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

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

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1MODULE module_sf_urban
2
3!===============================================================================
4!     Single-Layer Urban Canopy Model for WRF Noah-LSM
5!     Original Version: 2002/11/06 by Hiroyuki Kusaka
6!     Last Update:      2006/08/24 by Fei Chen and Mukul Tewari (NCAR/RAL) 
7!===============================================================================
8
9   CHARACTER(LEN=4)                :: LU_DATA_TYPE
10
11   INTEGER                         :: ICATE
12
13   REAL, ALLOCATABLE, DIMENSION(:) :: ZR_TBL
14   REAL, ALLOCATABLE, DIMENSION(:) :: Z0C_TBL
15   REAL, ALLOCATABLE, DIMENSION(:) :: Z0HC_TBL
16   REAL, ALLOCATABLE, DIMENSION(:) :: ZDC_TBL
17   REAL, ALLOCATABLE, DIMENSION(:) :: SVF_TBL
18   REAL, ALLOCATABLE, DIMENSION(:) :: R_TBL
19   REAL, ALLOCATABLE, DIMENSION(:) :: RW_TBL
20   REAL, ALLOCATABLE, DIMENSION(:) :: HGT_TBL
21   REAL, ALLOCATABLE, DIMENSION(:) :: CDS_TBL
22   REAL, ALLOCATABLE, DIMENSION(:) :: AS_TBL
23   REAL, ALLOCATABLE, DIMENSION(:) :: AH_TBL
24   REAL, ALLOCATABLE, DIMENSION(:) :: BETR_TBL
25   REAL, ALLOCATABLE, DIMENSION(:) :: BETB_TBL
26   REAL, ALLOCATABLE, DIMENSION(:) :: BETG_TBL
27   REAL, ALLOCATABLE, DIMENSION(:) :: FRC_URB_TBL
28
29   REAL                            :: CAPR_DATA, CAPB_DATA, CAPG_DATA
30   REAL                            :: AKSR_DATA, AKSB_DATA, AKSG_DATA
31   REAL                            :: ALBR_DATA, ALBB_DATA, ALBG_DATA
32   REAL                            :: EPSR_DATA, EPSB_DATA, EPSG_DATA
33   REAL                            :: Z0R_DATA,  Z0B_DATA,  Z0G_DATA
34   REAL                            :: Z0HR_DATA, Z0HB_DATA, Z0HG_DATA
35   REAL                            :: TRLEND_DATA, TBLEND_DATA, TGLEND_DATA
36
37   INTEGER                         :: BOUNDR_DATA,BOUNDB_DATA,BOUNDG_DATA
38   INTEGER                         :: CH_SCHEME_DATA, TS_SCHEME_DATA
39
40   INTEGER                         :: allocate_status
41
42!   INTEGER                         :: num_roof_layers
43!   INTEGER                         :: num_wall_layers
44!   INTEGER                         :: num_road_layers
45
46   CONTAINS
47
48!===============================================================================
49!
50! Author:
51!      Hiroyuki KUSAKA, PhD
52!      University of Tsukuba, JAPAN
53!      (CRIEPI, NCAR/MMM visiting scientist, 2002-2004)
54!      kusaka@ccs.tsukuba.ac.jp
55!
56! Co-Researchers:
57!     Fei CHEN, PhD
58!      NCAR/RAP feichen@ucar.edu
59!     Mukul TEWARI, PhD
60!      NCAR/RAP mukul@ucar.edu
61!
62! Purpose:
63!     Calculate surface temeprature, fluxes, canopy air temperature, and canopy wind
64!
65! Subroutines:
66!     module_sf_urban
67!       |- urban
68!            |- read_param
69!            |- mos or jurges
70!            |- multi_layer or force_restore
71!       |- urban_param_init <-- urban_param.tbl
72!       |- urban_var_init
73!
74! Input Data from WRF [MKS unit]:
75!
76!     UTYPE  [-]     : Urban type. 1=urban, 2=suburban, 3=rural
77!     TA     [K]     : Potential temperature at 1st wrf level (absolute temp)
78!     QA     [kg/kg] : Mixing ratio at 1st atmospheric level
79!     UA     [m/s]   : Wind speed at 1st atmospheric level
80!     SSG    [W/m/m] : Short wave downward radiation at a flat surface
81!                      Note this is the total of direct and diffusive solar
82!                      downward radiation. If without two components, the
83!                      single solar downward can be used instead.
84!                      SSG = SSGD + SSGQ
85!     LSOLAR [-]     : Indicating the input type of solar downward radiation
86!                      True: both direct and diffusive solar radiation
87!                      are available
88!                      False: only total downward ridiation is available.
89!     SSGD   [W/m/m] : Direct solar radiation at a flat surface
90!                      if SSGD is not available, one can assume a ratio SRATIO
91!                      (e.g., 0.7), so that SSGD = SRATIO*SSG
92!     SSGQ   [W/m/m] : Diffuse solar radiation at a flat surface
93!                      If SSGQ is not available, SSGQ = SSG - SSGD
94!     LLG    [W/m/m] : Long wave downward radiation at a flat surface
95!     RAIN   [mm/h]  : Precipitation
96!     RHOO   [kg/m/m/m] : Air density
97!     ZA     [m]     : First atmospheric level
98!                      as a lowest boundary condition
99!     DECLIN [rad]   : solar declination
100!     COSZ           : = sin(fai)*sin(del)+cos(fai)*cos(del)*cos(omg)
101!     OMG    [rad]   : solar hour angle
102!     XLAT   [deg]   : latitude
103!     DELT   [sec]   : Time step
104!     ZNT    [m]     : Roughnes length
105!
106! Output Data to WRF [MKS unit]:
107!
108!     TS  [K]            : Surface potential temperature (absolute temp)
109!     QS  [-]            : Surface humidity
110!
111!     SH  [W/m/m/]       : Sensible heat flux, = FLXTH*RHOO*CPP
112!     LH  [W/m/m]        : Latent heat flux, = FLXHUM*RHOO*ELL
113!     LH_INEMATIC [kg/m/m/sec]: Moisture Kinematic flux, = FLXHUM*RHOO
114!     SW  [W/m/m]        : Upward shortwave radiation flux,
115!                          = SSG-SNET*697.7*60. (697.7*60.=100.*100.*4.186)
116!     ALB [-]            : Time-varying albedo
117!     LW  [W/m/m]        : Upward longwave radiation flux,
118!                          = LNET*697.7*60.-LLG
119!     G   [W/m/m]        : Heat Flux into the Ground
120!     RN  [W/m/m]        : Net radiation
121!
122!     PSIM  [-]          : Diagnostic similarity stability function for momentum
123!     PSIH  [-]          : Diagnostic similarity stability function for heat
124!
125!     TC  [K]            : Diagnostic canopy air temperature
126!     QC  [-]            : Diagnostic canopy humidity
127!
128!     TH2 [K]            : Diagnostic potential temperature at 2 m
129!     Q2  [-]            : Diagnostic humidity at 2 m
130!     U10 [m/s]          : Diagnostic u wind component at 10 m
131!     V10 [m/s]          : Diagnostic v wind component at 10 m
132!
133!     CHS, CHS2 [m/s]    : CH*U at ZA, CH*U at 2 m (not used)
134!
135! Important parameters:
136! Following parameter are assigned in run/urban_param.tbl
137!
138!  ZR  [m]             : roof level (building height)
139!  Z0C [m]             : Roughness length above canyon for momentum (1/10 of ZR)
140!  Z0HC [m]            : Roughness length above canyon for heat (1/10 of Z0C)
141!  ZDC [m]             : Zero plane displacement height (1/5 of ZR)
142!  SVF [-]             : sky view factor. Calculated again in urban_param_init
143!  R   [-]             : building coverage ratio
144!  RW  [-]             : = 1 - R
145!  HGT [-]             : normalized building height
146!  CDS [-]             : drag coefficient by buildings
147!  AS  [1/m]           : buildings volumetric parameter
148!  AH  [cal/cm/cm]     : anthropogenic heat
149!  BETR [-]            : minimum moisture availability of roof
150!  BETB [-]            : minimum moisture availability of building wall
151!  BETG [-]            : minimum moisture availability of road
152!  CAPR[cal/cm/cm/cm/degC]: heat capacity of roof
153!  CAPB[cal/cm/cm/cm/degC]: heat capacity of building wall
154!  CAPG[cal/cm/cm/cm/degC]: heat capacity of road
155!  AKSR [cal/cm/sec/degC] : thermal conductivity of roof
156!  AKSB [cal/cm/sec/degC] : thermal conductivity of building wall
157!  AKSG [cal/cm/sec/degC] : thermal conductivity of road
158!  ALBR [-]               : surface albedo of roof
159!  ALBB [-]               : surface albedo of building wall
160!  ALBG [-]               : surface albedo of road
161!  EPSR [-]               : surface emissivity of roof
162!  EPSB [-]               : surface emissivity of building wall
163!  EPSG [-]               : surface emissivity of road
164!  Z0R [m]                : roughness length for momentum of roof
165!  Z0B [m]                : roughness length for momentum of building wall (only for CH_SCHEME = 1)
166!  Z0G [m]                : roughness length for momentum of road (only for CH_SCHEME = 1)
167!  Z0HR [m]               : roughness length for heat of roof
168!  Z0HB [m]               : roughness length for heat of building wall (only for CH_SCHEME = 1)
169!  Z0HG [m]               : roughness length for heat of roof
170!  num_roof_layers        : number of layers within roof
171!  num_wall_layers        : number of layers within building walls
172!  num_road_layers        : number of layers within below road surface
173!   NOTE: for now, these layers are defined as same as the number of soil layers in namelist.input
174!  DZR [cm]               : thickness of each roof layer
175!  DZB [cm]               : thickness of each building wall layer
176!  DZG [cm]               : thickness of each ground layer
177!  BOUNDR [integer 1 or 2] : Boundary Condition for Roof Layer Temp [1: Zero-Flux, 2: T = Constant]
178!  BOUNDB [integer 1 or 2] : Boundary Condition for Building Wall Layer Temp [1: Zero-Flux, 2: T = Constant]
179!  BOUNDG [integer 1 or 2] : Boundary Condition for Road Layer Temp [1: Zero-Flux, 2: T = Constant]
180!  TRLEND [K]             : lower boundary condition of roof temperature
181!  TBLEND [K]             : lower boundary condition of building temperature
182!  TGLEND [K]             : lower boundary condition of gound temperature
183!  CH_SCHEME [integer 1 or 2] : Sfc exchange scheme used for building wall and road
184!                         [1: M-O Similarity Theory,  2: Empirical Form (recommend)]
185!  TS_SCHEME [integer 1 or 2] : Scheme for computing surface temperature (for roof, wall, and road)
186!                         [1: 4-layer model,  2: Force-Restore method]
187!
188!
189! References:
190!     Kusaka and Kimura (2004) J.Appl.Meteor., vol.43, p1899-1910
191!     Kusaka and Kimura (2004) J.Meteor.Soc.Japan, vol.82, p45-65
192!     Kusaka et al. (2001) Bound.-Layer Meteor., vol.101, p329-358
193!
194! History:
195!     2006/06          modified by H. Kusaka (Univ. Tsukuba), M. Tewari
196!     2005/10/26,      modified by Fei Chen, Mukul Tewari
197!     2003/07/21 WRF , modified  by H. Kusaka of CRIEPI (NCAR/MMM)
198!     2001/08/26 PhD , modified  by H. Kusaka of CRIEPI (Univ.Tsukuba)
199!     1999/08/25 LCM , developed by H. Kusaka of CRIEPI (Univ.Tsukuba)
200!
