDEXR)
1428            ENDIF              ! End IF (ARAIN .LE. 0.)
1429            INDEXR1=INDEXR     ! For debugging only
1430            TOT_RAIN=THICK*QR+BLEND*ARAIN
1431            QTRAIN=TOT_RAIN/(THICK+BLDTRH*VRAIN1)
1432            PRLOSS=-TOT_RAIN/THICK
1433            RQR=RHO*QTRAIN
1434   !
1435   !--- RQR - time-averaged rain content (kg/m**3)
1436   !
1437            IF (RQR .LE. RQR_DRmin) THEN
1438              N0r=MAX(N0rmin, CN0r_DMRmin*RQR)
1439              INDEXR=MDRmin
1440            ELSE IF (RQR .GE. RQR_DRmax) THEN
1441              N0r=CN0r_DMRmax*RQR
1442              INDEXR=MDRmax
1443            ELSE
1444              N0r=N0r0
1445              INDEXR=MAX( XMRmin, MIN(CN0r0*RQR**.25, XMRmax) )
1446            ENDIF
1447   !
1448            IF (TC .LT. T_ICE) THEN
1449              PIACR=-PRLOSS
1450            ELSE
1451              DWVr=WV-PCOND-QSW
1452              DUM=QW+PCOND
1453              IF (DWVr.LT.0. .AND. DUM.LE.EPSQ) THEN
1454      !
1455      !--- Rain evaporation
1456      !
1457      !    * RFACTOR - [GAMMAR**.5]*[Schmidt**(1./3.)]*[(RHO/DYNVIS)**.5],
1458      !        where Schmidt (Schmidt Number) =DYNVIS/(RHO*DIFFUS)
1459      !
1460      !    * Units: RFACTOR - s**.5/m ;  ABW - m**2/s ;  VENTR - m**-2 ; 
1461      !             N0r - m**-4 ;  VENTR1 - m**2 ;  VENTR2 - m**3/s**.5 ;
1462      !             CREVP - unitless
1463      !
1464                RFACTOR=GAMMAR**.5*(RHO/(DIFFUS*DIFFUS*DYNVIS))**C2
1465                ABW=1./(RHO*XLV2/THERM_COND+1./DIFFUS)
1466      !
1467      !--- Note that VENTR1, VENTR2 lookup tables do not include the
1468      !      1/Davg multiplier as in the ice tables
1469      !
1470                VENTR=N0r*(VENTR1(INDEXR)+RFACTOR*VENTR2(INDEXR))
1471                CREVP=ABW*VENTR*DTPH
1472                IF (CREVP .LT. Xratio) THEN
1473                  DUM=DWVr*CREVP
1474                ELSE
1475                  DUM=DWVr*(1.-EXP(-CREVP*DENOMW))/DENOMW
1476                ENDIF
1477                PREVP=MAX(DUM, PRLOSS)
1478              ELSE IF (QW .GT. EPSQ) THEN
1479                FWR=CRACW*GAMMAR*N0r*ACCRR(INDEXR)
1480                PRACW=MIN(1.,FWR)*QW
1481              ENDIF           ! End IF (DWVr.LT.0. .AND. DUM.LE.EPSQ)
1482      !
1483              IF (TC.LT.0. .AND. TCC.LT.0.) THEN
1484         !
1485         !--- Biggs (1953) heteorogeneous freezing (e.g., Lin et al., 1983)
1486         !   - Rescaled mean drop diameter from microns (INDEXR) to mm (DUM) to prevent underflow
1487         !
1488                DUM=.001*FLOAT(INDEXR)
1489                DUM=(EXP(ABFR*TC)-1.)*DUM*DUM*DUM*DUM*DUM*DUM*DUM
1490                PIACR=MIN(CBFR*N0r*RRHO*DUM, QTRAIN)
1491                IF (QLICE .GT. EPSQ) THEN
1492            !
1493            !--- Freezing of rain by collisions w/ large ice
1494            !
1495                  DUM=GAMMAR*VRAIN(INDEXR)
1496                  DUM1=DUM-VSNOW
1497            !
1498            !--- DUM2 - Difference in spectral fall speeds of rain and
1499            !      large ice, parameterized following eq. (48) on p. 112 of
1500            !      Murakami (J. Meteor. Soc. Japan, 1990)
1501            !
1502                  DUM2=(DUM1*DUM1+.04*DUM*VSNOW)**.5
1503                  DUM1=5.E-12*INDEXR*INDEXR+2.E-12*INDEXR*INDEXS        &
1504     &                 +.5E-12*INDEXS*INDEXS
1505                  FIR=MIN(1., CIACR*NLICE*DUM1*DUM2)
1506            !
1507            !--- Future?  Should COLLECTION BY SMALL ICE SHOULD BE INCLUDED???
1508            !
1509                  PIACR=MIN(PIACR+FIR*QTRAIN, QTRAIN)
1510                ENDIF        ! End IF (QLICE .GT. EPSQ)
1511                DUM=PREVP-PIACR
1512                If (DUM .LT. PRLOSS) THEN
1513                  DUM1=PRLOSS/DUM
1514                  PREVP=DUM1*PREVP
1515                  PIACR=DUM1*PIACR
1516                ENDIF        ! End If (DUM .LT. PRLOSS)
1517              ENDIF          ! End IF (TC.LT.0. .AND. TCC.LT.0.)
1518            ENDIF            ! End IF (TC .LT. T_ICE)
1519          ENDIF              ! End IF (RAIN_logical)
1520!
1521!----------------------------------------------------------------------
1522!---------------------- Main Budget Equations -------------------------
1523!----------------------------------------------------------------------
1524!
1525!
1526!-----------------------------------------------------------------------
1527!--- Update fields, determine characteristics for next lower layer ----
1528!-----------------------------------------------------------------------
1529!
1530!--- Carefully limit sinks of cloud water
1531!
1532          DUM1=PIACW+PRAUT+PRACW-MIN(0.,PCOND)
1533          IF (DUM1 .GT. QW) THEN
1534            DUM=QW/DUM1
1535            PIACW=DUM*PIACW
1536            PIACWI=DUM*PIACWI
1537            PRAUT=DUM*PRAUT
1538            PRACW=DUM*PRACW
1539            IF (PCOND .LT. 0.) PCOND=DUM*PCOND
1540          ENDIF
1541          PIACWR=PIACW-PIACWI          ! TC >= 0C
1542!
1543!--- QWnew - updated cloud water mixing ratio
1544!
1545          DELW=PCOND-PIACW-PRAUT-PRACW
1546          QWnew=QW+DELW
1547          IF (QWnew .LE. EPSQ) QWnew=0.
1548          IF (QW.GT.0. .AND. QWnew.NE.0.) THEN
1549            DUM=QWnew/QW
1550            IF (DUM .LT. TOLER) QWnew=0.
1551          ENDIF
1552!
1553!--- Update temperature and water vapor mixing ratios
1554!
1555          DELT= XLV1*(PCOND+PIEVP+PICND+PREVP)                          &
1556     &         +XLS1*PIDEP+XLF1*(PIACWI+PIACR-PIMLT)
1557          Tnew=TK+DELT
1558!
1559          DELV=-PCOND-PIDEP-PIEVP-PICND-PREVP
1560          WVnew=WV+DELV
1561!
1562!--- Update ice mixing ratios
1563!
1564!---
1565!  * TOT_ICEnew - total mass (small & large) ice after microphysics,
1566!                 which is the sum of the total mass of large ice in the
1567!                 current layer and the flux of ice out of the grid box below
1568!  * RimeF      - Rime Factor, which is the mass ratio of total (unrimed &
1569!                 rimed) ice mass to the unrimed ice mass (>=1)
1570!  * QInew      - updated mixing ratio of total (large & small) ice in layer
1571!      -> TOT_ICEnew=QInew*THICK+BLDTRH*QLICEnew*VSNOW
1572!        -> But QLICEnew=QInew*FLIMASS, so
1573!      -> TOT_ICEnew=QInew*(THICK+BLDTRH*FLIMASS*VSNOW)
1574!  * ASNOWnew   - updated accumulation of snow at bottom of grid cell
1575!---
1576!
