source: trunk/LMDZ.MARS/libf/phymars/nonoro_gwd_ran_mod.F90 @ 3026

Last change on this file since 3026 was 2934, checked in by emillour, 21 months ago

Mars PCM:
A first step in cleaning up outputs and adding field definitions for XIOS.
EM

File size: 25.5 KB
Line 
1MODULE nonoro_gwd_ran_mod
2
3IMPLICIT NONE
4
5REAL,allocatable,save :: du_nonoro_gwd(:,:) ! Zonal wind tendency due to GWD
6REAL,allocatable,save :: dv_nonoro_gwd(:,:) ! Meridional wind tendency due to GWD
7REAL,ALLOCATABLE,SAVE :: east_gwstress(:,:) ! Profile of eastward stress
8REAL,ALLOCATABLE,SAVE :: west_gwstress(:,:) ! Profile of westward stress
9
10!$OMP THREADPRIVATE(du_nonoro_gwd,dv_nonoro_gwd,east_gwstress,west_gwstress)
11
12CONTAINS
13
14      SUBROUTINE NONORO_GWD_RAN(ngrid,nlayer,DTIME, cpnew, rnew, pp,  &
15                  zmax_therm, pt, pu, pv, pdt, pdu, pdv, &
16                  zustr,zvstr,d_t, d_u, d_v)
17
18    !--------------------------------------------------------------------------------
19    ! Parametrization of the momentum flux deposition due to a discrete
20    ! number of gravity waves.
21    ! F. Lott
22    ! Version 14, Gaussian distribution of the source
23    ! LMDz model online version     
24    ! ADAPTED FOR VENUS /  F. LOTT + S. LEBONNOIS
25    ! Version adapted on 03/04/2013:
26    !      - input flux compensated in the deepest layers
27    !                           
28    ! ADAPTED FOR MARS     G.GILLI     02/2016
29    !        Revision with F.Forget    06/2016  Variable EP-flux according to
30    !                                           PBL variation (max velocity thermals)
31    ! UPDATED              D.BARDET    01/2020  - reproductibility of the
32    !                                           launching altitude calculation
33    !                                           - wave characteristic
34    !                                           calculation using MOD
35    !                                           - adding east_gwstress and
36    !                                           west_gwstress variables
37    ! UPDATED              J.LIU       12/2021  The rho (density) at the specific
38    !                                           locations is introduced. The equation
39    !                                           of EP-flux is corrected by adding the
40    !                                           term of density at launch (source)
41    !                                           altitude.
42    ! 
43    !---------------------------------------------------------------------------------
44
45      use comcstfi_h, only: g, pi, r
46      USE ioipsl_getin_p_mod, ONLY : getin_p
47      use vertical_layers_mod, only : presnivs
48      use geometry_mod, only: cell_area
49      use write_output_mod, only: write_output
50#ifdef CPP_XIOS
51     use xios_output_mod, only: send_xios_field
52#endif     
53     
54      implicit none
55      include "callkeys.h"
56
57      CHARACTER (LEN=20) :: modname='nonoro_gwd_ran'
58      CHARACTER (LEN=80) :: abort_message
59
60
61    ! 0. DECLARATIONS:
62
63    ! 0.1 INPUTS
64    INTEGER, intent(in):: ngrid          ! number of atmospheric columns
65    INTEGER, intent(in):: nlayer         ! number of atmospheric layers
66    REAL, intent(in):: DTIME             ! Time step of the Physics(s)
67    REAL, intent(in):: zmax_therm(ngrid) ! Altitude of max velocity thermals (m)