201!===============================================================================
202!
203!  subroutine urban:
204!
205!===============================================================================
206
207   SUBROUTINE urban(LSOLAR,                                           & ! L
208                    num_roof_layers,num_wall_layers,num_road_layers,  & ! I
209                    DZR,DZB,DZG,                                      & ! I
210                    UTYPE,TA,QA,UA,U1,V1,SSG,SSGD,SSGQ,LLG,RAIN,RHOO, & ! I
211                    ZA,DECLIN,COSZ,OMG,XLAT,DELT,ZNT,                 & ! I
212                    CHS, CHS2,                                        & ! I
213                    TR, TB, TG, TC, QC, UC,                           & ! H
214                    TRL,TBL,TGL,                                      & ! H
215                    XXXR, XXXB, XXXG, XXXC,                           & ! H
216                    TS,QS,SH,LH,LH_KINEMATIC,                         & ! O
217                    SW,ALB,LW,G,RN,PSIM,PSIH,                         & ! O
218                    GZ1OZ0,                                           & ! O
219                    U10,V10,TH2,Q2,UST                                & ! O
220                    )
221
222   IMPLICIT NONE
223
224   REAL, PARAMETER    :: CP=0.24          ! heat capacity of dry air  [cgs unit]
225   REAL, PARAMETER    :: EL=583.          ! latent heat of vaporation [cgs unit]
226   REAL, PARAMETER    :: SIG=8.17E-11     ! stefun bolzman constant   [cgs unit]
227   REAL, PARAMETER    :: SIG_SI=5.67E-8   !                           [MKS unit]
228   REAL, PARAMETER    :: AK=0.4           ! kalman const.                [-]
229   REAL, PARAMETER    :: PI=3.14159       ! pi                           [-]
230   REAL, PARAMETER    :: TETENA=7.5       ! const. of Tetens Equation    [-]
231   REAL, PARAMETER    :: TETENB=237.3     ! const. of Tetens Equation    [-]
232   REAL, PARAMETER    :: SRATIO=0.75      ! ratio between direct/total solar [-]
233
234   REAL, PARAMETER    :: CPP=1004.5       ! heat capacity of dry air    [J/K/kg]
235   REAL, PARAMETER    :: ELL=2.442E+06    ! latent heat of vaporization [J/kg]
236   REAL, PARAMETER    :: XKA=2.4E-5
237
238!-------------------------------------------------------------------------------
239! C: configuration variables
240!-------------------------------------------------------------------------------
241
242   LOGICAL, INTENT(IN) :: LSOLAR  ! logical    [true=both, false=SSG only]
243
244!  The following variables are also model configuration variables, but are
245!  defined in the URBAN.TBL and in the contains statement in the top of
246!  the module_urban_init, so we should not declare them here.
247
248  INTEGER, INTENT(IN) :: num_roof_layers
249  INTEGER, INTENT(IN) :: num_wall_layers
250  INTEGER, INTENT(IN) :: num_road_layers
251
252
253  REAL, INTENT(IN), DIMENSION(1:num_roof_layers) :: DZR ! grid interval of roof layers [cm]
254  REAL, INTENT(IN), DIMENSION(1:num_wall_layers) :: DZB ! grid interval of wall layers [cm]
255  REAL, INTENT(IN), DIMENSION(1:num_road_layers) :: DZG ! grid interval of road layers [cm]
256
257!-------------------------------------------------------------------------------
258! I: input variables from LSM to Urban
259!-------------------------------------------------------------------------------
260
261   INTEGER, INTENT(IN) :: UTYPE ! urban type [urban=1, suburban=2, rural=3]
262
263   REAL, INTENT(IN)    :: TA   ! potential temp at 1st atmospheric level [K]
264   REAL, INTENT(IN)    :: QA   ! mixing ratio at 1st atmospheric level  [kg/kg]
265   REAL, INTENT(IN)    :: UA   ! wind speed at 1st atmospheric level    [m/s]
266   REAL, INTENT(IN)    :: U1   ! u at 1st atmospheric level             [m/s]
267   REAL, INTENT(IN)    :: V1   ! v at 1st atmospheric level             [m/s]
268   REAL, INTENT(IN)    :: SSG  ! downward total short wave radiation    [W/m/m]
269   REAL, INTENT(IN)    :: LLG  ! downward long wave radiation           [W/m/m]
270   REAL, INTENT(IN)    :: RAIN ! precipitation                          [mm/h]
271   REAL, INTENT(IN)    :: RHOO ! air density                            [kg/m^3]
272   REAL, INTENT(IN)    :: ZA   ! first atmospheric level                [m]
273   REAL, INTENT(IN)    :: DECLIN ! solar declination                    [rad]
274   REAL, INTENT(IN)    :: COSZ ! sin(fai)*sin(del)+cos(fai)*cos(del)*cos(omg)
275   REAL, INTENT(IN)    :: OMG  ! solar hour angle                       [rad]
276
277   REAL, INTENT(IN)    :: XLAT ! latitude                               [deg]
278   REAL, INTENT(IN)    :: DELT ! time step                              [s]
279   REAL, INTENT(IN)    :: ZNT  ! roughness length                       [m]
280   REAL, INTENT(IN)    :: CHS,CHS2 ! CH*U at za and 2 m             [m/s]
281
282   REAL, INTENT(INOUT) :: SSGD ! downward direct short wave radiation   [W/m/m]
283   REAL, INTENT(INOUT) :: SSGQ ! downward diffuse short wave radiation  [W/m/m]
284
285!-------------------------------------------------------------------------------
286! O: output variables from Urban to LSM
287!-------------------------------------------------------------------------------
288
289   REAL, INTENT(OUT) :: TS     ! surface potential temperature    [K]
290   REAL, INTENT(OUT) :: QS     ! surface humidity                 [K]
291   REAL, INTENT(OUT) :: SH     ! sensible heat flux               [W/m/m]
292   REAL, INTENT(OUT) :: LH     ! latent heat flux                 [W/m/m]
293   REAL, INTENT(OUT) :: LH_KINEMATIC ! latent heat, kinetic     [kg/m/m/s]
294   REAL, INTENT(OUT) :: SW     ! upward short wave radiation flux [W/m/m]
295   REAL, INTENT(OUT) :: ALB    ! time-varying albedo            [fraction]
296   REAL, INTENT(OUT) :: LW     ! upward long wave radiation flux  [W/m/m]
297   REAL, INTENT(OUT) :: G      ! heat flux into the ground        [W/m/m]
298   REAL, INTENT(OUT) :: RN     ! net radition                     [W/m/m]
299   REAL, INTENT(OUT) :: PSIM   ! similality stability shear function for momentum
300   REAL, INTENT(OUT) :: PSIH   ! similality stability shear function for heat
301   REAL, INTENT(OUT) :: GZ1OZ0   
302   REAL, INTENT(OUT) :: U10    ! u at 10m                         [m/s]
303   REAL, INTENT(OUT) :: V10    ! u at 10m                         [m/s]
304   REAL, INTENT(OUT) :: TH2    ! potential temperature at 2 m     [K]
305   REAL, INTENT(OUT) :: Q2     ! humidity at 2 m                  [-]
306!m   REAL, INTENT(OUT) :: CHS,CHS2 ! CH*U at za and 2 m             [m/s]
307   REAL, INTENT(OUT) :: UST    ! friction velocity                [m/s]
308
309
310!-------------------------------------------------------------------------------
311! H: Historical (state) variables of Urban : LSM <--> Urban
312!-------------------------------------------------------------------------------
313
314! TR: roof temperature              [K];      TRP: at previous time step [K]
315! TB: building wall temperature     [K];      TBP: at previous time step [K]
316! TG: road temperature              [K];      TGP: at previous time step [K]
317! TC: urban-canopy air temperature  [K];      TCP: at previous time step [K]
318!                                                  (absolute temperature)
319! QC: urban-canopy air mixing ratio [kg/kg];  QCP: at previous time step [kg/kg]
320!
321! XXXR: Monin-Obkhov length for roof          [dimensionless]
322! XXXB: Monin-Obkhov length for building wall [dimensionless]
323! XXXG: Monin-Obkhov length for road          [dimensionless]
324! XXXC: Monin-Obkhov length for urban-canopy  [dimensionless]
325!