1577          DELI=0.
1578          RimeF=1.
1579          IF (ICE_logical) THEN
1580            DELI=PIDEP+PIEVP+PIACWI+PIACR-PIMLT
1581            TOT_ICEnew=TOT_ICE+THICK*DELI
1582            IF (TOT_ICE.GT.0. .AND. TOT_ICEnew.NE.0.) THEN
1583              DUM=TOT_ICEnew/TOT_ICE
1584              IF (DUM .LT. TOLER) TOT_ICEnew=0.
1585            ENDIF
1586            IF (TOT_ICEnew .LE. CLIMIT) THEN
1587              TOT_ICEnew=0.
1588              RimeF=1.
1589              QInew=0.
1590              ASNOWnew=0.
1591            ELSE
1592      !
1593      !--- Update rime factor if appropriate
1594      !
1595              DUM=PIACWI+PIACR
1596              IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ) THEN
1597                RimeF=RimeF1
1598              ELSE
1599         !
1600         !--- Rime Factor, RimeF = (Total ice mass)/(Total unrimed ice mass)
1601         !      DUM1 - Total ice mass, rimed & unrimed
1602         !      DUM2 - Estimated mass of *unrimed* ice
1603         !
1604                DUM1=TOT_ICE+THICK*(PIDEP+DUM)
1605                DUM2=TOT_ICE/RimeF1+THICK*PIDEP
1606                IF (DUM2 .LE. 0.) THEN
1607                  RimeF=RFmax
1608                ELSE
1609                  RimeF=MIN(RFmax, MAX(1., DUM1/DUM2) )
1610                ENDIF
1611              ENDIF       ! End IF (DUM.LE.EPSQ .AND. PIDEP.LE.EPSQ)
1612              QInew=TOT_ICEnew/(THICK+BLDTRH*FLIMASS*VSNOW)
1613              IF (QInew .LE. EPSQ) QInew=0.
1614              IF (QI.GT.0. .AND. QInew.NE.0.) THEN
1615                DUM=QInew/QI
1616                IF (DUM .LT. TOLER) QInew=0.
1617              ENDIF
1618              ASNOWnew=BLDTRH*FLIMASS*VSNOW*QInew
1619              IF (ASNOW.GT.0. .AND. ASNOWnew.NE.0.) THEN
1620                DUM=ASNOWnew/ASNOW
1621                IF (DUM .LT. TOLER) ASNOWnew=0.
1622              ENDIF
1623            ENDIF         ! End IF (TOT_ICEnew .LE. CLIMIT)
1624          ENDIF           ! End IF (ICE_logical)
1625
1626
1627!
1628!--- Update rain mixing ratios
1629!
1630!---
1631! * TOT_RAINnew - total mass of rain after microphysics
1632!                 current layer and the input flux of ice from above
1633! * VRAIN2      - time-averaged fall speed of rain in grid and below
1634!                 (with air resistance correction)
1635! * QRnew       - updated rain mixing ratio in layer
1636!      -> TOT_RAINnew=QRnew*(THICK+BLDTRH*VRAIN2)
1637!  * ARAINnew  - updated accumulation of rain at bottom of grid cell
1638!---
1639!
1640          DELR=PRAUT+PRACW+PIACWR-PIACR+PIMLT+PREVP+PICND
1641          TOT_RAINnew=TOT_RAIN+THICK*DELR
1642          IF (TOT_RAIN.GT.0. .AND. TOT_RAINnew.NE.0.) THEN
1643            DUM=TOT_RAINnew/TOT_RAIN
1644            IF (DUM .LT. TOLER) TOT_RAINnew=0.
1645          ENDIF
1646          IF (TOT_RAINnew .LE. CLIMIT) THEN
1647            TOT_RAINnew=0.
1648            VRAIN2=0.
1649            QRnew=0.
1650            ARAINnew=0.
1651          ELSE
1652   !
1653   !--- 1st guess time-averaged rain rate at bottom of grid box
1654   !
1655            RR=TOT_RAINnew/(DTPH*GAMMAR)
1656   !
1657   !--- Use same algorithm as above for calculating mean drop diameter
1658   !      (IDR, in microns), which is used to estimate the time-averaged
1659   !      fall speed of rain drops at the bottom of the grid layer.  This
1660   !      isn't perfect, but the alternative is solving a transcendental
1661   !      equation that is numerically inefficient and nasty to program
1662   !      (coded in earlier versions of GSMCOLUMN prior to 8-22-01).
1663   !
1664            IF (RR .LE. RR_DRmin) THEN
1665              IDR=MDRmin
1666            ELSE IF (RR .LE. RR_DR1) THEN
1667              IDR=INT( 1.123E3*RR**.1947 + .5 )
1668              IDR=MAX( MDRmin, MIN(IDR, MDR1) )
1669            ELSE IF (RR .LE. RR_DR2) THEN
1670              IDR=INT( 1.225E3*RR**.2017 + .5 )
1671              IDR=MAX( MDR1, MIN(IDR, MDR2) )
1672            ELSE IF (RR .LE. RR_DR3) THEN
1673              IDR=INT( 1.3006E3*RR**.2083 + .5 )
1674              IDR=MAX( MDR2, MIN(IDR, MDR3) )
1675            ELSE IF (RR .LE. RR_DRmax) THEN
1676              IDR=INT( 1.355E3*RR**.2144 + .5 )
1677              IDR=MAX( MDR3, MIN(IDR, MDRmax) )
1678            ELSE
1679              IDR=MDRmax
1680            ENDIF              ! End IF (RR .LE. RR_DRmin)
1681            VRAIN2=GAMMAR*VRAIN(IDR)
1682            QRnew=TOT_RAINnew/(THICK+BLDTRH*VRAIN2)
1683            IF (QRnew .LE. EPSQ) QRnew=0.
1684            IF (QR.GT.0. .AND. QRnew.NE.0.) THEN
1685              DUM=QRnew/QR
1686              IF (DUM .LT. TOLER) QRnew=0.
1687            ENDIF
1688            ARAINnew=BLDTRH*VRAIN2*QRnew
1689            IF (ARAIN.GT.0. .AND. ARAINnew.NE.0.) THEN
1690              DUM=ARAINnew/ARAIN
1691              IF (DUM .LT. TOLER) ARAINnew=0.
1692            ENDIF
1693          ENDIF
1694!
1695          WCnew=QWnew+QRnew+QInew
1696!
1697!----------------------------------------------------------------------
1698!-------------- Begin debugging & verification ------------------------
1699!----------------------------------------------------------------------
1700!
1701!--- QT, QTnew - total water (vapor & condensate) before & after microphysics, resp.
1702!
1703
1704
1705          QT=THICK*(WV+WC)+ARAIN+ASNOW
1706          QTnew=THICK*(WVnew+WCnew)+ARAINnew+ASNOWnew
1707          BUDGET=QT-QTnew
1708!
1709!--- Additional check on budget preservation, accounting for truncation effects
1710!
1711          DBG_logical=.FALSE.
1712!          DUM=ABS(BUDGET)
1713!          IF (DUM .GT. TOLER) THEN
1714!            DUM=DUM/MIN(QT, QTnew)
1715!            IF (DUM .GT. TOLER) DBG_logical=.TRUE.
1716!          ENDIF
1717!!
1718!          DUM=(RHgrd+.001)*QSInew
1719!          IF ( (QWnew.GT.EPSQ) .OR. QRnew.GT.EPSQ .OR. WVnew.GT.DUM)
1720!     &        .AND. TC.LT.T_ICE )  DBG_logical=.TRUE.
1721!
1722!          IF (TC.GT.5. .AND. QInew.GT.EPSQ) DBG_logical=.TRUE.
1723!
1724          IF ((WVnew.LT.EPSQ .OR. DBG_logical) .AND. PRINT_diag) THEN
1725   !
1726            WRITE(6,"(/2(a,i4),2(a,i2))") '{} i=',I_index,' j=',J_index,&
1727     &                                    ' L=',L,' LSFC=',LSFC
1728   !