68    REAL,INTENT(IN) :: cpnew(ngrid,nlayer)! Cp of the atmosphere
69    REAL,INTENT(IN) :: rnew(ngrid,nlayer) ! R of the atmosphere
70    REAL, intent(in):: pp(ngrid,nlayer)  ! Pressure at full levels(Pa)
71    REAL, intent(in):: pt(ngrid,nlayer)  ! Temp at full levels(K)
72    REAL, intent(in):: pu(ngrid,nlayer)  ! Zonal wind at full levels(m/s)
73    REAL, intent(in):: pv(ngrid,nlayer)  ! Meridional winds at full levels(m/s)
74    REAL,INTENT(in) :: pdt(ngrid,nlayer) ! Tendency on temperature (K/s)
75    REAL,INTENT(in) :: pdu(ngrid,nlayer) ! Tendency on zonal wind (m/s/s)
76    REAL,INTENT(in) :: pdv(ngrid,nlayer) ! Tendency on meridional wind (m/s/s)
77
78    ! 0.2 OUTPUTS
79    REAL, intent(out):: zustr(ngrid)       ! Zonal surface stress
80    REAL, intent(out):: zvstr(ngrid)       ! Meridional surface stress
81    REAL, intent(out):: d_t(ngrid, nlayer) ! Tendency on temperature (K/s) due to gravity waves (not used set to zero)
82    REAL, intent(out):: d_u(ngrid, nlayer) ! Tendency on zonal wind (m/s/s) due to gravity waves
83    REAL, intent(out):: d_v(ngrid, nlayer) ! Tendency on meridional wind (m/s/s) due to gravity waves
84
85    ! 0.3 INTERNAL ARRAYS
86    REAL :: TT(ngrid, nlayer)   ! Temperature at full levels
87    REAL :: RHO(ngrid, nlayer)  ! Mass density at full levels
88    REAL :: UU(ngrid, nlayer)   ! Zonal wind at full levels
89    REAL :: VV(ngrid, nlayer)   ! Meridional winds at full levels
90    REAL :: BVLOW(ngrid)        ! initial N at each grid (not used)
91
92    INTEGER II, JJ, LL
93
94    ! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED
95    REAL, parameter:: DELTAT = 24. * 3600.
96   
97    ! 0.3.1 GRAVITY-WAVES SPECIFICATIONS
98    INTEGER, PARAMETER:: NK = 2 ! number of horizontal wavenumbers
99    INTEGER, PARAMETER:: NP = 2 ! directions (eastward and westward) phase speed
100    INTEGER, PARAMETER:: NO = 2 ! absolute values of phase speed
101    INTEGER, PARAMETER:: NA = 5 ! number of realizations to get the phase speed
102    INTEGER, PARAMETER:: NW = NK * NP * NO ! Total numbers of gravity waves
103    INTEGER JK, JP, JO, JW      ! Loop index for NK,NP,NO, and NW
104
105    REAL, save :: kmax             ! Max horizontal wavenumber (lambda min,lambda=2*pi/kmax),kmax=N/u, u(=30~50) zonal wind velocity at launch altitude
106!$OMP THREADPRIVATE(kmax)
107    REAL, save :: kmin             ! Min horizontal wavenumber (lambda max = 314 km,lambda=2*pi/kmin)
108!$OMP THREADPRIVATE(kmin)
109    REAL kstar                     ! Min horizontal wavenumber constrained by horizontal resolution
110
111    REAL :: max_k(ngrid)           ! max_k=max(kstar,kmin)
112    REAL, parameter:: cmin = 1.    ! Min horizontal absolute phase velocity (not used)   
113    REAL CPHA(ngrid)                      ! absolute PHASE VELOCITY frequency
114    REAL ZK(NW, ngrid)             ! Horizontal wavenumber amplitude
115    REAL ZP(NW, ngrid)             ! Horizontal wavenumber angle       
116    REAL ZO(NW, ngrid)             ! Absolute frequency
117
118    REAL intr_freq_m(nw, ngrid)          ! Waves Intr. freq. at the 1/2 lev below the full level (previous name: ZOM)
119    REAL intr_freq_p(nw, ngrid)          ! Waves Intr. freq. at the 1/2 lev above the full level (previous name: ZOP)
120    REAL wwm(nw, ngrid)                  ! Wave EP-fluxes at the 1/2 level below the full level