326! TRL, TBL, TGL: layer temperature [K] (absolute temperature)
327
328   REAL, INTENT(INOUT):: TR, TB, TG, TC, QC, UC
329   REAL, INTENT(INOUT):: XXXR, XXXB, XXXG, XXXC
330
331   REAL, DIMENSION(1:num_roof_layers), INTENT(INOUT) :: TRL
332   REAL, DIMENSION(1:num_wall_layers), INTENT(INOUT) :: TBL
333   REAL, DIMENSION(1:num_road_layers), INTENT(INOUT) :: TGL
334
335!-------------------------------------------------------------------------------
336! L:  Local variables from read_param
337!-------------------------------------------------------------------------------
338
339   REAL :: ZR, Z0C, Z0HC, ZDC, SVF, R, RW, HGT, CDS, AS, AH
340   REAL :: CAPR, CAPB, CAPG, AKSR, AKSB, AKSG, ALBR, ALBB, ALBG
341   REAL :: EPSR, EPSB, EPSG, Z0R,  Z0B,  Z0G,  Z0HR, Z0HB, Z0HG
342   REAL :: TRLEND,TBLEND,TGLEND
343   
344   REAL :: TH2X                                                !m
345   
346   INTEGER :: BOUNDR, BOUNDB, BOUNDG
347   INTEGER :: CH_SCHEME, TS_SCHEME
348
349   LOGICAL :: SHADOW  ! [true=consider svf and shadow effects, false=consider svf effect only]
350
351!-------------------------------------------------------------------------------
352! L: Local variables
353!-------------------------------------------------------------------------------
354
355   REAL :: BETR, BETB, BETG
356   REAL :: SX, SD, SQ, RX
357   REAL :: UR, ZC, XLB, BB
358   REAL :: Z, RIBR, RIBB, RIBG, RIBC, BHR, BHB, BHG, BHC
359   REAL :: TSC, LNET, SNET, FLXUV, THG, FLXTH, FLXHUM, FLXG
360   REAL :: W, VFGS, VFGW, VFWG, VFWS, VFWW
361   REAL :: HOUI1, HOUI2, HOUI3, HOUI4, HOUI5, HOUI6, HOUI7, HOUI8
362   REAL :: SLX, SLX1, SLX2, SLX3, SLX4, SLX5, SLX6, SLX7, SLX8
363   REAL :: FLXTHR, FLXTHB, FLXTHG, FLXHUMR, FLXHUMB, FLXHUMG
364   REAL :: SR, SB, SG, RR, RB, RG
365   REAL :: SR1, SR2, SB1, SB2, SG1, SG2, RR1, RR2, RB1, RB2, RG1, RG2
366   REAL :: HR, HB, HG, ELER, ELEB, ELEG, G0R, G0B, G0G
367   REAL :: ALPHAC, ALPHAR, ALPHAB, ALPHAG
368   REAL :: CHC, CHR, CHB, CHG, CDC, CDR, CDB, CDG
369   REAL :: C1R, C1B, C1G, TE, TC1, TC2, QC1, QC2, QS0R, QS0B, QS0G,RHO,ES
370
371   REAL :: DESDT
372   REAL :: F
373   REAL :: DQS0RDTR
374   REAL :: DRRDTR, DHRDTR, DELERDTR, DG0RDTR
375   REAL :: DTR, DFDT
376   REAL :: FX, FY, GF, GX, GY
377   REAL :: DTCDTB, DTCDTG
378   REAL :: DQCDTB, DQCDTG
379   REAL :: DRBDTB1,  DRBDTG1,  DRBDTB2,  DRBDTG2
380   REAL :: DRGDTB1,  DRGDTG1,  DRGDTB2,  DRGDTG2
381   REAL :: DRBDTB,   DRBDTG,   DRGDTB,   DRGDTG
382   REAL :: DHBDTB,   DHBDTG,   DHGDTB,   DHGDTG
383   REAL :: DELEBDTB, DELEBDTG, DELEGDTG, DELEGDTB
384   REAL :: DG0BDTB,  DG0BDTG,  DG0GDTG,  DG0GDTB
385   REAL :: DQS0BDTB, DQS0GDTG
386   REAL :: DTB, DTG, DTC
387
388   REAL :: THEATAZ    ! Solar Zenith Angle [rad]
389   REAL :: THEATAS    ! = PI/2. - THETAZ
390   REAL :: FAI        ! Latitude [rad]
391   REAL :: CNT,SNT
392   REAL :: PS         ! Surface Pressure [hPa]
393   REAL :: TAV        ! Vertial Temperature [K]
394
395   REAL :: XXX, X, Z0, Z0H, CD, CH
396   REAL :: XXX2, PSIM2, PSIH2, XXX10, PSIM10, PSIH10
397   REAL :: PSIX, PSIT, PSIX2, PSIT2, PSIX10, PSIT10
398
399   REAL :: TRP, TBP, TGP, TCP, QCP, TST, QST
400
401   INTEGER :: iteration, K
402
403!-------------------------------------------------------------------------------
404! Set parameters
405!-------------------------------------------------------------------------------
406
407   CALL read_param(UTYPE,ZR,Z0C,Z0HC,ZDC,SVF,R,RW,HGT,CDS,AS,AH,  &
408                   CAPR,CAPB,CAPG,AKSR,AKSB,AKSG,ALBR,ALBB,ALBG,  &
409                   EPSR,EPSB,EPSG,Z0R,Z0B,Z0G,Z0HR,Z0HB,Z0HG,     &
410                   BETR,BETB,BETG,TRLEND,TBLEND,TGLEND,           &
411                   BOUNDR,BOUNDB,BOUNDG,CH_SCHEME,TS_SCHEME)
412
413   IF( ZDC+Z0C+2. >= ZA) THEN
414    PRINT *, 'ZDC + Z0C + 2m is larger than the 1st WRF level'
415    PRINT *, 'Stop in the subroutine urban - change ZDC and Z0C'
416    STOP
417   END IF
418
419   IF(.NOT.LSOLAR) THEN
420     SSGD = SRATIO*SSG
421     SSGQ = SSG - SSGD
422   ENDIF
423   SSGD = SRATIO*SSG   ! No radiation scheme has SSGD and SSGQ.
424   SSGQ = SSG - SSGD
425
426   W=2.*1.*HGT
427   VFGS=SVF
428   VFGW=1.-SVF
429   VFWG=(1.-SVF)*(1.-R)/W
430   VFWS=VFWG
431   VFWW=1.-2.*VFWG
432
433!-------------------------------------------------------------------------------
434! Convert unit from MKS to cgs
435! Renew surface and layer temperatures
436!-------------------------------------------------------------------------------
437
438   SX=(SSGD+SSGQ)/697.7/60.  ! downward short wave radition [ly/min]
439   SD=SSGD/697.7/60.         ! downward direct short wave radiation
440   SQ=SSGQ/697.7/60.         ! downward diffiusion short wave radiation
441   RX=LLG/697.7/60.          ! downward long wave radiation
442   RHO=RHOO*0.001            ! air density at first atmospheric level
443
444   TRP=TR
445   TBP=TB
446   TGP=TG
447   TCP=TC
448   QCP=QC
449
450   TAV=TA*(1.+0.61*QA)
451   PS=RHOO*287.*TAV/100. ![hPa]
452
453!-------------------------------------------------------------------------------
454! Canopy wind
455!-------------------------------------------------------------------------------
456
457   IF ( ZR + 2. < ZA ) THEN
458     UR=UA*LOG((ZR-ZDC)/Z0C)/LOG((ZA-ZDC)/Z0C)
459     ZC=0.7*ZR
460!     ZC=0.5*ZR
461     XLB=0.4*(ZR-ZDC)
462     BB=ZR*(CDS*AS/(2.*XLB**2.))**(1./3.)
463     UC=UR*EXP(-BB*(1.-ZC/ZR))
464   ELSE
465     print *,'ZR=',ZR, 'ZA=',ZA
466     PRINT *, 'Warning ZR + 2m  is larger than the 1st WRF level'
467     ZC=ZA/2.
468     UC=UA/2.
469   END IF
470
471!-------------------------------------------------------------------------------
472! Net Short Wave Radiation at roof, wall, and road
473!-------------------------------------------------------------------------------
474
475   SHADOW = .false.
476!   SHADOW = .true.
477
478   IF (SSG > 0.0) THEN
479
480     IF(.NOT.SHADOW) THEN              ! no shadow effects model
481
482       SR1=SX*(1.-ALBR)
483       SG1=SX*VFGS*(1.-ALBG)
484       SB1=SX*VFWS*(1.-ALBB)
485       SG2=SB1*ALBB/(1.-ALBB)*VFGW*(1.-ALBG)
486       SB2=SG1*ALBG/(1.-ALBG)*VFWG*(1.-ALBB)
487
488     ELSE                              ! shadow effects model
489
490       FAI=XLAT*PI/180.
491
492       THEATAS=ABS(ASIN(COSZ))
493       THEATAZ=ABS(ACOS(COSZ))
494
495       SNT=COS(DECLIN)*SIN(OMG)/COS(THEATAS)
496       CNT=(COSZ*SIN(FAI)-SIN(DECLIN))/COS(THEATAS)/COS(FAI)
497
498       HOUI1=(SNT*COS(PI/8.)    -CNT*SIN(PI/8.))
499       HOUI2=(SNT*COS(2.*PI/8.) -CNT*SIN(2.*PI/8.))
500       HOUI3=(SNT*COS(3.*PI/8.) -CNT*SIN(3.*PI/8.))
501       HOUI4=(SNT*COS(4.*PI/8.) -CNT*SIN(4.*PI/8.))
502       HOUI5=(SNT*COS(5.*PI/8.) -CNT*SIN(5.*PI/8.))
503       HOUI6=(SNT*COS(6.*PI/8.) -CNT*SIN(6.*PI/8.))
504       HOUI7=(SNT*COS(7.*PI/8.) -CNT*SIN(7.*PI/8.))
505       HOUI8=(SNT*COS(8.*PI/8.) -CNT*SIN(8.*PI/8.))
506
507       SLX1=HGT*ABS(TAN(THEATAZ))*ABS(HOUI1)
508       SLX2=HGT*ABS(TAN(THEATAZ))*ABS(HOUI2)
509       SLX3=HGT*ABS(TAN(THEATAZ))*ABS(HOUI3)
510       SLX4=HGT*ABS(TAN(THEATAZ))*ABS(HOUI4)
511       SLX5=HGT*ABS(TAN(THEATAZ))*ABS(HOUI5)
512       SLX6=HGT*ABS(TAN(THEATAZ))*ABS(HOUI6)
513       SLX7=HGT*ABS(TAN(THEATAZ))*ABS(HOUI7)
514       SLX8=HGT*ABS(TAN(THEATAZ))*ABS(HOUI8)
515
516       IF(SLX1 > RW) SLX1=RW
517       IF(SLX2 > RW) SLX2=RW
518       IF(SLX3 > RW) SLX3=RW
519       IF(SLX4 > RW) SLX4=RW
520       IF(SLX5 > RW) SLX5=RW
521       IF(SLX6 > RW) SLX6=RW
522       IF(SLX7 > RW) SLX7=RW
523       IF(SLX8 > RW) SLX8=RW
524
525       SLX=(SLX1+SLX2+SLX3+SLX4+SLX5+SLX6+SLX7+SLX8)/8.
526
527     END IF
528
529     SR=SR1
530     SG=SG1+SG2
531     SB=SB1+SB2
532
533     SNET=R*SR+W*SB+RW*SG
534
535   ELSE
536
537     SR=0.
538     SG=0.
539     SB=0.
540     SNET=0.
541
542   END IF
543
544!-------------------------------------------------------------------------------
545! Roof
546!-------------------------------------------------------------------------------
547
548!-------------------------------------------------------------------------------
549! CHR, CDR, BETR
550!-------------------------------------------------------------------------------
551
552   Z=ZA-ZDC
553   BHR=LOG(Z0R/Z0HR)/0.4
554   RIBR=(9.8*2./(TA+TRP))*(TA-TRP)*(Z+Z0R)/(UA*UA)
555
556   CALL mos(XXXR,ALPHAR,CDR,BHR,RIBR,Z,Z0R,UA,TA,TRP,RHO)
557
558   CHR=ALPHAR/RHO/CP/UA
559
560   IF(RAIN > 1.) BETR=0.7 
561
562   IF (TS_SCHEME == 1) THEN
563
564!-------------------------------------------------------------------------------
565! TR  Solving Non-Linear Equation by Newton-Rapson
566! TRL Solving Heat Equation by Tri Diagonal Matrix Algorithm 
567!-------------------------------------------------------------------------------
568!      TSC=TRP-273.15                         
569!      ES=EXP(19.482-4303.4/(TSC+243.5))        ! WMO
570!      ES=6.11*10.**(TETENA*TSC/(TETENB+TSC))   ! Tetens
571!      DESDT=( 6.1078*(2500.-2.4*TSC)/ &        ! Tetens
572!            (0.46151*(TSC+273.15)**2.) )*10.**(7.5*TSC/(237.3+TSC))
573!      ES=6.11*EXP((2.5*10.**6./461.51)*(TRP-273.15)/(273.15*TRP) ) ! Clausius-Clapeyron
574!      DESDT=(2.5*10.**6./461.51)*ES/(TRP**2.)                      ! Clausius-Clapeyron
575!      QS0R=0.622*ES/(PS-0.378*ES)
576!      DQS0RDTR = DESDT*0.622*PS/((PS-0.378*ES)**2.)
577!      DQS0RDTR = 17.269*(273.15-35.86)/((TRP-35.86)**2.)*QS0R
578
579!    TRP=350.