1729            ESW=1000.*FPVS0(Tnew)
1730            QSWnew=EPS*ESW/(PP-ESW)
1731            IF (TC.LT.0. .OR. Tnew .LT. 0.) THEN
1732              ESI=1000.*FPVS(Tnew)
1733              QSInew=EPS*ESI/(PP-ESI)
1734            ELSE
1735              QSI=QSW
1736              QSInew=QSWnew
1737            ENDIF
1738            WSnew=QSInew
1739            WRITE(6,"(4(a12,g11.4,1x))")                                   &
1740     & '{} TCold=',TC,'TCnew=',Tnew-T0C,'P=',.01*PP,'RHO=',RHO,            &
1741     & '{} THICK=',THICK,'RHold=',WV/WS,'RHnew=',WVnew/WSnew,              &
1742     &   'RHgrd=',RHgrd,                                                   &
1743     & '{} RHWold=',WV/QSW,'RHWnew=',WVnew/QSWnew,'RHIold=',WV/QSI,        &
1744     &   'RHInew=',WVnew/QSInew,                                           &
1745     & '{} QSWold=',QSW,'QSWnew=',QSWnew,'QSIold=',QSI,'QSInew=',QSInew,   &
1746     & '{} WSold=',WS,'WSnew=',WSnew,'WVold=',WV,'WVnew=',WVnew,           &
1747     & '{} WCold=',WC,'WCnew=',WCnew,'QWold=',QW,'QWnew=',QWnew,           &
1748     & '{} QIold=',QI,'QInew=',QInew,'QRold=',QR,'QRnew=',QRnew,           &
1749     & '{} ARAINold=',ARAIN,'ARAINnew=',ARAINnew,'ASNOWold=',ASNOW,        &
1750     &   'ASNOWnew=',ASNOWnew,                                             &
1751     & '{} TOT_RAIN=',TOT_RAIN,'TOT_RAINnew=',TOT_RAINnew,                 &
1752     &   'TOT_ICE=',TOT_ICE,'TOT_ICEnew=',TOT_ICEnew,                      &
1753     & '{} BUDGET=',BUDGET,'QTold=',QT,'QTnew=',QTnew                       
1754   !
1755            WRITE(6,"(4(a12,g11.4,1x))")                                   &
1756     & '{} DELT=',DELT,'DELV=',DELV,'DELW=',DELW,'DELI=',DELI,             &
1757     & '{} DELR=',DELR,'PCOND=',PCOND,'PIDEP=',PIDEP,'PIEVP=',PIEVP,       &
1758     & '{} PICND=',PICND,'PREVP=',PREVP,'PRAUT=',PRAUT,'PRACW=',PRACW,     &
1759     & '{} PIACW=',PIACW,'PIACWI=',PIACWI,'PIACWR=',PIACWR,'PIMLT=',       &
1760     &    PIMLT,                                                           &
1761     & '{} PIACR=',PIACR                                                   
1762   !
1763            IF (ICE_logical) WRITE(6,"(4(a12,g11.4,1x))")                  &
1764     & '{} RimeF1=',RimeF1,'GAMMAS=',GAMMAS,'VrimeF=',VrimeF,              &
1765     &   'VSNOW=',VSNOW,                                                   &
1766     & '{} INDEXS=',FLOAT(INDEXS),'FLARGE=',FLARGE,'FSMALL=',FSMALL,       &
1767     &   'FLIMASS=',FLIMASS,                                               &
1768     & '{} XSIMASS=',XSIMASS,'XLIMASS=',XLIMASS,'QLICE=',QLICE,            &
1769     &   'QTICE=',QTICE,                                                   &
1770     & '{} NLICE=',NLICE,'NSmICE=',NSmICE,'PILOSS=',PILOSS,                &
1771     &   'EMAIRI=',EMAIRI,                                                 &
1772     & '{} RimeF=',RimeF                                                   
1773   !
1774            IF (TOT_RAIN.GT.0. .OR. TOT_RAINnew.GT.0.)                     &
1775     &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
1776     & '{} INDEXR1=',FLOAT(INDEXR1),'INDEXR=',FLOAT(INDEXR),               &
1777     &   'GAMMAR=',GAMMAR,'N0r=',N0r,                                      &
1778     & '{} VRAIN1=',VRAIN1,'VRAIN2=',VRAIN2,'QTRAIN=',QTRAIN,'RQR=',RQR,   &
1779     & '{} PRLOSS=',PRLOSS,'VOLR1=',THICK+BLDTRH*VRAIN1,                   &
1780     &   'VOLR2=',THICK+BLDTRH*VRAIN2
1781   !
1782            IF (PRAUT .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} QW0=',QW0
1783   !
1784            IF (PRACW .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FWR=',FWR
1785   !
1786            IF (PIACR .GT. 0.) WRITE(6,"(a12,g11.4,1x)") '{} FIR=',FIR
1787   !
1788            DUM=PIMLT+PICND-PREVP-PIEVP
1789            IF (DUM.GT.0. .or. DWVi.NE.0.)                                 &
1790     &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
1791     & '{} TFACTOR=',TFACTOR,'DYNVIS=',DYNVIS,                             &
1792     &   'THERM_CON=',THERM_COND,'DIFFUS=',DIFFUS
1793   !
1794            IF (PREVP .LT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                &
1795     & '{} RFACTOR=',RFACTOR,'ABW=',ABW,'VENTR=',VENTR,'CREVP=',CREVP,     &
1796     & '{} DWVr=',DWVr,'DENOMW=',DENOMW
1797   !
1798            IF (PIDEP.NE.0. .AND. DWVi.NE.0.)                              &
1799     &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
1800     & '{} DWVi=',DWVi,'DENOMI=',DENOMI,'PIDEP_max=',PIDEP_max,            &
1801     &   'SFACTOR=',SFACTOR,                                               &
1802     & '{} ABI=',ABI,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS),           &
1803     &   'VENTIL2=',SFACTOR*VENTI2(INDEXS),                                &
1804     & '{} VENTIS=',VENTIS,'DIDEP=',DIDEP
1805   !
1806            IF (PIDEP.GT.0. .AND. PCOND.NE.0.)                             &
1807     &        WRITE(6,"(4(a12,g11.4,1x))")                                 &
1808     & '{} DENOMW=',DENOMW,'DENOMWI=',DENOMWI,'DENOMF=',DENOMF,            &
1809     &    'DUM2=',PCOND-PIACW
1810   !
1811            IF (FWS .GT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                  &
1812     & '{} FWS=',FWS                     
1813   !
1814            DUM=PIMLT+PICND-PIEVP
1815            IF (DUM.GT. 0.) WRITE(6,"(4(a12,g11.4,1x))")                   &
1816     & '{} SFACTOR=',SFACTOR,'VENTIL=',VENTIL,'VENTIL1=',VENTI1(INDEXS),   &
1817     &   'VENTIL2=',SFACTOR*VENTI2(INDEXS),                                &
1818     & '{} AIEVP=',AIEVP,'DIEVP=',DIEVP,'QSW0=',QSW0,'DWV0=',DWV0       
1819   !
1820          ENDIF
1821
1822
1823!
1824!-----------------------------------------------------------------------
1825!--------------- Water budget statistics & maximum values --------------
1826!-----------------------------------------------------------------------
1827!
1828          IF (PRINT_diag) THEN
1829            ITdx=MAX( ITLO, MIN( INT(Tnew-T0C), ITHI ) )
1830            IF (QInew .GT. EPSQ) NSTATS(ITdx,1)=NSTATS(ITdx,1)+1
1831            IF (QInew.GT.EPSQ  .AND.  QRnew+QWnew.GT.EPSQ)              &
1832     &        NSTATS(ITdx,2)=NSTATS(ITdx,2)+1
1833            IF (QWnew .GT. EPSQ) NSTATS(ITdx,3)=NSTATS(ITdx,3)+1
1834            IF (QRnew .GT. EPSQ) NSTATS(ITdx,4)=NSTATS(ITdx,4)+1
1835  !
1836            QMAX(ITdx,1)=MAX(QMAX(ITdx,1), QInew)
1837            QMAX(ITdx,2)=MAX(QMAX(ITdx,2), QWnew)
1838            QMAX(ITdx,3)=MAX(QMAX(ITdx,3), QRnew)
1839            QMAX(ITdx,4)=MAX(QMAX(ITdx,4), ASNOWnew)
1840            QMAX(ITdx,5)=MAX(QMAX(ITdx,5), ARAINnew)
1841            QTOT(ITdx,1)=QTOT(ITdx,1)+QInew*THICK
1842            QTOT(ITdx,2)=QTOT(ITdx,2)+QWnew*THICK
1843            QTOT(ITdx,3)=QTOT(ITdx,3)+QRnew*THICK
1844  !