121    REAL wwp(nw, ngrid)                  ! Wave EP-fluxes at the 1/2 level above the full level
122    REAL u_epflux_p(nw, ngrid)           ! Partial zonal flux (=for each wave) at the 1/2 level above the full level (previous name: RUWP)
123    REAL v_epflux_p(nw, ngrid)           ! Partial meridional flux (=for each wave) at the 1/2 level above the full level (previous name: RVWP)
124    REAL u_epflux_tot(ngrid, nlayer + 1) ! Total zonal flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RUW) 
125    REAL v_epflux_tot(ngrid, nlayer + 1) ! Total meridional flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RVW)
126    REAL epflux_0(nw, ngrid)             ! Fluxes at launching level (previous name: RUW0)
127    REAL, save :: epflux_max             ! Max EP flux value at launching altitude (previous name: RUWMAX, tunable)
128!$OMP THREADPRIVATE(epflux_max)
129    INTEGER LAUNCH                       ! Launching altitude
130    REAL, save :: xlaunch                ! Control the launching altitude by pressure
131!$OMP THREADPRIVATE(xlaunch)
132    REAL, parameter:: zmaxth_top = 8000. ! Top of convective layer (approx. not used)
133    REAL cmax(ngrid,nlayer)             ! Max horizontal absolute phase velocity (at the maginitide of zonal wind u at the launch altitude)
134
135    ! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS
136    REAL, save :: sat                 ! saturation parameter(tunable)
137!$OMP THREADPRIVATE(sat)
138    REAL, save :: rdiss               ! dissipation coefficient (tunable)
139!$OMP THREADPRIVATE(rdiss)
140    REAL, parameter:: zoisec = 1.e-10 ! security for intrinsic frequency
141
142    ! 0.3.3 Background flow at 1/2 levels and vertical coordinate
143    REAL H0bis(ngrid, nlayer)          ! Characteristic Height of the atmosphere (specific locations)
144    REAL, save:: H0                    ! Characteristic Height of the atmosphere (constant)
145!$OMP THREADPRIVATE(H0)
146    REAL, parameter:: pr = 250         ! Reference pressure [Pa]
147    REAL, parameter:: tr = 220.        ! Reference temperature [K]
148    REAL ZH(ngrid, nlayer + 1)         ! Log-pressure altitude (constant H0)
149    REAL ZHbis(ngrid, nlayer + 1)      ! Log-pressure altitude (varying H0bis)
150    REAL UH(ngrid, nlayer + 1)         ! zonal wind at 1/2 levels
151    REAL VH(ngrid, nlayer + 1)         ! meridional wind at 1/2 levels
152    REAL PH(ngrid, nlayer + 1)         ! Pressure at 1/2 levels
153    REAL, parameter:: psec = 1.e-20    ! Security to avoid division by 0 pressure(!!IMPORTANT: should be lower than the topmost layer's pressure)
154    REAL BV(ngrid, nlayer + 1)         ! Brunt Vaisala freq. (N^2) at 1/2 levels
155    REAL, parameter:: bvsec = 1.e-5    ! Security to avoid negative BV 
156    REAL HREF(nlayer + 1)              ! Reference pressure for launching altitude
157
158
159    REAL RAN_NUM_1,RAN_NUM_2,RAN_NUM_3
160
161
162    LOGICAL,SAVE :: firstcall = .true.
163!$OMP THREADPRIVATE(firstcall)
164
165!-----------------------------------------------------------------------------------------------------------------------
166!  1. INITIALISATIONS
167!-----------------------------------------------------------------------------------------------------------------------
168     IF (firstcall) THEN
169        write(*,*) "nonoro_gwd_ran: FLott non-oro GW scheme is active!"
170        epflux_max = 7.E-7 ! Mars' value !!