580
581     DO ITERATION=1,20
582
583       ES=6.11*EXP( (2.5*10.**6./461.51)*(TRP-273.15)/(273.15*TRP) )
584       DESDT=(2.5*10.**6./461.51)*ES/(TRP**2.)
585       QS0R=0.622*ES/(PS-0.378*ES)
586       DQS0RDTR = DESDT*0.622*PS/((PS-0.378*ES)**2.)
587
588       RR=EPSR*(RX-SIG*(TRP**4.)/60.)
589       HR=RHO*CP*CHR*UA*(TRP-TA)*100.
590       ELER=RHO*EL*CHR*UA*BETR*(QS0R-QA)*100.
591       G0R=AKSR*(TRP-TRL(1))/(DZR(1)/2.)
592
593       F = SR + RR - HR - ELER - G0R
594
595       DRRDTR = (-4.*EPSR*SIG*TRP**3.)/60.
596       DHRDTR = RHO*CP*CHR*UA*100.
597       DELERDTR = RHO*EL*CHR*UA*BETR*DQS0RDTR*100.
598       DG0RDTR =  2.*AKSR/DZR(1)
599
600       DFDT = DRRDTR - DHRDTR - DELERDTR - DG0RDTR
601       DTR = F/DFDT
602
603       TR = TRP - DTR
604       TRP = TR
605
606       IF( ABS(F) < 0.000001 .AND. ABS(DTR) < 0.000001 ) EXIT
607
608     END DO
609
610! multi-layer heat equation model
611
612     CALL multi_layer(num_roof_layers,BOUNDR,G0R,CAPR,AKSR,TRL,DZR,DELT,TRLEND)
613
614   ELSE
615
616     ES=6.11*EXP( (2.5*10.**6./461.51)*(TRP-273.15)/(273.15*TRP) )
617     QS0R=0.622*ES/(PS-0.378*ES)       
618
619     RR=EPSR*(RX-SIG*(TRP**4.)/60.)
620     HR=RHO*CP*CHR*UA*(TRP-TA)*100.
621     ELER=RHO*EL*CHR*UA*BETR*(QS0R-QA)*100.
622     G0R=SR+RR-HR-ELER
623
624     CALL force_restore(CAPR,AKSR,DELT,SR,RR,HR,ELER,TRLEND,TRP,TR)
625
626     TRP=TR
627
628   END IF
629
630   FLXTHR=HR/RHO/CP/100.
631   FLXHUMR=ELER/RHO/EL/100.
632
633!-------------------------------------------------------------------------------
634!  Wall and Road
635!-------------------------------------------------------------------------------
636
637!-------------------------------------------------------------------------------
638!  CHC, CHB, CDB, BETB, CHG, CDG, BETG
639!-------------------------------------------------------------------------------
640
641   Z=ZA-ZDC
642   BHC=LOG(Z0C/Z0HC)/0.4
643   RIBC=(9.8*2./(TA+TCP))*(TA-TCP)*(Z+Z0C)/(UA*UA)
644
645   CALL mos(XXXC,ALPHAC,CDC,BHC,RIBC,Z,Z0C,UA,TA,TCP,RHO)
646
647   IF (CH_SCHEME == 1) THEN
648
649     Z=ZDC
650     BHB=LOG(Z0B/Z0HB)/0.4
651     BHG=LOG(Z0G/Z0HG)/0.4
652     RIBB=(9.8*2./(TCP+TBP))*(TCP-TBP)*(Z+Z0B)/(UC*UC)
653     RIBG=(9.8*2./(TCP+TGP))*(TCP-TGP)*(Z+Z0G)/(UC*UC)
654
655     CALL mos(XXXB,ALPHAB,CDB,BHB,RIBB,Z,Z0B,UC,TCP,TBP,RHO)
656     CALL mos(XXXG,ALPHAG,CDG,BHG,RIBG,Z,Z0G,UC,TCP,TGP,RHO)
657
658   ELSE
659
660     ALPHAB=RHO*CP*(6.15+4.18*UC)/1200.
661     IF(UC > 5.) ALPHAB=RHO*CP*(7.51*UC**0.78)/1200.
662     ALPHAG=RHO*CP*(6.15+4.18*UC)/1200.
663     IF(UC > 5.) ALPHAG=RHO*CP*(7.51*UC**0.78)/1200.
664
665   END IF
666
667   CHC=ALPHAC/RHO/CP/UA
668   CHB=ALPHAB/RHO/CP/UC
669   CHG=ALPHAG/RHO/CP/UC
670
671   BETB=0.0
672   IF(RAIN > 1.) BETG=0.7
673
674   IF (TS_SCHEME == 1) THEN
675
676!-------------------------------------------------------------------------------
677!  TB, TG  Solving Non-Linear Simultaneous Equation by Newton-Rapson
678!  TBL,TGL Solving Heat Equation by Tri Diagonal Matrix Algorithm 
679!-------------------------------------------------------------------------------
680
681!    TBP=350.
682!    TGP=350.
683
684     DO ITERATION=1,20
685
686       ES=6.11*EXP( (2.5*10.**6./461.51)*(TBP-273.15)/(273.15*TBP) )
687       DESDT=(2.5*10.**6./461.51)*ES/(TBP**2.)
688       QS0B=0.622*ES/(PS-0.378*ES)
689       DQS0BDTB=DESDT*0.622*PS/((PS-0.378*ES)**2.)
690
691       ES=6.11*EXP( (2.5*10.**6./461.51)*(TGP-273.15)/(273.15*TGP) )
692       DESDT=(2.5*10.**6./461.51)*ES/(TGP**2.)
693       QS0G=0.622*ES/(PS-0.378*ES)       
694       DQS0GDTG=DESDT*0.22*PS/((PS-0.378*ES)**2.)
695
696       RG1=EPSG*( RX*VFGS          &
697       +EPSB*VFGW*SIG*TBP**4./60.  &
698       -SIG*TGP**4./60. )
699
700       RB1=EPSB*( RX*VFWS         &
701       +EPSG*VFWG*SIG*TGP**4./60. &
702       +EPSB*VFWW*SIG*TBP**4./60. &
703       -SIG*TBP**4./60. )
704
705       RG2=EPSG*( (1.-EPSB)*(1.-SVF)*VFWS*RX                  &
706       +(1.-EPSB)*(1.-SVF)*VFWG*EPSG*SIG*TGP**4./60.          &
707       +EPSB*(1.-EPSB)*(1.-SVF)*(1.-2.*VFWS)*SIG*TBP**4./60. )
708
709       RB2=EPSB*( (1.-EPSG)*VFWG*VFGS*RX                          &
710       +(1.-EPSG)*EPSB*VFGW*VFWG*SIG*(TBP**4.)/60.                &
711       +(1.-EPSB)*VFWS*(1.-2.*VFWS)*RX                            &
712       +(1.-EPSB)*VFWG*(1.-2.*VFWS)*EPSG*SIG*EPSG*TGP**4./60.     &
713       +EPSB*(1.-EPSB)*(1.-2.*VFWS)*(1.-2.*VFWS)*SIG*TBP**4./60. )
714
715       RG=RG1+RG2
716       RB=RB1+RB2
717
718       DRBDTB1=EPSB*(4.*EPSB*SIG*TB**3.*VFWW-4.*SIG*TB**3.)/60.
719       DRBDTG1=EPSB*(4.*EPSG*SIG*TG**3.*VFWG)/60.
720       DRBDTB2=EPSB*(4.*(1.-EPSG)*EPSB*SIG*TB**3.*VFGW*VFWG &
721               +4.*EPSB*(1.-EPSB)*SIG*TB**3.*VFWW*VFWW)/60.