1845            QTOT(ITdx,4)=QTOT(ITdx,4)+PCOND*THICK
1846            QTOT(ITdx,5)=QTOT(ITdx,5)+PICND*THICK
1847            QTOT(ITdx,6)=QTOT(ITdx,6)+PIEVP*THICK
1848            QTOT(ITdx,7)=QTOT(ITdx,7)+PIDEP*THICK
1849            QTOT(ITdx,8)=QTOT(ITdx,8)+PREVP*THICK
1850            QTOT(ITdx,9)=QTOT(ITdx,9)+PRAUT*THICK
1851            QTOT(ITdx,10)=QTOT(ITdx,10)+PRACW*THICK
1852            QTOT(ITdx,11)=QTOT(ITdx,11)+PIMLT*THICK
1853            QTOT(ITdx,12)=QTOT(ITdx,12)+PIACW*THICK
1854            QTOT(ITdx,13)=QTOT(ITdx,13)+PIACWI*THICK
1855            QTOT(ITdx,14)=QTOT(ITdx,14)+PIACWR*THICK
1856            QTOT(ITdx,15)=QTOT(ITdx,15)+PIACR*THICK
1857  !
1858            QTOT(ITdx,16)=QTOT(ITdx,16)+(WVnew-WV)*THICK
1859            QTOT(ITdx,17)=QTOT(ITdx,17)+(QWnew-QW)*THICK
1860            QTOT(ITdx,18)=QTOT(ITdx,18)+(QInew-QI)*THICK
1861            QTOT(ITdx,19)=QTOT(ITdx,19)+(QRnew-QR)*THICK
1862            QTOT(ITdx,20)=QTOT(ITdx,20)+(ARAINnew-ARAIN)
1863            QTOT(ITdx,21)=QTOT(ITdx,21)+(ASNOWnew-ASNOW)
1864            IF (QInew .GT. 0.)                                          &
1865     &        QTOT(ITdx,22)=QTOT(ITdx,22)+QInew*THICK/RimeF
1866  !
1867          ENDIF
1868!
1869!----------------------------------------------------------------------
1870!------------------------- Update arrays ------------------------------
1871!----------------------------------------------------------------------
1872!
1873
1874
1875          T_col(L)=Tnew                           ! Updated temperature
1876!
1877          QV_col(L)=max(EPSQ, WVnew/(1.+WVnew))   ! Updated specific humidity
1878          WC_col(L)=max(EPSQ, WCnew)              ! Updated total condensate mixing ratio
1879          QI_col(L)=max(EPSQ, QInew)              ! Updated ice mixing ratio
1880          QR_col(L)=max(EPSQ, QRnew)              ! Updated rain mixing ratio
1881          QW_col(L)=max(EPSQ, QWnew)              ! Updated cloud water mixing ratio
1882          RimeF_col(L)=RimeF                      ! Updated rime factor
1883          ASNOW=ASNOWnew                          ! Updated accumulated snow
1884          ARAIN=ARAINnew                          ! Updated accumulated rain
1885!
1886!#######################################################################
1887!
188810      CONTINUE         ! ##### End "L" loop through model levels #####
1889
1890
1891!
1892!#######################################################################
1893!
1894!-----------------------------------------------------------------------
1895!--------------------------- Return to GSMDRIVE -----------------------
1896!-----------------------------------------------------------------------
1897!
1898        CONTAINS
1899!#######################################################################
1900!--------- Produces accurate calculation of cloud condensation ---------
1901!#######################################################################
1902!
1903      REAL FUNCTION CONDENSE (PP, QW, TK, WV)
1904!
1905!---------------------------------------------------------------------------------
1906!------   The Asai (1965) algorithm takes into consideration the release of ------
1907!------   latent heat in increasing the temperature & in increasing the     ------
1908!------   saturation mixing ratio (following the Clausius-Clapeyron eqn.).  ------
1909!---------------------------------------------------------------------------------
1910!
1911      IMPLICIT NONE
1912!
1913      INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
1914      REAL (KIND=HIGH_PRES), PARAMETER ::                               &
1915     & RHLIMIT=.001, RHLIMIT1=-RHLIMIT
1916      REAL (KIND=HIGH_PRES) :: COND, SSAT, WCdum
1917!
1918      REAL,INTENT(IN) :: QW,PP,WV,TK
1919      REAL WVdum,Tdum,XLV2,DWV,WS,ESW,XLV1,XLV
1920integer nsteps
1921!
1922!-----------------------------------------------------------------------
1923!
1924!--- LV (T) is from Bolton (JAS, 1980)
1925!
1926      XLV=3.148E6-2370.*TK
1927      XLV1=XLV*RCP
1928      XLV2=XLV*XLV*RCPRV
1929      Tdum=TK
1930      WVdum=WV
1931      WCdum=QW
1932      ESW=1000.*FPVS0(Tdum)                     ! Saturation vapor press w/r/t water
1933      WS=RHgrd*EPS*ESW/(PP-ESW)                 ! Saturation mixing ratio w/r/t water
1934      DWV=WVdum-WS                              ! Deficit grid-scale water vapor mixing ratio
1935      SSAT=DWV/WS                               ! Supersaturation ratio
1936      CONDENSE=0.
1937nsteps = 0
1938      DO WHILE ((SSAT.LT.RHLIMIT1 .AND. WCdum.GT.EPSQ)                  &
1939     &           .OR. SSAT.GT.RHLIMIT)
1940        nsteps = nsteps + 1
1941        COND=DWV/(1.+XLV2*WS/(Tdum*Tdum))       ! Asai (1965, J. Japan)
1942        COND=MAX(COND, -WCdum)                  ! Limit cloud water evaporation
1943        Tdum=Tdum+XLV1*COND                     ! Updated temperature
1944        WVdum=WVdum-COND                        ! Updated water vapor mixing ratio
1945        WCdum=WCdum+COND                        ! Updated cloud water mixing ratio
1946        CONDENSE=CONDENSE+COND                  ! Total cloud water condensation
1947        ESW=1000.*FPVS0(Tdum)                   ! Updated saturation vapor press w/r/t water
1948        WS=RHgrd*EPS*ESW/(PP-ESW)               ! Updated saturation mixing ratio w/r/t water
1949        DWV=WVdum-WS                            ! Deficit grid-scale water vapor mixing ratio
1950        SSAT=DWV/WS                             ! Grid-scale supersaturation ratio
1951      ENDDO
1952!
1953      END FUNCTION CONDENSE
1954!
1955!#######################################################################
1956!---------------- Calculate ice deposition at T<T_ICE ------------------
1957!#######################################################################
1958!
1959      REAL FUNCTION DEPOSIT (PP, Tdum, WVdum)
1960!
1961!--- Also uses the Asai (1965) algorithm, but uses a different target
1962!      vapor pressure for the adjustment
1963!
1964      IMPLICIT NONE     
1965!
1966      INTEGER, PARAMETER :: HIGH_PRES=Selected_Real_Kind(15)
1967      REAL (KIND=HIGH_PRES), PARAMETER :: RHLIMIT=.001,                 &
1968     & RHLIMIT1=-RHLIMIT
1969      REAL (KIND=HIGH_PRES) :: DEP, SSAT
1970!   
1971      real,INTENT(IN) ::  PP
1972      real,INTENT(INOUT) ::  WVdum,Tdum
1973      real ESI,WS,DWV
1974!
1975!-----------------------------------------------------------------------
1976!
1977      ESI=1000.*FPVS(Tdum)                      ! Saturation vapor press w/r/t ice
1978      WS=RHgrd*EPS*ESI/(PP-ESI)                 ! Saturation mixing ratio
1979      DWV=WVdum-WS                              ! Deficit grid-scale water vapor mixing ratio
1980      SSAT=DWV/WS                               ! Supersaturation ratio
1981      DEPOSIT=0.
1982      DO WHILE (SSAT.GT.RHLIMIT .OR. SSAT.LT.RHLIMIT1)
1983   !