171        call getin_p("nonoro_gwd_epflux_max", epflux_max)
172        write(*,*) "nonoro_gwd_ran: epflux_max=", epflux_max
173        sat = 1. ! default gravity waves saturation value !!
174        call getin_p("nonoro_gwd_sat", sat)
175        write(*,*) "nonoro_gwd_ran: sat=", sat     
176!        cmax = 50. ! default gravity waves phase velocity value !!
177!        call getin_p("nonoro_gwd_cmax", cmax)
178!        write(*,*) "nonoro_gwd_ran: cmax=", cmax
179        rdiss=0.01 ! default coefficient of dissipation !!
180        call getin_p("nonoro_gwd_rdiss", rdiss)
181        write(*,*) "nonoro_gwd_ran: rdiss=", rdiss
182        kmax=7.E-4 ! default Max horizontal wavenumber !!
183        call getin_p("nonoro_gwd_kmax", kmax)
184        write(*,*) "nonoro_gwd_ran: kmax=", kmax
185        kmin=2.e-5 ! default Max horizontal wavenumber !!
186        call getin_p("nonoro_gwd_kmin", kmin)
187        write(*,*) "nonoro_gwd_ran: kmin=", kmin
188        xlaunch=0.4 ! default GW luanch altitude controller !!
189        call getin_p("nonoro_gwd_xlaunch", xlaunch)
190        write(*,*) "nonoro_gwd_ran: xlaunch=", xlaunch
191        ! Characteristic vertical scale height
192        H0 = r * tr / g
193        ! Control
194        if (deltat .LT. dtime) THEN
195             call abort_physic("nonoro_gwd_ran","gwd random: deltat lower than dtime!",1)
196        endif
197        if (nlayer .LT. nw) THEN
198             call abort_physic("nonoro_gwd_ran","gwd random: nlayer lower than nw!",1)
199        endif
200        firstcall = .false.
201     ENDIF
202
203! Compute current values of temperature and winds
204    tt(:,:)=pt(:,:)+dtime*pdt(:,:)
205    uu(:,:)=pu(:,:)+dtime*pdu(:,:)
206    vv(:,:)=pv(:,:)+dtime*pdv(:,:)
207! Compute the real mass density by rho=p/R(T)T
208     DO ll=1,nlayer
209       DO ii=1,ngrid
210            rho(ii,ll) = pp(ii,ll)/(rnew(ii,ll)*tt(ii,ll))
211       ENDDO
212     ENDDO
213!    print*,'epflux_max just after firstcall:', epflux_max
214
215!-----------------------------------------------------------------------------------------------------------------------
216!  2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS
217!-----------------------------------------------------------------------------------------------------------------------
218    ! Pressure and inverse of pressure at 1/2 level
219    DO LL = 2, nlayer
220       PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.)
221    end DO
222    PH(:, nlayer + 1) = 0.
223    PH(:, 1) = 2. * PP(:, 1) - PH(:, 2)
224
225!    call write_output('nonoro_pp','nonoro_pp', 'm',PP(:,:))
226!    call write_output('nonoro_ph','nonoro_ph', 'm',PH(:,:))