722       DRBDTG2=EPSB*(4.*(1.-EPSB)*EPSG*SIG*TG**3.*VFWG*VFWW)/60.
723
724       DRGDTB1=EPSG*(4.*EPSB*SIG*TB**3.*VFGW)/60.
725       DRGDTG1=EPSG*(-4.*SIG*TG**3.)/60.
726       DRGDTB2=EPSG*(4.*EPSB*(1.-EPSB)*SIG*TB**3.*VFWW*VFGW)/60.
727       DRGDTG2=EPSG*(4.*(1.-EPSB)*EPSG*SIG*TG**3.*VFWG*VFGW)/60.
728
729       DRBDTB=DRBDTB1+DRBDTB2
730       DRBDTG=DRBDTG1+DRBDTG2
731       DRGDTB=DRGDTB1+DRGDTB2
732       DRGDTG=DRGDTG1+DRGDTG2
733
734       HB=RHO*CP*CHB*UC*(TBP-TCP)*100.
735       HG=RHO*CP*CHG*UC*(TGP-TCP)*100.
736
737       DTCDTB=W*ALPHAB/(RW*ALPHAC+RW*ALPHAG+W*ALPHAB)
738       DTCDTG=RW*ALPHAG/(RW*ALPHAC+RW*ALPHAG+W*ALPHAB)
739
740       DHBDTB=RHO*CP*CHB*UC*(1.-DTCDTB)*100.
741       DHBDTG=RHO*CP*CHB*UC*(0.-DTCDTG)*100.
742       DHGDTG=RHO*CP*CHG*UC*(1.-DTCDTG)*100.
743       DHGDTB=RHO*CP*CHG*UC*(0.-DTCDTB)*100.
744
745       ELEB=RHO*EL*CHB*UC*BETB*(QS0B-QCP)*100.
746       ELEG=RHO*EL*CHG*UC*BETG*(QS0G-QCP)*100.
747
748       DQCDTB=W*ALPHAB*BETB*DQS0BDTB/(RW*ALPHAC+RW*ALPHAG*BETG+W*ALPHAB*BETB)
749       DQCDTG=RW*ALPHAG*BETG*DQS0GDTG/(RW*ALPHAC+RW*ALPHAG*BETG+W*ALPHAB*BETB)
750
751       DELEBDTB=RHO*EL*CHB*UC*BETB*(DQS0BDTB-DQCDTB)*100.
752       DELEBDTG=RHO*EL*CHB*UC*BETB*(0.-DQCDTG)*100.
753       DELEGDTG=RHO*EL*CHG*UC*BETG*(DQS0GDTG-DQCDTG)*100.
754       DELEGDTB=RHO*EL*CHG*UC*BETG*(0.-DQCDTB)*100.
755
756       G0B=AKSB*(TBP-TBL(1))/(DZB(1)/2.)
757       G0G=AKSG*(TGP-TGL(1))/(DZG(1)/2.)
758
759       DG0BDTB=2.*AKSB/DZB(1)
760       DG0BDTG=0.
761       DG0GDTG=2.*AKSG/DZG(1)
762       DG0GDTB=0.
763
764       F = SB + RB - HB - ELEB - G0B
765       FX = DRBDTB - DHBDTB - DELEBDTB - DG0BDTB
766       FY = DRBDTG - DHBDTG - DELEBDTG - DG0BDTG
767
768       GF = SG + RG - HG - ELEG - G0G
769       GX = DRGDTB - DHGDTB - DELEGDTB - DG0GDTB
770       GY = DRGDTG - DHGDTG - DELEGDTG - DG0GDTG
771
772       DTB =  (GF*FY-F*GY)/(FX*GY-GX*FY)
773       DTG = -(GF+GX*DTB)/GY
774
775       TB = TBP + DTB
776       TG = TGP + DTG
777
778       TBP = TB
779       TGP = TG
780
781       TC1=RW*ALPHAC+RW*ALPHAG+W*ALPHAB
782       TC2=RW*ALPHAC*TA+RW*ALPHAG*TGP+W*ALPHAB*TBP
783       TC=TC2/TC1
784
785       QC1=RW*ALPHAC+RW*ALPHAG*BETG+W*ALPHAB*BETB
786       QC2=RW*ALPHAC*QA+RW*ALPHAG*BETG*QS0G+W*ALPHAB*BETB*QS0B
787       QC=QC2/QC1
788
789       DTC=TCP - TC
790       TCP=TC
791       QCP=QC
792
793       IF( ABS(F) < 0.000001 .AND. ABS(DTB) < 0.000001 &
794        .AND. ABS(GF) < 0.000001 .AND. ABS(DTG) < 0.000001 &
795        .AND. ABS(DTC) < 0.000001) EXIT
796
797     END DO
798
799     CALL multi_layer(num_wall_layers,BOUNDB,G0B,CAPB,AKSB,TBL,DZB,DELT,TBLEND)
800
801     CALL multi_layer(num_road_layers,BOUNDG,G0G,CAPG,AKSG,TGL,DZG,DELT,TGLEND)
802
803   ELSE
804
805!-------------------------------------------------------------------------------
806!  TB, TG  by Force-Restore Method
807!-------------------------------------------------------------------------------
808
809       ES=6.11*EXP((2.5*10.**6./461.51)*(TBP-273.15)/(273.15*TBP) )
810       QS0B=0.622*ES/(PS-0.378*ES)       
811
812       ES=6.11*EXP((2.5*10.**6./461.51)*(TGP-273.15)/(273.15*TGP) )
813       QS0G=0.622*ES/(PS-0.378*ES)       
814
815       RG1=EPSG*( RX*VFGS             &
816       +EPSB*VFGW*SIG*TBP**4./60.     &
817       -SIG*TGP**4./60. )
818
819       RB1=EPSB*( RX*VFWS &
820       +EPSG*VFWG*SIG*TGP**4./60. &
821       +EPSB*VFWW*SIG*TBP**4./60. &
822       -SIG*TBP**4./60. )
823
824       RG2=EPSG*( (1.-EPSB)*(1.-SVF)*VFWS*RX                   &
825       +(1.-EPSB)*(1.-SVF)*VFWG*EPSG*SIG*TGP**4./60.           &
826       +EPSB*(1.-EPSB)*(1.-SVF)*(1.-2.*VFWS)*SIG*TBP**4./60. )
827
828       RB2=EPSB*( (1.-EPSG)*VFWG*VFGS*RX                          &
829       +(1.-EPSG)*EPSB*VFGW*VFWG*SIG*(TBP**4.)/60.                &
830       +(1.-EPSB)*VFWS*(1.-2.*VFWS)*RX                            &
831       +(1.-EPSB)*VFWG*(1.-2.*VFWS)*EPSG*SIG*EPSG*TGP**4./60.     &
832       +EPSB*(1.-EPSB)*(1.-2.*VFWS)*(1.-2.*VFWS)*SIG*TBP**4./60. )
833
834       RG=RG1+RG2
835       RB=RB1+RB2
836
837       HB=RHO*CP*CHB*UC*(TBP-TCP)*100.
838       ELEB=RHO*EL*CHB*UC*BETB*(QS0B-QCP)*100.
839       G0B=SB+RB-HB-ELEB
840
841       HG=RHO*CP*CHG*UC*(TGP-TCP)*100.
842       ELEG=RHO*EL*CHG*UC*BETG*(QS0G-QCP)*100.
843       G0G=SG+RG-HG-ELEG
844
845       CALL force_restore(CAPB,AKSB,DELT,SB,RB,HB,ELEB,TBLEND,TBP,TB)
846       CALL force_restore(CAPG,AKSG,DELT,SG,RG,HG,ELEG,TGLEND,TGP,TG)
847
848       TBP=TB
849       TGP=TG
850
851       TC1=RW*ALPHAC+RW*ALPHAG+W*ALPHAB
852       TC2=RW*ALPHAC*TA+RW*ALPHAG*TGP+W*ALPHAB*TBP
853       TC=TC2/TC1
854
855       QC1=RW*ALPHAC+RW*ALPHAG*BETG+W*ALPHAB*BETB
856       QC2=RW*ALPHAC*QA+RW*ALPHAG*BETG*QS0G+W*ALPHAB*BETB*QS0B
857       QC=QC2/QC1
858
859       TCP=TC
860       QCP=QC
861
862   END IF
863
864   FLXTHB=HB/RHO/CP/100.
865   FLXHUMB=ELEB/RHO/EL/100.
866   FLXTHG=HG/RHO/CP/100.
867   FLXHUMG=ELEG/RHO/EL/100.
868
869!-------------------------------------------------------------------------------
870! Total Fulxes from Urban Canopy
871!-------------------------------------------------------------------------------
872
873   FLXUV  = ( R*CDR + RW*CDC )*UA*UA
874   FLXTH  = ( R*FLXTHR  + W*FLXTHB  + RW*FLXTHG )
875   FLXHUM = ( R*FLXHUMR + W*FLXHUMB + RW*FLXHUMG )
876   FLXG =   ( R*G0R + W*G0B + RW*G0G )
877   LNET =     R*RR + W*RB + RW*RG
878
879!----------------------------------------------------------------------------
880! Convert Unit: FLUXES and u* T* q*  --> WRF
881!----------------------------------------------------------------------------
882
883   SH    = FLXTH  * RHOO * CPP    ! Sensible heat flux          [W/m/m]
884   LH    = FLXHUM * RHOO * ELL    ! Latent heat flux            [W/m/m]
885   LH_KINEMATIC = FLXHUM * RHOO   ! Latent heat, Kinematic      [kg/m/m/s]
886   LW    = LLG - (LNET*697.7*60.) ! Upward longwave radiation   [W/m/m]
887   SW    = SSG - (SNET*697.7*60.) ! Upward shortwave radiation  [W/m/m]
888   ALB   = 0.
889   IF( ABS(SSG) > 0.0001) ALB = SW/SSG ! Effective albedo [-]
890   G = -FLXG*697.7*60.            ! [W/m/m]
891   RN = (SNET+LNET)*697.7*60.     ! Net radiation [W/m/m]
892
893   UST = SQRT(FLXUV)              ! u* [m/s]
894   TST = -FLXTH/UST               ! T* [K]
895   QST = -FLXHUM/UST              ! q* [-]
896
897!------------------------------------------------------
898!  diagnostic GRID AVERAGED  PSIM  PSIH  TS QS --> WRF
899!------------------------------------------------------
900
901   Z0 = Z0C
902   Z0H = Z0HC
903   Z = ZA - ZDC
904
905   XXX = 0.4*9.81*Z*TST/TA/UST/UST
906
907   IF ( XXX >= 1. ) XXX = 1.
908   IF ( XXX <= -5. ) XXX = -5.
909
910   IF ( XXX > 0 ) THEN
911     PSIM = -5. * XXX
912     PSIH = -5. * XXX
913   ELSE
914     X = (1.-16.*XXX)**0.25
915     PSIM = 2.*ALOG((1.+X)/2.) + ALOG((1.+X*X)/2.) - 2.*ATAN(X) + PI/2.
916     PSIH = 2.*ALOG((1.+X*X)/2.)
917   END IF
918
919   GZ1OZ0 = ALOG(Z/Z0)
920   CD = 0.4**2./(ALOG(Z/Z0)-PSIM)**2.
921!
922!m   CH = 0.4**2./(ALOG(Z/Z0)-PSIM)/(ALOG(Z/Z0H)-PSIH)
923!m   CHS = 0.4*UST/(ALOG(Z/Z0H)-PSIH)
924!m   TS = TA + FLXTH/CH/UA    ! surface potential temp (flux temp)
925!m   QS = QA + FLXHUM/CH/UA   ! surface humidity
926!
927   TS = TA + FLXTH/CHS    ! surface potential temp (flux temp)
928   QS = QA + FLXHUM/CHS   ! surface humidity
929
930!-------------------------------------------------------
931!  diagnostic  GRID AVERAGED  U10  V10  TH2  Q2 --> WRF
932!-------------------------------------------------------
933
934   XXX2 = (2./Z)*XXX
935   IF ( XXX2 >= 1. ) XXX2 = 1.
936   IF ( XXX2 <= -5. ) XXX2 = -5.
937
938   IF ( XXX2 > 0 ) THEN
939      PSIM2 = -5. * XXX2
940      PSIH2 = -5. * XXX2
941   ELSE
942      X = (1.-16.*XXX2)**0.25
943      PSIM2 = 2.*ALOG((1.+X)/2.) + ALOG((1.+X*X)/2.) - 2.*ATAN(X) + 2.*ATAN(1.)
944      PSIH2 = 2.*ALOG((1.+X*X)/2.)
945   END IF
946!
947!m   CHS2 = 0.4*UST/(ALOG(2./Z0H)-PSIH2)
948!
949
950   XXX10 = (10./Z)*XXX
951   IF ( XXX10 >= 1. ) XXX10 = 1.
952   IF ( XXX10 <= -5. ) XXX10 = -5.
953
954   IF ( XXX10 > 0 ) THEN
955      PSIM10 = -5. * XXX10
956      PSIH10 = -5. * XXX10
957   ELSE
958      X = (1.-16.*XXX10)**0.25
959      PSIM10 = 2.*ALOG((1.+X)/2.) + ALOG((1.+X*X)/2.) - 2.*ATAN(X) + 2.*ATAN(1.)
960      PSIH10 = 2.*ALOG((1.+X*X)/2.)
961   END IF
962
963   PSIX = ALOG(Z/Z0) - PSIM
964   PSIT = ALOG(Z/Z0H) - PSIH
965
966   PSIX2 = ALOG(2./Z0) - PSIM2
967   PSIT2 = ALOG(2./Z0H) - PSIH2
968
969   PSIX10 = ALOG(10./Z0) - PSIM10
970   PSIT10 = ALOG(10./Z0H) - PSIH10
971
972   U10 = U1 * (PSIX10/PSIX)       ! u at 10 m [m/s]
973   V10 = V1 * (PSIX10/PSIX)       ! v at 10 m [m/s]
974
975!   TH2 = TS + (TA-TS)*(PSIT2/PSIT)   ! potential temp at 2 m [K]
976!  TH2 = TS + (TA-TS)*(PSIT2/PSIT)   ! Fei: this seems to be temp (not potential) at 2 m [K]
977!Fei: consistant with M-O theory
978   TH2 = TS + (TA-TS) *(CHS/CHS2)
979
980   Q2 = QS + (QA-QS)*(PSIT2/PSIT)    ! humidity at 2 m       [-]
981
982!   TS = (LW/SIG_SI/0.88)**0.25       ! Radiative temperature [K]
983
984   RETURN
985
986   END SUBROUTINE urban
987!===============================================================================
988!
989!  mos
990!
991!===============================================================================
992   SUBROUTINE mos(XXX,ALPHA,CD,B1,RIB,Z,Z0,UA,TA,TSF,RHO)
993
994!  XXX:   z/L (requires iteration by Newton-Rapson method)
995!  B1:    Stanton number
996!  PSIM:  = PSIX of LSM
997!  PSIH:  = PSIT of LSM
998
999   IMPLICIT NONE
1000
1001   REAL, PARAMETER     :: CP=0.24
1002   REAL, INTENT(IN)    :: B1, Z, Z0, UA, TA, TSF, RHO
1003   REAL, INTENT(OUT)   :: ALPHA, CD
1004   REAL, INTENT(INOUT) :: XXX, RIB
1005   REAL                :: XXX0, X, X0, FAIH, DPSIM, DPSIH
1006   REAL                :: F, DF, XXXP, US, TS, AL, XKB, DD, PSIM, PSIH
1007   INTEGER             :: NEWT
1008   INTEGER, PARAMETER  :: NEWT_END=10
1009
1010   IF(RIB <= -15.) RIB=-15.
1011
1012   IF(RIB < 0.) THEN
1013
1014      DO NEWT=1,NEWT_END
1015
1016        IF(XXX >= 0.) XXX=-1.E-3
1017
1018        XXX0=XXX*Z0/(Z+Z0)
1019
1020        X=(1.-16.*XXX)**0.25
1021        X0=(1.-16.*XXX0)**0.25
1022
1023        PSIM=ALOG((Z+Z0)/Z0) &
1024            -ALOG((X+1.)**2.*(X**2.+1.)) &
1025            +2.*ATAN(X) &
1026            +ALOG((X+1.)**2.*(X0**2.+1.)) &
1027            -2.*ATAN(X0)
1028        FAIH=1./SQRT(1.-16.*XXX)
1029        PSIH=ALOG((Z+Z0)/Z0)+0.4*B1 &
1030            -2.*ALOG(SQRT(1.-16.*XXX)+1.) &
1031            +2.*ALOG(SQRT(1.-16.*XXX0)+1.)