1984   !--- Note that XLVS2=LS*LV/(CP*RV)=LV*WS/(RV*T*T)*(LS/CP*DEP1),
1985   !     where WS is the saturation mixing ratio following Clausius-
1986   !     Clapeyron (see Asai,1965; Young,1993,p.405)
1987   !
1988        DEP=DWV/(1.+XLS2*WS/(Tdum*Tdum))        ! Asai (1965, J. Japan)
1989        Tdum=Tdum+XLS1*DEP                      ! Updated temperature
1990        WVdum=WVdum-DEP                         ! Updated ice mixing ratio
1991        DEPOSIT=DEPOSIT+DEP                     ! Total ice deposition
1992        ESI=1000.*FPVS(Tdum)                    ! Updated saturation vapor press w/r/t ice
1993        WS=RHgrd*EPS*ESI/(PP-ESI)               ! Updated saturation mixing ratio w/r/t ice
1994        DWV=WVdum-WS                            ! Deficit grid-scale water vapor mixing ratio
1995        SSAT=DWV/WS                             ! Grid-scale supersaturation ratio
1996      ENDDO
1997!
1998      END FUNCTION DEPOSIT
1999!
2000      END SUBROUTINE EGCP01COLUMN
2001
2002!#######################################################################
2003!------- Initialize constants & lookup tables for microphysics ---------
2004!#######################################################################
2005!
2006
2007! SH 0211/2002
2008
2009!-----------------------------------------------------------------------
2010      SUBROUTINE etanewinit (GSMDT,DT,DELX,DELY,LOWLYR,restart,         &
2011     &   F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY,                              &
2012     &   MP_RESTART_STATE,TBPVS_STATE,TBPVS0_STATE,                     &
2013     &   ALLOWED_TO_READ,                                               &
2014     &   IDS,IDE,JDS,JDE,KDS,KDE,                                       &
2015     &   IMS,IME,JMS,JME,KMS,KME,                                       &
2016     &   ITS,ITE,JTS,JTE,KTS,KTE                                       )
2017!-----------------------------------------------------------------------
2018!-------------------------------------------------------------------------------
2019!---  SUBPROGRAM DOCUMENTATION BLOCK
2020!   PRGRMMR: Ferrier         ORG: W/NP22     DATE: February 2001
2021!            Jin             ORG: W/NP22     DATE: January 2002
2022!        (Modification for WRF structure)
2023!                                               
2024!-------------------------------------------------------------------------------
2025! ABSTRACT:
2026!   * Reads various microphysical lookup tables used in COLUMN_MICRO
2027!   * Lookup tables were created "offline" and are read in during execution
2028!   * Creates lookup tables for saturation vapor pressure w/r/t water & ice
2029!-------------------------------------------------------------------------------
2030!     
2031! USAGE: CALL etanewinit FROM SUBROUTINE GSMDRIVE AT MODEL START TIME
2032!
2033!   INPUT ARGUMENT LIST:
2034!       DTPH - physics time step (s)
2035
2036!   OUTPUT ARGUMENT LIST:
2037!     NONE
2038!     
2039!   OUTPUT FILES:
2040!     NONE
2041!     
2042!   SUBROUTINES:
2043!     MY_GROWTH_RATES - lookup table for growth of nucleated ice
2044!     GPVS            - lookup tables for saturation vapor pressure (water, ice)
2045!
2046!   UNIQUE: NONE
2047
2048!   LIBRARY: NONE
2049
2050!   COMMON BLOCKS:
2051!     CMICRO_CONS - constants used in GSMCOLUMN
2052!     CMY600       - lookup table for growth of ice crystals in
2053!                    water saturated conditions (Miller & Young, 1979)
2054!     IVENT_TABLES - lookup tables for ventilation effects of ice
2055!     IACCR_TABLES - lookup tables for accretion rates of ice
2056!     IMASS_TABLES - lookup tables for mass content of ice
2057!     IRATE_TABLES - lookup tables for precipitation rates of ice
2058!     IRIME_TABLES - lookup tables for increase in fall speed of rimed ice
2059!     MAPOT        - Need lat/lon grid resolution
2060!     RVENT_TABLES - lookup tables for ventilation effects of rain
2061!     RACCR_TABLES - lookup tables for accretion rates of rain
2062!     RMASS_TABLES - lookup tables for mass content of rain
2063!     RVELR_TABLES - lookup tables for fall speeds of rain
2064!     RRATE_TABLES - lookup tables for precipitation rates of rain
2065!   
2066! ATTRIBUTES:
2067!   LANGUAGE: FORTRAN 90
2068!   MACHINE : IBM SP
2069!
2070!-----------------------------------------------------------------------
2071!
2072!
2073!-----------------------------------------------------------------------
2074      IMPLICIT NONE
2075!-----------------------------------------------------------------------
2076!-------------------------------------------------------------------------
2077!-------------- Parameters & arrays for lookup tables --------------------
2078!-------------------------------------------------------------------------
2079!
2080!--- Common block of constants used in column microphysics
2081!
2082!WRF
2083!     real DLMD,DPHD
2084!WRF
2085!
2086!-----------------------------------------------------------------------
2087!--- Parameters & data statement for local calculations
2088!-----------------------------------------------------------------------
2089!
2090      INTEGER, PARAMETER :: MDR1=XMR1, MDR2=XMR2, MDR3=XMR3
2091!
2092!     VARIABLES PASSED IN
2093      integer,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                     &
2094     &                     ,IMS,IME,JMS,JME,KMS,KME                     &
2095     &                     ,ITS,ITE,JTS,JTE,KTS,KTE       
2096!WRF
2097       INTEGER, DIMENSION(ims:ime,jms:jme),INTENT(INOUT) :: LOWLYR
2098!
2099      real, INTENT(IN) ::  DELX,DELY
2100      real,DIMENSION(*), INTENT(INOUT) :: MP_RESTART_STATE
2101      real,DIMENSION(NX), INTENT(INOUT) :: TBPVS_STATE,TBPVS0_STATE
2102      real,DIMENSION(ims:ime, kms:kme, jms:jme),INTENT(OUT) ::          &
2103     &  F_ICE_PHY,F_RAIN_PHY,F_RIMEF_PHY
2104      INTEGER, PARAMETER :: ITLO=-60, ITHI=40
2105!     integer,DIMENSION(ITLO:ITHI,4),INTENT(INOUT) :: NSTATS
2106!     real,DIMENSION(ITLO:ITHI,5),INTENT(INOUT) :: QMAX
2107!     real,DIMENSION(ITLO:ITHI,22),INTENT(INOUT) :: QTOT
2108!     real,INTENT(INOUT) :: PRECtot(2),PRECmax(2)
2109      real,INTENT(IN) :: DT,GSMDT
2110      LOGICAL,INTENT(IN) :: allowed_to_read,restart
2111!
2112!-----------------------------------------------------------------------
2113!     LOCAL VARIABLES
2114!-----------------------------------------------------------------------
2115      REAL :: BBFR,DTPH,PI,DX,Thour_print
2116      INTEGER :: I,IM,J,L,K,JTF,KTF,ITF
2117      INTEGER :: etampnew_unit1
2118      LOGICAL, PARAMETER :: PRINT_diag=.FALSE.
2119      LOGICAL :: opened
2120      LOGICAL , EXTERNAL      :: wrf_dm_on_monitor
2121      CHARACTER*80 errmess
2122!
2123!-----------------------------------------------------------------------
2124!
2125      JTF=MIN0(JTE,JDE-1)
2126      KTF=MIN0(KTE,KDE-1)
2127      ITF=MIN0(ITE,IDE-1)
2128!
2129      DO J=JTS,JTF
2130      DO I=ITS,ITF
2131        LOWLYR(I,J)=1
2132      ENDDO
2133      ENDDO
2134!   
2135      IF(.NOT.RESTART)THEN
2136        DO J = jts,jte
2137        DO K = kts,kte
2138        DO I= its,ite
2139          F_ICE_PHY(i,k,j)=0.
2140          F_RAIN_PHY(i,k,j)=0.
2141          F_RIMEF_PHY(i,k,j)=1.
2142        ENDDO
2143        ENDDO
2144        ENDDO
2145      ENDIF
2146!   