227
228    ! Launching level for reproductible case
229    !Pour revenir a la version non reproductible en changeant le nombre de
230    !process
231    ! Reprend la formule qui calcule PH en fonction de PP=play
232    DO LL = 2, nlayer
233       HREF(LL) = EXP((LOG(presnivs(LL))+ LOG(presnivs(LL - 1))) / 2.)
234    end DO
235    HREF(nlayer + 1) = 0.
236    HREF(1) = 2. * presnivs(1) - HREF(2)
237
238    LAUNCH=0
239    DO LL = 1, nlayer
240       IF (HREF(LL) / HREF(1) > XLAUNCH) LAUNCH = LL
241    ENDDO
242       
243    ! Log pressure vert. coordinate
244       ZH(:,1) = 0.
245    DO LL = 2, nlayer + 1
246       !ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC))
247        H0bis(:, LL-1) = r * TT(:, LL-1) / g
248          ZH(:, LL) = ZH(:, LL-1) &
249           + H0bis(:, LL-1)*(PH(:, LL-1)-PH(:,LL))/PP(:, LL-1)
250    end DO
251        ZH(:, 1) = H0 * LOG(PR / (PH(:, 1) + PSEC))
252
253!    call write_output('nonoro_zh','nonoro_zh', 'm',ZH(:,2:nlayer+1))
254
255    ! Winds and Brunt Vaisala frequency
256    DO LL = 2, nlayer
257       UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1))                          ! Zonal wind
258       VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1))                          ! Meridional wind
259       ! Brunt Vaisala frequency (=g/T*[dT/dz + g/cp] )
260       BV(:, LL)= G/(0.5 * (TT(:, LL) + TT(:, LL - 1)))                     &
261        *((TT(:, LL) - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1))+ &
262        G / cpnew(:,LL))
263
264       BV(:,LL) =MAX(1.E-12,BV(:,LL)) ! to ensure that BV is positive
265       BV(:,LL) = MAX(BVSEC,SQRT(BV(:,LL))) ! make sure it is not too small
266    end DO
267    BV(:, 1) = BV(:, 2)
268    UH(:, 1) = 0.
269    VH(:, 1) = 0.
270    BV(:, nlayer + 1) = BV(:, nlayer)
271    UH(:, nlayer + 1) = UU(:, nlayer)
272    VH(:, nlayer + 1) = VV(:, nlayer)
273    cmax(:,launch)=UU(:, launch)
274    DO ii=1,ngrid
275       KSTAR = PI/SQRT(cell_area(II))
276       MAX_K(II)=MAX(kmin,kstar)
277    ENDDO
278    call write_output('nonoro_bv','Brunt Vaisala frequency in nonoro', 'Hz',BV(:,2:nlayer+1))
279
280!-----------------------------------------------------------------------------------------------------------------------
281! 3. WAVES CHARACTERISTICS CHOSEN RANDOMLY
282!-----------------------------------------------------------------------------------------------------------------------
283! The mod function of here a weird arguments are used to produce the waves characteristics in a stochastic way
284    DO JW = 1, NW
285             !  Angle
286             DO II = 1, ngrid
287                ! Angle (0 or PI so far)
288                RAN_NUM_1=MOD(TT(II, JW) * 10., 1.)
289                RAN_NUM_2= MOD(TT(II, JW) * 100., 1.)
290                ZP(JW, II) = (SIGN(1., 0.5 - RAN_NUM_1) + 1.)* PI / 2.
291               
292                ! Horizontal wavenumber amplitude
293                ! From Venus model: TN+GG April/June 2020 (rev2381)
294                ! "Individual waves are not supposed to occupy the entire domain, but only a fraction of it" (Lott+2012)
295                ! ZK(JW, II) = KMIN + (KMAX - KMIN) *RAN_NUM_2
296                KSTAR = PI/SQRT(cell_area(II))         
297                ZK(JW, II) = MAX_K(II) + (KMAX - MAX_K(II)) *RAN_NUM_2
298               
299               ! Horizontal phase speed
300! this computation allows to get a gaussian distribution centered on 0 (right ?)
301! then cmin is not useful, and it favors small values.
302                CPHA(:) = 0.
303                DO JJ = 1, NA
304                    RAN_NUM_3=MOD(TT(II, JW+3*JJ)**2, 1.)
305                    CPHA(ii) = CPHA(ii) + 2.*CMAX(ii,launch)*      &
306                           (RAN_NUM_3 -0.5)*                       &
307                           SQRT(3.)/SQRT(NA*1.)
308                END DO
309                IF (CPHA(ii).LT.0.)  THEN
310                   CPHA(ii) = -1.*CPHA(ii)
311                   ZP(JW,II) = ZP(JW,II) + PI
312                ENDIF
313! otherwise, with the computation below, we get a uniform distribution between cmin and cmax.