1032
1033        DPSIM=(1.-16.*XXX)**(-0.25)/XXX &
1034             -(1.-16.*XXX0)**(-0.25)/XXX
1035        DPSIH=1./SQRT(1.-16.*XXX)/XXX &
1036             -1./SQRT(1.-16.*XXX0)/XXX
1037
1038        F=RIB*PSIM**2./PSIH-XXX
1039
1040        DF=RIB*(2.*DPSIM*PSIM*PSIH-DPSIH*PSIM**2.) &
1041          /PSIH**2.-1.
1042
1043        XXXP=XXX
1044        XXX=XXXP-F/DF
1045        IF(XXX <= -10.) XXX=-10.
1046
1047      END DO
1048
1049   ELSE IF(RIB >= 0.142857) THEN
1050
1051      XXX=0.714
1052      PSIM=ALOG((Z+Z0)/Z0)+7.*XXX
1053      PSIH=PSIM+0.4*B1
1054
1055   ELSE
1056
1057      AL=ALOG((Z+Z0)/Z0)
1058      XKB=0.4*B1
1059      DD=-4.*RIB*7.*XKB*AL+(AL+XKB)**2.
1060      IF(DD <= 0.) DD=0.
1061      XXX=(AL+XKB-2.*RIB*7.*AL-SQRT(DD))/(2.*(RIB*7.**2-7.))
1062      PSIM=ALOG((Z+Z0)/Z0)+7.*MIN(XXX,0.714)
1063      PSIH=PSIM+0.4*B1
1064
1065   END IF
1066
1067   US=0.4*UA/PSIM             ! u*
1068   IF(US <= 0.01) US=0.01
1069   TS=0.4*(TA-TSF)/PSIH       ! T*
1070
1071   CD=US*US/UA**2.            ! CD
1072   ALPHA=RHO*CP*0.4*US/PSIH   ! RHO*CP*CH*U
1073
1074   RETURN
1075   END SUBROUTINE mos
1076!===============================================================================
1077!
1078!  louis79
1079!
1080!===============================================================================
1081   SUBROUTINE louis79(ALPHA,CD,RIB,Z,Z0,UA,RHO)
1082
1083   IMPLICIT NONE
1084
1085   REAL, PARAMETER     :: CP=0.24
1086   REAL, INTENT(IN)    :: Z, Z0, UA, RHO
1087   REAL, INTENT(OUT)   :: ALPHA, CD
1088   REAL, INTENT(INOUT) :: RIB
1089   REAL                :: A2, XX, CH, CMB, CHB
1090
1091   A2=(0.4/ALOG(Z/Z0))**2.
1092
1093   IF(RIB <= -15.) RIB=-15.
1094
1095   IF(RIB >= 0.0) THEN
1096      IF(RIB >= 0.142857) THEN
1097         XX=0.714
1098      ELSE
1099         XX=RIB*LOG(Z/Z0)/(1.-7.*RIB)
1100      END IF
1101      CH=0.16/0.74/(LOG(Z/Z0)+7.*MIN(XX,0.714))**2.
1102      CD=0.16/(LOG(Z/Z0)+7.*MIN(XX,0.714))**2.
1103   ELSE
1104      CMB=7.4*A2*9.4*SQRT(Z/Z0)
1105      CHB=5.3*A2*9.4*SQRT(Z/Z0)
1106      CH=A2/0.74*(1.-9.4*RIB/(1.+CHB*SQRT(-RIB)))
1107      CD=A2*(1.-9.4*RIB/(1.+CHB*SQRT(-RIB)))
1108   END IF
1109
1110   ALPHA=RHO*CP*CH*UA
1111
1112   RETURN
1113   END SUBROUTINE louis79
1114!===============================================================================
1115!
1116!  louis82
1117!
1118!===============================================================================
1119   SUBROUTINE louis82(ALPHA,CD,RIB,Z,Z0,UA,RHO)
1120
1121   IMPLICIT NONE
1122
1123   REAL, PARAMETER     :: CP=0.24
1124   REAL, INTENT(IN)    :: Z, Z0, UA, RHO
1125   REAL, INTENT(OUT)   :: ALPHA, CD
1126   REAL, INTENT(INOUT) :: RIB
1127   REAL                :: A2, FM, FH, CH, CHH
1128
1129   A2=(0.4/ALOG(Z/Z0))**2.
1130
1131   IF(RIB <= -15.) RIB=-15.
1132
1133   IF(RIB >= 0.0) THEN
1134      FM=1./((1.+(2.*5.*RIB)/SQRT(1.+5.*RIB)))
1135      FH=1./(1.+(3.*5.*RIB)*SQRT(1.+5.*RIB))
1136      CH=A2*FH
1137      CD=A2*FM
1138   ELSE
1139      CHH=5.*3.*5.*A2*SQRT(Z/Z0)
1140      FM=1.-(2.*5.*RIB)/(1.+3.*5.*5.*A2*SQRT(Z/Z0+1.)*(-RIB))
1141      FH=1.-(3.*5.*RIB)/(1.+CHH*SQRT(-RIB))
1142      CH=A2*FH
1143      CD=A2*FM
1144   END IF
1145
1146   ALPHA=RHO*CP*CH*UA
1147
1148   RETURN
1149   END SUBROUTINE louis82
1150!===============================================================================
1151!
1152!  multi_layer
1153!
1154!===============================================================================
1155   SUBROUTINE multi_layer(KM,BOUND,G0,CAP,AKS,TSL,DZ,DELT,TSLEND)
1156
1157   IMPLICIT NONE
1158
1159   REAL, INTENT(IN)                   :: G0, CAP, AKS, DELT,TSLEND
1160
1161   INTEGER, INTENT(IN)                :: KM, BOUND
1162
1163   REAL, DIMENSION(KM), INTENT(IN)    :: DZ
1164
1165   REAL, DIMENSION(KM), INTENT(INOUT) :: TSL
1166
1167   REAL, DIMENSION(KM)                :: A, B, C, D, X, P, Q
1168
1169   REAL                               :: DZEND
1170
1171   INTEGER                            :: K
1172
1173   DZEND=DZ(KM)
1174
1175   A(1) = 0.0
1176
1177   B(1) = CAP*DZ(1)/DELT &
1178          +2.*AKS/(DZ(1)+DZ(2))
1179   C(1) = -2.*AKS/(DZ(1)+DZ(2))
1180   D(1) = CAP*DZ(1)/DELT*TSL(1) + G0
1181
1182   DO K=2,KM-1
1183      A(K) = -2.*AKS/(DZ(K-1)+DZ(K))
1184      B(K) = CAP*DZ(K)/DELT + 2.*AKS/(DZ(K-1)+DZ(K)) + 2.*AKS/(DZ(K)+DZ(K+1))
1185      C(K) = -2.*AKS/(DZ(K)+DZ(K+1))
1186      D(K) = CAP*DZ(K)/DELT*TSL(K)
1187   END DO
1188
1189   IF(BOUND == 1) THEN                  ! Flux=0
1190      A(KM) = -2.*AKS/(DZ(KM-1)+DZ(KM))
1191      B(KM) = CAP*DZ(KM)/DELT + 2.*AKS/(DZ(KM-1)+DZ(KM)) 
1192      C(KM) = 0.0
1193      D(KM) = CAP*DZ(KM)/DELT*TSL(KM)
1194   ELSE                                 ! T=constant
1195      A(KM) = -2.*AKS/(DZ(KM-1)+DZ(KM))
1196      B(KM) = CAP*DZ(KM)/DELT + 2.*AKS/(DZ(KM-1)+DZ(KM)) + 2.*AKS/(DZ(KM)+DZEND)
1197      C(KM) = 0.0
1198      D(KM) = CAP*DZ(KM)/DELT*TSL(KM) + 2.*AKS*TSLEND/(DZ(KM)+DZEND)
1199   END IF
1200
1201   P(1) = -C(1)/B(1)
1202   Q(1) =  D(1)/B(1)
1203
1204   DO K=2,KM
1205      P(K) = -C(K)/(A(K)*P(K-1)+B(K))
1206      Q(K) = (-A(K)*Q(K-1)+D(K))/(A(K)*P(K-1)+B(K))
1207   END DO
1208
1209   X(KM) = Q(KM)
1210
1211   DO K=KM-1,1,-1
1212      X(K) = P(K)*X(K+1)+Q(K)
1213   END DO
1214
1215   DO K=1,KM
1216      TSL(K) = X(K)
1217   END DO
1218
1219   RETURN
1220   END SUBROUTINE multi_layer
1221!===============================================================================
1222!
1223!  subroutine read_param
1224!
1225!===============================================================================
1226   SUBROUTINE read_param(UTYPE,                                        & ! in
1227                         ZR,Z0C,Z0HC,ZDC,SVF,R,RW,HGT,CDS,AS,AH,       & ! out
1228                         CAPR,CAPB,CAPG,AKSR,AKSB,AKSG,ALBR,ALBB,ALBG, & ! out
1229                         EPSR,EPSB,EPSG,Z0R,Z0B,Z0G,Z0HR,Z0HB,Z0HG,    & ! out
1230                         BETR,BETB,BETG,TRLEND,TBLEND,TGLEND,          & ! out
1231                         BOUNDR,BOUNDB,BOUNDG,CH_SCHEME,TS_SCHEME)       ! out
1232
1233   INTEGER, INTENT(IN)  :: UTYPE
1234
1235   REAL, INTENT(OUT)    :: ZR,Z0C,Z0HC,ZDC,SVF,R,RW,HGT,CDS,AS,AH,       &
1236                           CAPR,CAPB,CAPG,AKSR,AKSB,AKSG,ALBR,ALBB,ALBG, &
1237                           EPSR,EPSB,EPSG,Z0R,Z0B,Z0G,Z0HR,Z0HB,Z0HG,    &
1238                           BETR,BETB,BETG,TRLEND,TBLEND,TGLEND
1239
1240   INTEGER, INTENT(OUT) :: BOUNDR,BOUNDB,BOUNDG,CH_SCHEME,TS_SCHEME
1241
1242   ZR =     ZR_TBL(UTYPE)
1243   Z0C=     Z0C_TBL(UTYPE)
1244   Z0HC=    Z0HC_TBL(UTYPE)
1245   ZDC=     ZDC_TBL(UTYPE)
1246   SVF=     SVF_TBL(UTYPE)
1247   R=       R_TBL(UTYPE)
1248   RW=      RW_TBL(UTYPE)
1249   HGT=     HGT_TBL(UTYPE)
1250   CDS=     CDS_TBL(UTYPE)
1251   AS=      AS_TBL(UTYPE)
1252   AH=      AH_TBL(UTYPE)
1253   BETR=    BETR_TBL(UTYPE)
1254   BETB=    BETB_TBL(UTYPE)
1255   BETG=    BETG_TBL(UTYPE)
1256
1257!m   FRC_URB= FRC_URB_TBL(UTYPE)
1258
1259   CAPR=    CAPR_DATA
1260   CAPB=    CAPB_DATA
1261   CAPG=    CAPG_DATA
1262   AKSR=    AKSR_DATA
1263   AKSB=    AKSB_DATA
1264   AKSG=    AKSG_DATA
1265   ALBR=    ALBR_DATA
1266   ALBB=    ALBB_DATA
1267   ALBG=    ALBG_DATA
1268   EPSR=    EPSR_DATA
1269   EPSB=    EPSB_DATA
1270   EPSG=    EPSG_DATA
1271   Z0R=     Z0R_DATA
1272   Z0B=     Z0B_DATA
1273   Z0G=     Z0G_DATA
1274   Z0HR=    Z0HR_DATA
1275   Z0HB=    Z0HB_DATA
1276   Z0HG=    Z0HG_DATA
1277   TRLEND=  TRLEND_DATA
1278   TBLEND=  TBLEND_DATA
1279   TGLEND=  TGLEND_DATA
1280   BOUNDR=  BOUNDR_DATA
1281   BOUNDB=  BOUNDB_DATA
1282   BOUNDG=  BOUNDG_DATA
1283   CH_SCHEME = CH_SCHEME_DATA
1284   TS_SCHEME = TS_SCHEME_DATA
1285
1286   RETURN
1287   END SUBROUTINE read_param
1288!===============================================================================
1289!