2147!-----------------------------------------------------------------------
2148      IF(ALLOWED_TO_READ)THEN
2149!-----------------------------------------------------------------------
2150!
2151        DX=((DELX)**2+(DELY)**2)**.5/1000.    ! Model resolution at equator (km)
2152        DX=MIN(100., MAX(5., DX) )
2153!
2154!-- Relative humidity threshold for the onset of grid-scale condensation
2155!!-- 9/1/01:  Assume the following functional dependence for 5 - 100 km resolution:
2156!!       RHgrd=0.90 for dx=100 km, 0.98 for dx=5 km, where
2157!        RHgrd=0.90+.08*((100.-DX)/95.)**.5
2158!
2159        DTPH=MAX(GSMDT*60.,DT)
2160        DTPH=NINT(DTPH/DT)*DT
2161!
2162!--- Create lookup tables for saturation vapor pressure w/r/t water & ice
2163!
2164        CALL GPVS
2165!
2166!--- Read in various lookup tables
2167!
2168        IF ( wrf_dm_on_monitor() ) THEN
2169          DO i = 31,99
2170            INQUIRE ( i , OPENED = opened )
2171            IF ( .NOT. opened ) THEN
2172              etampnew_unit1 = i
2173              GOTO 2061
2174            ENDIF
2175          ENDDO
2176          etampnew_unit1 = -1
2177 2061     CONTINUE
2178        ENDIF
2179!
2180        CALL wrf_dm_bcast_bytes ( etampnew_unit1 , IWORDSIZE )
2181!
2182        IF ( etampnew_unit1 < 0 ) THEN
2183          CALL wrf_error_fatal ( 'module_mp_etanew: etanewinit: Can not find '// &
2184                                 'unused fortran unit to read in lookup table.' )
2185        ENDIF
2186!
2187        IF ( wrf_dm_on_monitor() ) THEN
2188!!was     OPEN (UNIT=1,FILE="eta_micro_lookup.dat",FORM="UNFORMATTED")
2189          OPEN(UNIT=etampnew_unit1,FILE="ETAMPNEW_DATA",                  &
2190     &        FORM="UNFORMATTED",STATUS="OLD",ERR=9061)
2191!
2192          READ(etampnew_unit1) VENTR1
2193          READ(etampnew_unit1) VENTR2
2194          READ(etampnew_unit1) ACCRR
2195          READ(etampnew_unit1) MASSR
2196          READ(etampnew_unit1) VRAIN
2197          READ(etampnew_unit1) RRATE
2198          READ(etampnew_unit1) VENTI1
2199          READ(etampnew_unit1) VENTI2
2200          READ(etampnew_unit1) ACCRI
2201          READ(etampnew_unit1) MASSI
2202          READ(etampnew_unit1) VSNOWI
2203          READ(etampnew_unit1) VEL_RF
2204!        read(etampnew_unit1) my_growth    ! Applicable only for DTPH=180 s
2205          CLOSE (etampnew_unit1)
2206        ENDIF
2207!
2208        CALL wrf_dm_bcast_bytes ( VENTR1 , size ( VENTR1 ) * RWORDSIZE )
2209        CALL wrf_dm_bcast_bytes ( VENTR2 , size ( VENTR2 ) * RWORDSIZE )
2210        CALL wrf_dm_bcast_bytes ( ACCRR , size ( ACCRR ) * RWORDSIZE )
2211        CALL wrf_dm_bcast_bytes ( MASSR , size ( MASSR ) * RWORDSIZE )
2212        CALL wrf_dm_bcast_bytes ( VRAIN , size ( VRAIN ) * RWORDSIZE )
2213        CALL wrf_dm_bcast_bytes ( RRATE , size ( RRATE ) * RWORDSIZE )
2214        CALL wrf_dm_bcast_bytes ( VENTI1 , size ( VENTI1 ) * RWORDSIZE )
2215        CALL wrf_dm_bcast_bytes ( VENTI2 , size ( VENTI2 ) * RWORDSIZE )
2216        CALL wrf_dm_bcast_bytes ( ACCRI , size ( ACCRI ) * RWORDSIZE )
2217        CALL wrf_dm_bcast_bytes ( MASSI , size ( MASSI ) * RWORDSIZE )
2218        CALL wrf_dm_bcast_bytes ( VSNOWI , size ( VSNOWI ) * RWORDSIZE )
2219        CALL wrf_dm_bcast_bytes ( VEL_RF , size ( VEL_RF ) * RWORDSIZE )
2220!
2221!--- Calculates coefficients for growth rates of ice nucleated in water
2222!    saturated conditions, scaled by physics time step (lookup table)
2223!
2224        CALL MY_GROWTH_RATES (DTPH)
2225!       CALL MY_GROWTH_RATES (DTPH,MY_GROWTH)
2226!
2227        PI=ACOS(-1.)
2228!
2229!--- Constants associated with Biggs (1953) freezing of rain, as parameterized
2230!    following Lin et al. (JCAM, 1983) & Reisner et al. (1998, QJRMS).
2231!
2232        ABFR=-0.66
2233        BBFR=100.
2234        CBFR=20.*PI*PI*BBFR*RHOL*1.E-21
2235!
2236!--- CIACW is used in calculating riming rates
2237!      The assumed effective collection efficiency of cloud water rimed onto
2238!      ice is =0.5 below:
2239!
2240        CIACW=DTPH*0.25*PI*0.5*(1.E5)**C1
2241!
2242!--- CIACR is used in calculating freezing of rain colliding with large ice
2243!      The assumed collection efficiency is 1.0
2244!
2245        CIACR=PI*DTPH
2246!
2247!--- Based on rain lookup tables for mean diameters from 0.05 to 0.45 mm
2248!    * Four different functional relationships of mean drop diameter as
2249!      a function of rain rate (RR), derived based on simple fits to
2250!      mass-weighted fall speeds of rain as functions of mean diameter
2251!      from the lookup tables. 
2252!
2253        RR_DRmin=N0r0*RRATE(MDRmin)     ! RR for mean drop diameter of .05 mm
2254        RR_DR1=N0r0*RRATE(MDR1)         ! RR for mean drop diameter of .10 mm
2255        RR_DR2=N0r0*RRATE(MDR2)         ! RR for mean drop diameter of .20 mm
2256        RR_DR3=N0r0*RRATE(MDR3)         ! RR for mean drop diameter of .32 mm
2257        RR_DRmax=N0r0*RRATE(MDRmax)     ! RR for mean drop diameter of .45 mm
2258!
2259        RQR_DRmin=N0r0*MASSR(MDRmin)    ! Rain content for mean drop diameter of .05 mm
2260        RQR_DR1=N0r0*MASSR(MDR1)        ! Rain content for mean drop diameter of .10 mm
2261        RQR_DR2=N0r0*MASSR(MDR2)        ! Rain content for mean drop diameter of .20 mm
2262        RQR_DR3=N0r0*MASSR(MDR3)        ! Rain content for mean drop diameter of .32 mm
2263        RQR_DRmax=N0r0*MASSR(MDRmax)    ! Rain content for mean drop diameter of .45 mm
2264        C_N0r0=PI*RHOL*N0r0
2265        CN0r0=1.E6/C_N0r0**.25
2266        CN0r_DMRmin=1./(PI*RHOL*DMRmin**4)
2267        CN0r_DMRmax=1./(PI*RHOL*DMRmax**4)
2268!
2269!--- CRACW is used in calculating collection of cloud water by rain (an
2270!      assumed collection efficiency of 1.0)
2271!
2272        CRACW=DTPH*0.25*PI*1.0
2273!
2274        ESW0=1000.*FPVS0(T0C)     ! Saturation vapor pressure at 0C
2275        RFmax=1.1**Nrime          ! Maximum rime factor allowed
2276!
2277!------------------------------------------------------------------------
2278!--------------- Constants passed through argument list -----------------
2279!------------------------------------------------------------------------
2280!
2281!--- Important parameters for self collection (autoconversion) of
2282!    cloud water to rain.
2283!
2284!--- CRAUT is proportional to the rate that cloud water is converted by
2285!      self collection to rain (autoconversion rate)
2286!