314!           ran_num_3 = mod(tt(ii, jw)**2, 1.)
315!           cpha = cmin + (cmax - cmin) * ran_num_3
316
317                ! Intrinsic frequency
318                ZO(JW, II) = CPHA(II) * ZK(JW, II)
319                ! Intrinsic frequency  is imposed
320                ZO(JW, II) = ZO(JW, II)                                            &
321                            + ZK(JW, II) * COS(ZP(JW, II)) * UH(II, LAUNCH)        &
322                            + ZK(JW, II) * SIN(ZP(JW, II)) * VH(II, LAUNCH)
323               
324                ! Momentum flux at launch level
325                epflux_0(JW, II) = epflux_max                                      &
326                                  * MOD(100. * (UU(II, JW)**2 + VV(II, JW)**2), 1.)
327              ENDDO
328   end DO
329!     print*,'epflux_0 just after waves charac. ramdon:', epflux_0
330
331!-----------------------------------------------------------------------------------------------------------------------
332! 4. COMPUTE THE FLUXES
333!-----------------------------------------------------------------------------------------------------------------------
334    !  4.1  Vertical velocity at launching altitude to ensure the correct value to the imposed fluxes.
335    !------------------------------------------------------
336    DO JW = 1, NW
337       ! Evaluate intrinsic frequency at launching altitude:
338       intr_freq_p(JW, :) = ZO(JW, :)                                    &
339                            - ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LAUNCH) &
340                            - ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LAUNCH)
341    end DO
342
343! VERSION WITHOUT CONVECTIVE SOURCE
344       ! Vertical velocity at launch level, value to ensure the imposed
345       ! mom flux:
346         DO JW = 1, NW
347       ! WW is directly a flux, here, not vertical velocity anymore
348            WWP(JW, :) = epflux_0(JW,:)
349            u_epflux_p(JW, :) = COS(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :)
350            v_epflux_p(JW, :) = SIN(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :)
351         end DO
352   
353    !  4.2 Initial flux at launching altitude
354    !------------------------------------------------------
355    u_epflux_tot(:, LAUNCH) = 0
356    v_epflux_tot(:, LAUNCH) = 0
357    DO JW = 1, NW
358       u_epflux_tot(:, LAUNCH) = u_epflux_tot(:, LAUNCH) + u_epflux_p(JW, :)
359       v_epflux_tot(:, LAUNCH) = v_epflux_tot(:, LAUNCH) + v_epflux_p(JW, :)
360    end DO
361
362    !  4.3 Loop over altitudes, with passage from one level to the next done by:
363    !----------------------------------------------------------------------------
364    !    i) conserving the EP flux,
365    !    ii) dissipating a little,
366    !    iii) testing critical levels,
367    !    iv) testing the breaking.
368    !----------------------------------------------------------------------------
369    DO LL = LAUNCH, nlayer - 1
370       !  W(KB)ARNING: ALL THE PHYSICS IS HERE (PASSAGE FROM ONE LEVEL TO THE NEXT)
371       DO JW = 1, NW
372          intr_freq_m(JW, :) = intr_freq_p(JW, :)
373          WWM(JW, :) = WWP(JW, :)
374          ! Intrinsic Frequency
375          intr_freq_p(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW,:)) * UH(:, LL + 1)     &
376                               - ZK(JW, :) * SIN(ZP(JW,:)) * VH(:, LL + 1)
377          ! Vertical velocity in flux formulation
378          WWP(JW, :) = MIN(                                                              &
379                     ! No breaking (Eq.6)
380                     WWM(JW, :)                                                          &
381                     ! Dissipation (Eq. 8)(real rho used here rather than pressure
382                     ! parametration because the original code has a bug if the density of
383                     ! the planet at the launch altitude not approximate 1):                     !