1290! subroutine urban_param_init: Read parameters from urban_param.tbl
1291!
1292!===============================================================================
1293   SUBROUTINE urban_param_init(DZR,DZB,DZG,num_soil_layers &
1294                               )
1295!                              num_roof_layers,num_wall_layers,num_road_layers)
1296
1297   IMPLICIT NONE
1298
1299   INTEGER, INTENT(IN) :: num_soil_layers
1300
1301!   REAL, DIMENSION(1:num_roof_layers), INTENT(INOUT) :: DZR
1302!   REAL, DIMENSION(1:num_wall_layers), INTENT(INOUT) :: DZB
1303!   REAL, DIMENSION(1:num_road_layers), INTENT(INOUT) :: DZG
1304   REAL, DIMENSION(1:num_soil_layers), INTENT(INOUT) :: DZR
1305   REAL, DIMENSION(1:num_soil_layers), INTENT(INOUT) :: DZB
1306   REAL, DIMENSION(1:num_soil_layers), INTENT(INOUT) :: DZG
1307
1308   INTEGER :: INDEX, LC, K
1309   INTEGER :: IOSTATUS, ALLOCATE_STATUS
1310   INTEGER :: num_roof_layers
1311   INTEGER :: num_wall_layers
1312   INTEGER :: num_road_layers
1313   INTEGER :: dummy
1314   REAL    :: DHGT, HGT, VFWS, VFGS
1315
1316   OPEN (UNIT=11,                &
1317         FILE='urban_param.tbl', &
1318         ACCESS='SEQUENTIAL',    &
1319         STATUS='OLD',           &
1320         ACTION='READ',          &
1321         POSITION='REWIND',      &
1322         IOSTAT=IOSTATUS)
1323
1324   IF (IOSTATUS > 0) STOP 'ERROR OPEN urban_param.tbl'
1325
1326   READ(11,*)
1327   READ(11,'(A4)') LU_DATA_TYPE
1328
1329   READ(11,*) ICATE
1330   ALLOCATE( ZR_TBL(ICATE), stat=allocate_status )
1331   if(allocate_status == 0) THEN
1332   ALLOCATE( Z0C_TBL(ICATE), stat=allocate_status )
1333    if(allocate_status /= 0) stop 'error allocate Z0C_TBL in urban_param_init'
1334   IF( .NOT. ALLOCATED( Z0HC_TBL ) ) &
1335   ALLOCATE( Z0HC_TBL(ICATE), stat=allocate_status )
1336    if(allocate_status /= 0) stop 'error allocate Z0HC_TBL in urban_param_init'
1337   IF( .NOT. ALLOCATED( ZDC_TBL ) ) &
1338   ALLOCATE( ZDC_TBL(ICATE), stat=allocate_status )
1339    if(allocate_status /= 0) stop 'error allocate ZDC_TBL in urban_param_init'
1340   IF( .NOT. ALLOCATED( SVF_TBL ) ) &
1341   ALLOCATE( SVF_TBL(ICATE), stat=allocate_status )
1342    if(allocate_status /= 0) stop 'error allocate SVF_TBL in urban_param_init'
1343   IF( .NOT. ALLOCATED( R_TBL ) ) &
1344   ALLOCATE( R_TBL(ICATE), stat=allocate_status )
1345    if(allocate_status /= 0) stop 'error allocate R_TBL in urban_param_init'
1346   IF( .NOT. ALLOCATED( RW_TBL ) ) &
1347   ALLOCATE( RW_TBL(ICATE), stat=allocate_status )
1348    if(allocate_status /= 0) stop 'error allocate RW_TBL in urban_param_init'
1349   IF( .NOT. ALLOCATED( HGT_TBL ) ) &
1350   ALLOCATE( HGT_TBL(ICATE), stat=allocate_status )
1351    if(allocate_status /= 0) stop 'error allocate HGT_TBL in urban_param_init'
1352   IF( .NOT. ALLOCATED( CDS_TBL ) ) &
1353   ALLOCATE( CDS_TBL(ICATE), stat=allocate_status )
1354    if(allocate_status /= 0) stop 'error allocate CDS_TBL in urban_param_init'
1355   IF( .NOT. ALLOCATED( AS_TBL ) ) &
1356   ALLOCATE( AS_TBL(ICATE), stat=allocate_status )
1357    if(allocate_status /= 0) stop 'error allocate AS_TBL in urban_param_init'
1358   IF( .NOT. ALLOCATED( AH_TBL ) ) &
1359   ALLOCATE( AH_TBL(ICATE), stat=allocate_status )
1360    if(allocate_status /= 0) stop 'error allocate AH_TBL in urban_param_init'
1361   IF( .NOT. ALLOCATED( BETR_TBL ) ) &
1362   ALLOCATE( BETR_TBL(ICATE), stat=allocate_status )
1363    if(allocate_status /= 0) stop 'error allocate BETR_TBL in urban_param_init'
1364   IF( .NOT. ALLOCATED( BETB_TBL ) ) &
1365   ALLOCATE( BETB_TBL(ICATE), stat=allocate_status )
1366    if(allocate_status /= 0) stop 'error allocate BETB_TBL in urban_param_init'
1367   IF( .NOT. ALLOCATED( BETG_TBL ) ) &
1368   ALLOCATE( BETG_TBL(ICATE), stat=allocate_status )
1369    if(allocate_status /= 0) stop 'error allocate BETG_TBL in urban_param_init'
1370   ALLOCATE( FRC_URB_TBL(ICATE), stat=allocate_status )
1371    if(allocate_status /= 0) stop 'error allocate FRC_URB_TBL in urban_param_init'
1372
1373ENDIF
1374
1375   DO LC = 1, ICATE
1376      READ(11,*) INDEX,        &
1377                 ZR_TBL(LC),   &
1378                 Z0C_TBL(LC),  &
1379                 Z0HC_TBL(LC), &
1380                 ZDC_TBL(LC),  &
1381                 SVF_TBL(LC),  &
1382                 R_TBL(LC),    &
1383                 RW_TBL(LC),   &
1384                 HGT_TBL(LC),  &
1385                 CDS_TBL(LC),  &
1386                 AS_TBL(LC),   &
1387                 AH_TBL(LC),   &
1388                 BETR_TBL(LC), &
1389                 BETB_TBL(LC), &
1390                 BETG_TBL(LC), &
1391                 FRC_URB_TBL(LC) 
1392   END DO
1393
1394   READ(11,*)
1395   READ(11,*) CAPR_DATA
1396   READ(11,*)
1397   READ(11,*) CAPB_DATA
1398   READ(11,*)
1399   READ(11,*) CAPG_DATA
1400   READ(11,*)
1401   READ(11,*) AKSR_DATA
1402   READ(11,*)
1403   READ(11,*) AKSB_DATA
1404   READ(11,*)
1405   READ(11,*) AKSG_DATA
1406   READ(11,*)
1407   READ(11,*) ALBR_DATA
1408   READ(11,*)
1409   READ(11,*) ALBB_DATA
1410   READ(11,*)
1411   READ(11,*) ALBG_DATA
1412   READ(11,*)
1413   READ(11,*) EPSR_DATA
1414   READ(11,*)
1415   READ(11,*) EPSB_DATA
1416   READ(11,*)
1417   READ(11,*) EPSG_DATA
1418   READ(11,*)
1419   READ(11,*) Z0R_DATA
1420   READ(11,*)
1421   READ(11,*) Z0B_DATA
1422   READ(11,*)
1423   READ(11,*) Z0G_DATA
1424   READ(11,*)
1425   READ(11,*) Z0HR_DATA
1426   READ(11,*)
1427   READ(11,*) Z0HB_DATA
1428   READ(11,*)
1429   READ(11,*) Z0HG_DATA
1430   READ(11,*)
1431!   READ(11,*) num_roof_layers
1432   READ(11,*) dummy
1433   READ(11,*)
1434!   READ(11,*) num_wall_layers
1435   READ(11,*) dummy
1436   READ(11,*)
1437!   READ(11,*) num_road_layers
1438   READ(11,*) dummy
1439
1440   num_roof_layers = num_soil_layers
1441   num_wall_layers = num_soil_layers
1442   num_road_layers = num_soil_layers
1443
1444   DO K=1,num_roof_layers
1445      READ(11,*)
1446      READ(11,*) DZR(K)
1447   END DO
1448
1449   DO K=1,num_wall_layers
1450      READ(11,*)
1451      READ(11,*) DZB(K)
1452   END DO
1453
1454   DO K=1,num_road_layers
1455      READ(11,*)
1456      READ(11,*) DZG(K)
1457   END DO
1458
1459   READ(11,*)
1460   READ(11,*) BOUNDR_DATA
1461   READ(11,*)
1462   READ(11,*) BOUNDB_DATA
1463   READ(11,*)
1464   READ(11,*) BOUNDG_DATA
1465   READ(11,*)
1466   READ(11,*) TRLEND_DATA
1467   READ(11,*)
1468   READ(11,*) TBLEND_DATA
1469   READ(11,*)
1470   READ(11,*) TGLEND_DATA
1471   READ(11,*)
1472   READ(11,*) CH_SCHEME_DATA
1473   READ(11,*)
1474   READ(11,*) TS_SCHEME_DATA
1475
1476   CLOSE(11)
1477
1478! Calculate Sky View Factor
1479
1480   DO LC = 1, ICATE
1481      DHGT=HGT_TBL(LC)/100.
1482      HGT=0.
1483      VFWS=0.
1484      HGT=HGT_TBL(LC)-DHGT/2.
1485      do k=1,99
1486         HGT=HGT-DHGT
1487         VFWS=VFWS+0.25*(1.-HGT/SQRT(HGT**2.+RW_TBL(LC)**2.))
1488      end do
1489
1490     VFWS=VFWS/99.
1491     VFWS=VFWS*2.
1492
1493     VFGS=1.-2.*VFWS*HGT_TBL(LC)/RW_TBL(LC)
1494     SVF_TBL(LC)=VFGS
1495   END DO
1496
1497   END SUBROUTINE urban_param_init
1498!===========================================================================
1499!