2287        CRAUT=1.-EXP(-1.E-3*DTPH)
2288!
2289!--- QAUT0 is the threshold cloud content for autoconversion to rain
2290!      needed for droplets to reach a diameter of 20 microns (following
2291!      Manton and Cotton, 1977; Banta and Hanson, 1987, JCAM)
2292!--- QAUT0=1.2567, 0.8378, or 0.4189 g/m**3 for droplet number concentrations
2293!          of 300, 200, and 100 cm**-3, respectively
2294!
2295        QAUT0=PI*RHOL*NCW*(20.E-6)**3/6.
2296!
2297!--- For calculating snow optical depths by considering bulk density of
2298!      snow based on emails from Q. Fu (6/27-28/01), where optical
2299!      depth (T) = 1.5*SWP/(Reff*DENS), SWP is snow water path, Reff
2300!      is effective radius, and DENS is the bulk density of snow.
2301!
2302!    SWP (kg/m**2)=(1.E-3 kg/g)*SWPrad, SWPrad in g/m**2 used in radiation
2303!    T = 1.5*1.E3*SWPrad/(Reff*DENS)
2304
2305!    See derivation for MASSI(INDEXS), note equal to RHO*QSNOW/NSNOW
2306!
2307!      SDENS=1.5e3/DENS, DENS=MASSI(INDEXS)/[PI*(1.E-6*INDEXS)**3]
2308!
2309        DO I=MDImin,MDImax
2310          SDENS(I)=PI*1.5E-15*FLOAT(I*I*I)/MASSI(I)
2311        ENDDO
2312!
2313        Thour_print=-DTPH/3600.
2314
2315! SH 0211/2002
2316!       IF (PRINT_diag) THEN
2317       
2318      !-------- Total and maximum quantities
2319      !
2320!         NSTATS=0      ! Microphysical statistics dealing w/ grid-point counts
2321!         QMAX=0.       ! Microphysical statistics dealing w/ hydrometeor mass
2322!         QTOT=0.       ! Microphysical statistics dealing w/ hydrometeor mass
2323!         PRECmax=0.    ! Maximum precip rates (rain, snow) at surface (mm/h)
2324!         PRECtot=0.    ! Total precipitation (rain, snow) accumulation at surface
2325!       ENDIF
2326
2327!wrf
2328        IF(.NOT.RESTART)THEN
2329          MP_RESTART_STATE(MY_T1:MY_T2)=MY_GROWTH(MY_T1:MY_T2)
2330          MP_RESTART_STATE(MY_T2+1)=C1XPVS0
2331          MP_RESTART_STATE(MY_T2+2)=C2XPVS0
2332          MP_RESTART_STATE(MY_T2+3)=C1XPVS
2333          MP_RESTART_STATE(MY_T2+4)=C2XPVS
2334          MP_RESTART_STATE(MY_T2+5)=CIACW
2335          MP_RESTART_STATE(MY_T2+6)=CIACR
2336          MP_RESTART_STATE(MY_T2+7)=CRACW
2337          MP_RESTART_STATE(MY_T2+8)=CRAUT
2338          TBPVS_STATE(1:NX) =TBPVS(1:NX)
2339          TBPVS0_STATE(1:NX)=TBPVS0(1:NX)
2340        ENDIF
2341
2342      ENDIF  ! Allowed_to_read
2343
2344      RETURN
2345!
2346!-----------------------------------------------------------------------
2347!
23489061 CONTINUE
2349      WRITE( errmess , '(A,I4)' )                                        &
2350       'module_mp_etanew: error opening ETAMPNEW_DATA on unit '          &
2351     &, etampnew_unit1
2352      CALL wrf_error_fatal(errmess)
2353!
2354!-----------------------------------------------------------------------
2355      END SUBROUTINE etanewinit
2356!
2357      SUBROUTINE MY_GROWTH_RATES (DTPH)
2358!     SUBROUTINE MY_GROWTH_RATES (DTPH,MY_GROWTH)
2359!
2360!--- Below are tabulated values for the predicted mass of ice crystals
2361!    after 600 s of growth in water saturated conditions, based on
2362!    calculations from Miller and Young (JAS, 1979).  These values are
2363!    crudely estimated from tabulated curves at 600 s from Fig. 6.9 of
2364!    Young (1993).  Values at temperatures colder than -27C were
2365!    assumed to be invariant with temperature. 
2366!
2367!--- Used to normalize Miller & Young (1979) calculations of ice growth
2368!    over large time steps using their tabulated values at 600 s.
2369!    Assumes 3D growth with time**1.5 following eq. (6.3) in Young (1993).
2370!
2371      IMPLICIT NONE
2372!
2373      REAL,INTENT(IN) :: DTPH
2374!
2375      REAL  DT_ICE
2376      REAL,DIMENSION(35) :: MY_600
2377!WRF
2378!
2379!-----------------------------------------------------------------------
2380      DATA MY_600 /                                                     &
2381     & 5.5e-8, 1.4E-7, 2.8E-7, 6.E-7, 3.3E-6,                           &
2382     & 2.E-6, 9.E-7, 8.8E-7, 8.2E-7, 9.4e-7,                            &
2383     & 1.2E-6, 1.85E-6, 5.5E-6, 1.5E-5, 1.7E-5,                         &
2384     & 1.5E-5, 1.E-5, 3.4E-6, 1.85E-6, 1.35E-6,                         &
2385     & 1.05E-6, 1.E-6, 9.5E-7, 9.0E-7, 9.5E-7,                          &
2386     & 9.5E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7,                              &
2387     & 9.E-7, 9.E-7, 9.E-7, 9.E-7, 9.E-7 /        ! -31 to -35 deg C
2388!
2389!-----------------------------------------------------------------------
2390!
2391      DT_ICE=(DTPH/600.)**1.5
2392      MY_GROWTH=DT_ICE*MY_600
2393!
2394!-----------------------------------------------------------------------
2395!
2396      END SUBROUTINE MY_GROWTH_RATES
2397!
2398!-----------------------------------------------------------------------
2399!---------  Old GFS saturation vapor pressure lookup tables  -----------
2400!-----------------------------------------------------------------------
2401!
2402      SUBROUTINE GPVS
2403!     ******************************************************************
2404!$$$  SUBPROGRAM DOCUMENTATION BLOCK
2405!                .      .    .
2406! SUBPROGRAM:    GPVS        COMPUTE SATURATION VAPOR PRESSURE TABLE
2407!   AUTHOR: N PHILLIPS       W/NP2      DATE: 30 DEC 82
2408!
2409! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE TABLE AS A FUNCTION OF
2410!   TEMPERATURE FOR THE TABLE LOOKUP FUNCTION FPVS.
2411!   EXACT SATURATION VAPOR PRESSURES ARE CALCULATED IN SUBPROGRAM FPVSX.
2412!   THE CURRENT IMPLEMENTATION COMPUTES A TABLE WITH A LENGTH
2413!   OF 7501 FOR TEMPERATURES RANGING FROM 180.0 TO 330.0 KELVIN.
2414!
2415! PROGRAM HISTORY LOG:
2416!   91-05-07  IREDELL
2417!   94-12-30  IREDELL             EXPAND TABLE
2418!   96-02-19  HONG                ICE EFFECT
2419!   01-11-29  JIN                 MODIFIED FOR WRF
2420!
2421! USAGE:  CALL GPVS
2422!
2423! SUBPROGRAMS CALLED:
2424!   (FPVSX)  - INLINABLE FUNCTION TO COMPUTE SATURATION VAPOR PRESSURE
2425!
2426! COMMON BLOCKS:
2427!   COMPVS   - SCALING PARAMETERS AND TABLE FOR FUNCTION FPVS.
2428!
2429! ATTRIBUTES:
2430!   LANGUAGE: FORTRAN 90
2431!
2432!$$$
2433      IMPLICIT NONE
2434      real :: X,XINC,T
2435      integer :: JX
2436!----------------------------------------------------------------------
2437      XINC=(XMAX-XMIN)/(NX-1)
2438      C1XPVS=1.-XMIN/XINC
2439      C2XPVS=1./XINC
2440      C1XPVS0=1.-XMIN/XINC
2441      C2XPVS0=1./XINC
2442!