384                     * EXP(- RDISS*2./rho(:, LL + 1)                                     &
385                     * ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3                             &
386                     / MAX(ABS(intr_freq_p(JW, :) + intr_freq_m(JW, :)) / 2., ZOISEC)**4 &
387                     * ZK(JW, :)**3 * (ZH(:, LL + 1) - ZH(:, LL))),                      &
388                     ! Critical levels (forced to zero if intrinsic frequency
389                     ! changes sign)
390                     MAX(0., SIGN(1., intr_freq_p(JW, :) * intr_freq_m(JW, :)))          &
391                     ! Saturation (Eq. 12) (rho at launch altitude is imposed by J.Liu.
392                     ! Same reason with Eq. 8)
393                     * ABS(intr_freq_p(JW, :))**3 / (2.*BV(:, LL+1))                     &
394                     * rho(:,launch)*exp(-zh(:, ll + 1) / H0)                            &
395                     * SAT**2 *KMIN**2 / ZK(JW, :)**4) 
396       end DO
397       ! END OF W(KB)ARNING
398
399       ! Evaluate EP-flux from Eq. 7 and give the right orientation to the stress
400       DO JW = 1, NW
401          u_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * COS(ZP(JW, :)) *  WWP(JW, :)
402          v_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * SIN(ZP(JW, :)) *  WWP(JW, :)
403       end DO
404 
405       u_epflux_tot(:, LL + 1) = 0.
406       v_epflux_tot(:, LL + 1) = 0.
407       DO JW = 1, NW
408          u_epflux_tot(:, LL + 1) = u_epflux_tot(:, LL + 1) + u_epflux_p(JW, :)
409          v_epflux_tot(:, LL + 1) = v_epflux_tot(:, LL + 1) + v_epflux_p(JW, :)
410          EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LL)+MAX(0.,u_epflux_p(JW,:))/FLOAT(NW)
411          WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LL)+MIN(0.,u_epflux_p(JW,:))/FLOAT(NW)
412       end DO       
413    end DO ! DO LL = LAUNCH, nlayer - 1
414
415!-----------------------------------------------------------------------------------------------------------------------
416! 5. TENDENCY CALCULATIONS
417!-----------------------------------------------------------------------------------------------------------------------
418
419    ! 5.1 Flow rectification at the top and in the low layers
420    ! --------------------------------------------------------
421    ! Warning, this is the total on all GW
422    u_epflux_tot(:, nlayer + 1) = 0.
423    v_epflux_tot(:, nlayer + 1) = 0.
424
425    ! Here, big change compared to FLott version:
426    ! We compensate (u_epflux_tot(:, LAUNCH), ie total emitted upward flux
427    !  over the layers max(1,LAUNCH-3) to LAUNCH-1
428    DO LL = 1, max(1,LAUNCH-3)
429      u_epflux_tot(:, LL) = 0.
430      v_epflux_tot(:, LL) = 0.
431    end DO
432    DO LL = max(2,LAUNCH-2), LAUNCH-1
433       u_epflux_tot(:, LL) = u_epflux_tot(:, LL - 1) + u_epflux_tot(:, LAUNCH) *          &
434                             (PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
435       v_epflux_tot(:, LL) = v_epflux_tot(:, LL - 1) + v_epflux_tot(:, LAUNCH) *          &
436                             (PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
437       EAST_GWSTRESS(:,LL) = EAST_GWSTRESS(:, LL - 1) +                                   &
438                             EAST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/            &
439                             (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
440       WEST_GWSTRESS(:,LL) = WEST_GWSTRESS(:, LL - 1) +                                   &
441                             WEST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/            &
442                             (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
443    end DO
444    ! This way, the total flux from GW is zero, but there is a net transport
445    ! (upward) that should be compensated by circulation
446    ! and induce additional friction at the surface
447    call write_output('nonoro_u_epflux_tot','Total EP Flux along U in nonoro', '',u_epflux_tot(:,2:nlayer+1))
448    call write_output('nonoro_v_epflux_tot','Total EP Flux along V in nonoro', '',v_epflux_tot(:,2:nlayer+1))
449
450    ! 5.2 AR-1 RECURSIVE FORMULA (13) IN VERSION 4
451    !---------------------------------------------
452    DO LL = 1, nlayer
453       !Notice here the d_u and d_v are tendency (For Mars) but not increment(Venus).