1500! subroutine urban_var_init: initialization of urban state variables
1501!
1502!===========================================================================
1503   SUBROUTINE urban_var_init(TSURFACE0_URB,TLAYER0_URB,TDEEP0_URB,IVGTYP,     & ! in
1504                             ims,ime,jms,jme,num_soil_layers,                 & ! in
1505!                             num_roof_layers,num_wall_layers,num_road_layers, & ! in
1506                             XXXR_URB2D,XXXB_URB2D,XXXG_URB2D,XXXC_URB2D,  & ! inout
1507                             TR_URB2D,TB_URB2D,TG_URB2D,TC_URB2D,QC_URB2D, & ! inout
1508                             TRL_URB3D,TBL_URB3D,TGL_URB3D,                & ! inout
1509                             SH_URB2D,LH_URB2D,G_URB2D,RN_URB2D,           & ! inout
1510                             TS_URB2D, FRC_URB2D, UTYPE_URB2D)               ! inout
1511   IMPLICIT NONE
1512
1513   INTEGER, INTENT(IN) :: ims,ime,jms,jme,num_soil_layers
1514!   INTEGER, INTENT(IN) :: num_roof_layers, num_wall_layers, num_road_layers
1515
1516   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(IN)                    :: TSURFACE0_URB
1517   REAL, DIMENSION( ims:ime, 1:num_soil_layers, jms:jme ), INTENT(IN) :: TLAYER0_URB
1518   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(IN)                    :: TDEEP0_URB
1519   INTEGER, DIMENSION( ims:ime, jms:jme ), INTENT(IN)                 :: IVGTYP
1520 
1521   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: TR_URB2D
1522   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: TB_URB2D
1523   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: TG_URB2D
1524   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: TC_URB2D
1525   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: QC_URB2D
1526   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: XXXR_URB2D
1527   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: XXXB_URB2D
1528   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: XXXG_URB2D
1529   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: XXXC_URB2D
1530
1531!   REAL, DIMENSION(ims:ime, 1:num_roof_layers, jms:jme), INTENT(INOUT) :: TRL_URB3D
1532!   REAL, DIMENSION(ims:ime, 1:num_wall_layers, jms:jme), INTENT(INOUT) :: TBL_URB3D
1533!   REAL, DIMENSION(ims:ime, 1:num_road_layers, jms:jme), INTENT(INOUT) :: TGL_URB3D
1534   REAL, DIMENSION(ims:ime, 1:num_soil_layers, jms:jme), INTENT(INOUT) :: TRL_URB3D
1535   REAL, DIMENSION(ims:ime, 1:num_soil_layers, jms:jme), INTENT(INOUT) :: TBL_URB3D
1536   REAL, DIMENSION(ims:ime, 1:num_soil_layers, jms:jme), INTENT(INOUT) :: TGL_URB3D
1537
1538   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: SH_URB2D
1539   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: LH_URB2D
1540   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: G_URB2D
1541   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: RN_URB2D
1542   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: TS_URB2D
1543!
1544   REAL, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: FRC_URB2D
1545   INTEGER, DIMENSION( ims:ime, jms:jme ), INTENT(INOUT) :: UTYPE_URB2D
1546   INTEGER                                            :: UTYPE_URB
1547
1548   INTEGER :: I,J,K
1549
1550   DO I=ims,ime
1551    DO J=jms,jme
1552
1553      XXXR_URB2D(I,J)=0.
1554      XXXB_URB2D(I,J)=0.
1555      XXXG_URB2D(I,J)=0.
1556      XXXC_URB2D(I,J)=0.
1557
1558      SH_URB2D(I,J)=0.
1559      LH_URB2D(I,J)=0.
1560      G_URB2D(I,J)=0.
1561      RN_URB2D(I,J)=0.
1562!m
1563      FRC_URB2D(I,J)=0.
1564      UTYPE_URB2D(I,J)=0.
1565
1566            IF( IVGTYP(I,J) == 1)  THEN
1567               UTYPE_URB2D(I,J) = 2  ! for default. high-density
1568               UTYPE_URB = UTYPE_URB2D(I,J)  ! for default. high-density
1569               FRC_URB2D(I,J) = FRC_URB_TBL(UTYPE_URB)
1570            ENDIF
1571            IF( IVGTYP(I,J) == 31) THEN
1572               UTYPE_URB2D(I,J) = 3  ! low-density residential
1573               UTYPE_URB = UTYPE_URB2D(I,J)  ! low-density residential
1574               FRC_URB2D(I,J) = FRC_URB_TBL(UTYPE_URB)
1575            ENDIF
1576            IF( IVGTYP(I,J) == 32) THEN
1577               UTYPE_URB2D(I,J) = 2  ! high-density
1578               UTYPE_URB = UTYPE_URB2D(I,J)  ! high-density
1579               FRC_URB2D(I,J) = FRC_URB_TBL(UTYPE_URB)
1580            ENDIF
1581            IF( IVGTYP(I,J) == 33) THEN
1582               UTYPE_URB2D(I,J) = 1  !  Commercial/Industrial/Transportation
1583               UTYPE_URB = UTYPE_URB2D(I,J)  !  Commercial/Industrial/Transportation
1584               FRC_URB2D(I,J) = FRC_URB_TBL(UTYPE_URB)
1585            ENDIF
1586
1587
1588      QC_URB2D(I,J)=0.01
1589
1590      TC_URB2D(I,J)=TSURFACE0_URB(I,J)+0.
1591      TR_URB2D(I,J)=TSURFACE0_URB(I,J)+0.
1592      TB_URB2D(I,J)=TSURFACE0_URB(I,J)+0.
1593      TG_URB2D(I,J)=TSURFACE0_URB(I,J)+0.
1594!
1595      TS_URB2D(I,J)=TSURFACE0_URB(I,J)+0.
1596
1597!      DO K=1,num_roof_layers
1598!     DO K=1,num_soil_layers
1599!         TRL_URB3D(I,1,J)=TLAYER0_URB(I,1,J)+0.
1600!         TRL_URB3D(I,2,J)=TLAYER0_URB(I,2,J)+0.
1601!         TRL_URB3D(I,3,J)=TLAYER0_URB(I,3,J)+0.
1602!         TRL_URB3D(I,4,J)=TLAYER0_URB(I,4,J)+0.
1603
1604          TRL_URB3D(I,1,J)=TLAYER0_URB(I,1,J)+0.
1605          TRL_URB3D(I,2,J)=0.5*(TLAYER0_URB(I,1,J)+TLAYER0_URB(I,2,J))
1606          TRL_URB3D(I,3,J)=TLAYER0_URB(I,2,J)+0.
1607          TRL_URB3D(I,4,J)=TLAYER0_URB(I,2,J)+(TLAYER0_URB(I,3,J)-TLAYER0_URB(I,2,J))*0.29
1608!     END DO
1609
1610!      DO K=1,num_wall_layers
1611!      DO K=1,num_soil_layers
1612!m        TBL_URB3D(I,1,J)=TLAYER0_URB(I,1,J)+0.
1613!m        TBL_URB3D(I,2,J)=TLAYER0_URB(I,2,J)+0.
1614!m        TBL_URB3D(I,3,J)=TLAYER0_URB(I,3,J)+0.
1615!m        TBL_URB3D(I,4,J)=TLAYER0_URB(I,4,J)+0.
1616
1617        TBL_URB3D(I,1,J)=TLAYER0_URB(I,1,J)+0.
1618        TBL_URB3D(I,2,J)=0.5*(TLAYER0_URB(I,1,J)+TLAYER0_URB(I,2,J))
1619        TBL_URB3D(I,3,J)=TLAYER0_URB(I,2,J)+0.
1620        TBL_URB3D(I,4,J)=TLAYER0_URB(I,2,J)+(TLAYER0_URB(I,3,J)-TLAYER0_URB(I,2,J))*0.29
1621!      END DO
1622
1623!      DO K=1,num_road_layers
1624      DO K=1,num_soil_layers
1625        TGL_URB3D(I,K,J)=TLAYER0_URB(I,K,J)+0.
1626      END DO
1627
1628    END DO
1629   END DO
1630
1631   RETURN
1632   END SUBROUTINE urban_var_init
1633!===========================================================================
1634!
1635!  force_restore
1636!
1637!===========================================================================
1638   SUBROUTINE force_restore(CAP,AKS,DELT,S,R,H,LE,TSLEND,TSP,TS)
1639
1640     REAL, INTENT(IN)  :: CAP,AKS,DELT,S,R,H,LE,TSLEND,TSP
1641     REAL, INTENT(OUT) :: TS
1642     REAL              :: C1,C2
1643
1644     C2=24.*3600./2./3.14159
1645     C1=SQRT(0.5*C2*CAP*AKS)
1646
1647     TS = TSP + DELT*( (S+R-H-LE)/C1 -(TSP-TSLEND)/C2 )
1648
1649   END SUBROUTINE force_restore
1650!===========================================================================
1651!
1652!  bisection (not used)
1653!
1654!==============================================================================
1655   SUBROUTINE bisection(TSP,PS,S,EPS,RX,SIG,RHO,CP,CH,UA,QA,TA,EL,BET,AKS,TSL,DZ,TS)
1656
1657     REAL, INTENT(IN) :: TSP,PS,S,EPS,RX,SIG,RHO,CP,CH,UA,QA,TA,EL,BET,AKS,TSL,DZ
1658     REAL, INTENT(OUT) :: TS
1659     REAL :: ES,QS0,R,H,ELE,G0,F1,F
1660
1661     TS1 = TSP - 5.
1662     TS2 = TSP + 5.
1663
1664     DO ITERATION = 1,22
1665
1666       ES=6.11*EXP( (2.5*10.**6./461.51)*(TS1-273.15)/(273.15*TS1) )
1667       QS0=0.622*ES/(PS-0.378*ES)
1668       R=EPS*(RX-SIG*(TS1**4.)/60.)
1669       H=RHO*CP*CH*UA*(TS1-TA)*100.
1670       ELE=RHO*EL*CH*UA*BET*(QS0-QA)*100.
1671       G0=AKS*(TS1-TSL)/(DZ/2.)
1672       F1= S + R - H - ELE - G0
1673
1674       TS=0.5*(TS1+TS2)
1675
1676       ES=6.11*EXP( (2.5*10.**6./461.51)*(TS-273.15)/(273.15*TS) )
1677       QS0=0.622*ES/(PS-0.378*ES)
1678       R=EPS*(RX-SIG*(TS**4.)/60.)
1679       H=RHO*CP*CH*UA*(TS-TA)*100.
1680       ELE=RHO*EL*CH*UA*BET*(QS0-QA)*100.
1681       G0=AKS*(TS-TSL)/(DZ/2.)
1682       F = S + R - H - ELE - G0
1683
1684       IF (F1*F > 0.0) THEN
1685         TS1=TS
1686        ELSE
1687         TS2=TS
1688       END IF
1689
1690     END DO
1691
1692     RETURN
1693END SUBROUTINE bisection
1694!===========================================================================
1695END MODULE module_sf_urban
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