2443      DO JX=1,NX
2444        X=XMIN+(JX-1)*XINC
2445        T=X
2446        TBPVS(JX)=FPVSX(T)
2447        TBPVS0(JX)=FPVSX0(T)
2448      ENDDO
2449!
2450      END SUBROUTINE GPVS
2451!-----------------------------------------------------------------------
2452!***********************************************************************
2453!-----------------------------------------------------------------------
2454                     REAL   FUNCTION FPVS(T)
2455!-----------------------------------------------------------------------
2456!$$$  SUBPROGRAM DOCUMENTATION BLOCK
2457!                .      .    .
2458! SUBPROGRAM:    FPVS        COMPUTE SATURATION VAPOR PRESSURE
2459!   AUTHOR: N PHILLIPS            W/NP2      DATE: 30 DEC 82
2460!
2461! ABSTRACT: COMPUTE SATURATION VAPOR PRESSURE FROM THE TEMPERATURE.
2462!   A LINEAR INTERPOLATION IS DONE BETWEEN VALUES IN A LOOKUP TABLE
2463!   COMPUTED IN GPVS. SEE DOCUMENTATION FOR FPVSX FOR DETAILS.
2464!   INPUT VALUES OUTSIDE TABLE RANGE ARE RESET TO TABLE EXTREMA.
2465!   THE INTERPOLATION ACCURACY IS ALMOST 6 DECIMAL PLACES.
2466!   ON THE CRAY, FPVS IS ABOUT 4 TIMES FASTER THAN EXACT CALCULATION.
2467!   THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
2468!
2469! PROGRAM HISTORY LOG:
2470!   91-05-07  IREDELL             MADE INTO INLINABLE FUNCTION
2471!   94-12-30  IREDELL             EXPAND TABLE
2472!   96-02-19  HONG                ICE EFFECT
2473!   01-11-29  JIN                 MODIFIED FOR WRF
2474!
2475! USAGE:   PVS=FPVS(T)
2476!
2477!   INPUT ARGUMENT LIST:
2478!     T        - REAL TEMPERATURE IN KELVIN
2479!
2480!   OUTPUT ARGUMENT LIST:
2481!     FPVS     - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
2482!
2483! ATTRIBUTES:
2484!   LANGUAGE: FORTRAN 90
2485!$$$
2486      IMPLICIT NONE
2487      real,INTENT(IN) :: T
2488      real XJ
2489      integer :: JX
2490!-----------------------------------------------------------------------
2491      XJ=MIN(MAX(C1XPVS+C2XPVS*T,1.),FLOAT(NX))
2492      JX=MIN(XJ,NX-1.)
2493      FPVS=TBPVS(JX)+(XJ-JX)*(TBPVS(JX+1)-TBPVS(JX))
2494!
2495      END FUNCTION FPVS
2496!-----------------------------------------------------------------------
2497!-----------------------------------------------------------------------
2498                     REAL FUNCTION FPVS0(T)
2499!-----------------------------------------------------------------------
2500      IMPLICIT NONE
2501      real,INTENT(IN) :: T
2502      real :: XJ1
2503      integer :: JX1
2504!-----------------------------------------------------------------------
2505      XJ1=MIN(MAX(C1XPVS0+C2XPVS0*T,1.),FLOAT(NX))
2506      JX1=MIN(XJ1,NX-1.)
2507      FPVS0=TBPVS0(JX1)+(XJ1-JX1)*(TBPVS0(JX1+1)-TBPVS0(JX1))
2508!
2509      END FUNCTION FPVS0
2510!-----------------------------------------------------------------------
2511!***********************************************************************
2512!-----------------------------------------------------------------------
2513                    REAL FUNCTION FPVSX(T)
2514!-----------------------------------------------------------------------
2515!$$$  SUBPROGRAM DOCUMENTATION BLOCK
2516!                .      .    .
2517! SUBPROGRAM:    FPVSX       COMPUTE SATURATION VAPOR PRESSURE
2518!   AUTHOR: N PHILLIPS            W/NP2      DATE: 30 DEC 82
2519!
2520! ABSTRACT: EXACTLY COMPUTE SATURATION VAPOR PRESSURE FROM TEMPERATURE.
2521!   THE WATER MODEL ASSUMES A PERFECT GAS, CONSTANT SPECIFIC HEATS
2522!   FOR GAS AND LIQUID, AND NEGLECTS THE VOLUME OF THE LIQUID.
2523!   THE MODEL DOES ACCOUNT FOR THE VARIATION OF THE LATENT HEAT
2524!   OF CONDENSATION WITH TEMPERATURE.  THE ICE OPTION IS NOT INCLUDED.
2525!   THE CLAUSIUS-CLAPEYRON EQUATION IS INTEGRATED FROM THE TRIPLE POINT
2526!   TO GET THE FORMULA
2527!       PVS=PSATK*(TR**XA)*EXP(XB*(1.-TR))
2528!   WHERE TR IS TTP/T AND OTHER VALUES ARE PHYSICAL CONSTANTS
2529!   THIS FUNCTION SHOULD BE EXPANDED INLINE IN THE CALLING ROUTINE.
2530!
2531! PROGRAM HISTORY LOG:
2532!   91-05-07  IREDELL             MADE INTO INLINABLE FUNCTION
2533!   94-12-30  IREDELL             EXACT COMPUTATION
2534!   96-02-19  HONG                ICE EFFECT
2535!   01-11-29  JIN                 MODIFIED FOR WRF
2536!
2537! USAGE:   PVS=FPVSX(T)
2538! REFERENCE:   EMANUEL(1994),116-117
2539!
2540!   INPUT ARGUMENT LIST:
2541!     T        - REAL TEMPERATURE IN KELVIN
2542!
2543!   OUTPUT ARGUMENT LIST:
2544!     FPVSX    - REAL SATURATION VAPOR PRESSURE IN KILOPASCALS (CB)
2545!
2546! ATTRIBUTES:
2547!   LANGUAGE: FORTRAN 90
2548!$$$
2549      IMPLICIT NONE
2550!-----------------------------------------------------------------------
2551       real, parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2   &
2552      ,         CLIQ=4.1855E+3,CVAP= 1.8460E+3                          &
2553      ,         CICE=2.1060E+3,HSUB=2.8340E+6
2554!
2555      real, parameter :: PSATK=PSAT*1.E-3
2556      real, parameter :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
2557      real, parameter :: DLDTI=CVAP-CICE                                &
2558      ,                  XAI=-DLDTI/RV,XBI=XAI+HSUB/(RV*TTP)
2559      real T,TR
2560!-----------------------------------------------------------------------
2561      TR=TTP/T
2562!
2563      IF(T.GE.TTP)THEN
2564        FPVSX=PSATK*(TR**XA)*EXP(XB*(1.-TR))
2565      ELSE
2566        FPVSX=PSATK*(TR**XAI)*EXP(XBI*(1.-TR))
2567      ENDIF
2568!
2569      END FUNCTION FPVSX
2570!-----------------------------------------------------------------------
2571!-----------------------------------------------------------------------
2572                 REAL   FUNCTION FPVSX0(T)
2573!-----------------------------------------------------------------------
2574      IMPLICIT NONE
2575      real,parameter :: TTP=2.7316E+2,HVAP=2.5000E+6,PSAT=6.1078E+2     &
2576      ,         CLIQ=4.1855E+3,CVAP=1.8460E+3                           &
2577      ,         CICE=2.1060E+3,HSUB=2.8340E+6
2578      real,PARAMETER :: PSATK=PSAT*1.E-3
2579      real,PARAMETER :: DLDT=CVAP-CLIQ,XA=-DLDT/RV,XB=XA+HVAP/(RV*TTP)
2580      real,PARAMETER :: DLDTI=CVAP-CICE                                 &
2581      ,                 XAI=-DLDT/RV,XBI=XA+HSUB/(RV*TTP)
2582      real :: T,TR
2583!-----------------------------------------------------------------------
2584      TR=TTP/T
2585      FPVSX0=PSATK*(TR**XA)*EXP(XB*(1.-TR))
2586!
2587      END FUNCTION FPVSX0
2588!
2589      END MODULE module_mp_etanew
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