454       d_u(:, LL) = G * (u_epflux_tot(:, LL + 1) - u_epflux_tot(:, LL)) &
455                    / (PH(:, LL + 1) - PH(:, LL))
456       d_v(:, LL) = G * (v_epflux_tot(:, LL + 1) - v_epflux_tot(:, LL)) &
457                    / (PH(:, LL + 1) - PH(:, LL))
458    ENDDO
459    d_t(:,:) = 0.
460!    call write_output('nonoro_d_u','nonoro_d_u', '',d_u(:,:))
461!    call write_output('nonoro_d_v','nonoro_d_v', '',d_v(:,:))
462
463    ! 5.3 Update tendency of wind with the previous (and saved) values
464    !-----------------------------------------------------------------
465    d_u(:,:) = DTIME/DELTAT/REAL(NW) * d_u(:,:)                       &
466               + (1.-DTIME/DELTAT) * du_nonoro_gwd(:,:)
467    d_v(:,:) = DTIME/DELTAT/REAL(NW) * d_v(:,:)                       &
468               + (1.-DTIME/DELTAT) * dv_nonoro_gwd(:,:)
469    du_nonoro_gwd(:,:) = d_u(:,:)
470    dv_nonoro_gwd(:,:) = d_v(:,:)
471
472    call write_output('du_nonoro_gwd','Tendency on U due to nonoro GW', 'm.s-2',du_nonoro_gwd(:,:))
473    call write_output('dv_nonoro_gwd','Tendency on V due to nonoro GW', 'm.s-2',dv_nonoro_gwd(:,:))
474   
475    ! Cosmetic: evaluation of the cumulated stress
476    ZUSTR(:) = 0.
477    ZVSTR(:) = 0.
478    DO LL = 1, nlayer
479       ZUSTR(:) = ZUSTR(:) + D_U(:, LL) *rho(:, LL) * (ZH(:, LL + 1) - ZH(:, LL))*DTIME
480       ZVSTR(:) = ZVSTR(:) + D_V(:, LL) *rho(:, LL) * (ZH(:, LL + 1) - ZH(:, LL))*DTIME
481    ENDDO
482
483  END SUBROUTINE NONORO_GWD_RAN
484
485
486
487! ========================================================
488! Subroutines used to allocate/deallocate module variables       
489! ========================================================
490  SUBROUTINE ini_nonoro_gwd_ran(ngrid,nlayer)
491
492  IMPLICIT NONE
493
494      INTEGER, INTENT (in) :: ngrid  ! number of atmospheric columns
495      INTEGER, INTENT (in) :: nlayer ! number of atmospheric layers
496
497         allocate(du_nonoro_gwd(ngrid,nlayer))
498         allocate(dv_nonoro_gwd(ngrid,nlayer))
499         allocate(east_gwstress(ngrid,nlayer))
500         east_gwstress(:,:)=0
501         allocate(west_gwstress(ngrid,nlayer))
502         west_gwstress(:,:)=0
503
504  END SUBROUTINE ini_nonoro_gwd_ran
505! ----------------------------------
506  SUBROUTINE end_nonoro_gwd_ran
507
508  IMPLICIT NONE
509
510         if (allocated(du_nonoro_gwd)) deallocate(du_nonoro_gwd)
511         if (allocated(dv_nonoro_gwd)) deallocate(dv_nonoro_gwd)
512         if (allocated(east_gwstress)) deallocate(east_gwstress)
513         if (allocated(west_gwstress)) deallocate(west_gwstress)
514
515  END SUBROUTINE end_nonoro_gwd_ran
516
517END MODULE nonoro_gwd_ran_mod
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