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nonoro_gwd_ran_mod.F90 @ 2616

Last change on this file since 2616 was 2596, checked in by emillour, 3 years ago
Mars GCM: Missing OpenMP Threadprivate. JL+EM
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1	MODULE nonoro_gwd_ran_mod
2
3	IMPLICIT NONE
4
5	REAL,allocatable,save :: du_nonoro_gwd(:,:) ! Zonal wind tendency due to GWD
6	REAL,allocatable,save :: dv_nonoro_gwd(:,:) ! Meridional wind tendency due to GWD
7	REAL,ALLOCATABLE,SAVE :: east_gwstress(:,:) ! Profile of eastward stress
8	REAL,ALLOCATABLE,SAVE :: west_gwstress(:,:) ! Profile of westward stress
9
10	!$OMP THREADPRIVATE(du_nonoro_gwd,dv_nonoro_gwd,east_gwstress,west_gwstress)
11
12	CONTAINS
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	#ifdef CPP_XIOS
50	use xios_output_mod, only: send_xios_field
51	#endif
52	implicit none
53	include "yoegwd.h"
54	include "callkeys.h"
55
56	CHARACTER (LEN=20) :: modname='nonoro_gwd_ran'
57	CHARACTER (LEN=80) :: abort_message
58
59
60	! 0. DECLARATIONS:
61
62	! 0.1 INPUTS
63	INTEGER, intent(in):: ngrid ! number of atmospheric columns
64	INTEGER, intent(in):: nlayer ! number of atmospheric layers
65	REAL, intent(in):: DTIME ! Time step of the Physics(s)
66	REAL, intent(in):: zmax_therm(ngrid) ! Altitude of max velocity thermals (m)
67	REAL,INTENT(IN) :: cpnew(ngrid,nlayer)! Cp of the atmosphere
68	REAL,INTENT(IN) :: rnew(ngrid,nlayer) ! R of the atmosphere
69	REAL, intent(in):: pp(ngrid,nlayer) ! Pressure at full levels(Pa)
70	REAL, intent(in):: pt(ngrid,nlayer) ! Temp at full levels(K)
71	REAL, intent(in):: pu(ngrid,nlayer) ! Zonal wind at full levels(m/s)
72	REAL, intent(in):: pv(ngrid,nlayer) ! Meridional winds at full levels(m/s)
73	REAL,INTENT(in) :: pdt(ngrid,nlayer) ! Tendency on temperature (K/s)
74	REAL,INTENT(in) :: pdu(ngrid,nlayer) ! Tendency on zonal wind (m/s/s)
75	REAL,INTENT(in) :: pdv(ngrid,nlayer) ! Tendency on meridional wind (m/s/s)
76
77	! 0.2 OUTPUTS
78	REAL, intent(out):: zustr(ngrid) ! Zonal surface stress
79	REAL, intent(out):: zvstr(ngrid) ! Meridional surface stress
80	REAL, intent(out):: d_t(ngrid, nlayer) ! Tendency on temperature (K/s) due to gravity waves (not used set to zero)
81	REAL, intent(out):: d_u(ngrid, nlayer) ! Tendency on zonal wind (m/s/s) due to gravity waves
82	REAL, intent(out):: d_v(ngrid, nlayer) ! Tendency on meridional wind (m/s/s) due to gravity waves
83
84	! 0.3 INTERNAL ARRAYS
85	REAL :: TT(ngrid, nlayer) ! Temperature at full levels
86	REAL :: RHO(ngrid, nlayer) ! Mass density at full levels
87	REAL :: UU(ngrid, nlayer) ! Zonal wind at full levels
88	REAL :: VV(ngrid, nlayer) ! Meridional winds at full levels
89	REAL :: BVLOW(ngrid) ! initial N at each grid (not used)
90
91	INTEGER II, JJ, LL
92
93	! 0.3.0 TIME SCALE OF THE LIFE CYCLE OF THE WAVES PARAMETERIZED
94	REAL, parameter:: DELTAT = 24. * 3600.
95
96	! 0.3.1 GRAVITY-WAVES SPECIFICATIONS
97	INTEGER, PARAMETER:: NK = 2 ! number of horizontal wavenumbers
98	INTEGER, PARAMETER:: NP = 2 ! directions (eastward and westward) phase speed
99	INTEGER, PARAMETER:: NO = 2 ! absolute values of phase speed
100	INTEGER, PARAMETER:: NA = 5 ! number of realizations to get the phase speed
101	INTEGER, PARAMETER:: NW = NK * NP * NO ! Total numbers of gravity waves
102	INTEGER JK, JP, JO, JW ! Loop index for NK,NP,NO, and NW
103
104	REAL, save :: kmax ! Max horizontal wavenumber (lambda min,lambda=2*pi/kmax),kmax=N/u, u(=30~50) zonal wind velocity at launch altitude
105	!$OMP THREADPRIVATE(kmax)
106	REAL, parameter:: kmin = 2.e-5 ! Min horizontal wavenumber (lambda max = 314 km,lambda=2*pi/kmin)
107	REAL kstar ! Min horizontal wavenumber constrained by horizontal resolution
108	REAL, save :: cmax ! Max horizontal absolute phase velocity (at the maginitide of zonal wind u at the launch altitude)
109	!$OMP THREADPRIVATE(cmax)
110	REAL, parameter:: cmin = 1. ! Min horizontal absolute phase velocity (not used)
111	REAL CPHA ! absolute PHASE VELOCITY frequency
112	REAL ZK(NW, ngrid) ! Horizontal wavenumber amplitude
113	REAL ZP(NW, ngrid) ! Horizontal wavenumber angle
114	REAL ZO(NW, ngrid) ! Absolute frequency
115
116	REAL intr_freq_m(nw, ngrid) ! Waves Intr. freq. at the 1/2 lev below the full level (previous name: ZOM)
117	REAL intr_freq_p(nw, ngrid) ! Waves Intr. freq. at the 1/2 lev above the full level (previous name: ZOP)
118	REAL wwm(nw, ngrid) ! Wave EP-fluxes at the 1/2 level below the full level
119	REAL wwp(nw, ngrid) ! Wave EP-fluxes at the 1/2 level above the full level
120	REAL u_epflux_p(nw, ngrid) ! Partial zonal flux (=for each wave) at the 1/2 level above the full level (previous name: RUWP)
121	REAL v_epflux_p(nw, ngrid) ! Partial meridional flux (=for each wave) at the 1/2 level above the full level (previous name: RVWP)
122	REAL u_epflux_tot(ngrid, nlayer + 1) ! Total zonal flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RUW)
123	REAL v_epflux_tot(ngrid, nlayer + 1) ! Total meridional flux (=for all waves (nw)) at the 1/2 level above the full level (3D) (previous name: RVW)
124	REAL epflux_0(nw, ngrid) ! Fluxes at launching level (previous name: RUW0)
125	REAL, save :: epflux_max ! Max EP flux value at launching altitude (previous name: RUWMAX, tunable)
126	!$OMP THREADPRIVATE(epflux_max)
127	INTEGER LAUNCH ! Launching altitude
128	REAL, parameter:: xlaunch = 0.4 ! Control the launching altitude by pressure
129	REAL, parameter:: zmaxth_top = 8000. ! Top of convective layer (approx. not used)
130
131
132	! 0.3.2 PARAMETERS OF WAVES DISSIPATIONS
133	REAL, save :: sat ! saturation parameter(tunable)
134	!$OMP THREADPRIVATE(sat)
135	REAL, save :: rdiss ! dissipation coefficient (tunable)
136	!$OMP THREADPRIVATE(rdiss)
137	REAL, parameter:: zoisec = 1.e-10 ! security for intrinsic frequency
138
139	! 0.3.3 Background flow at 1/2 levels and vertical coordinate
140	REAL H0bis(ngrid, nlayer) ! Characteristic Height of the atmosphere (specific locations)
141	REAL, save:: H0 ! Characteristic Height of the atmosphere (constant)
142	!$OMP THREADPRIVATE(H0)
143	REAL, parameter:: pr = 250 ! Reference pressure [Pa]
144	REAL, parameter:: tr = 220. ! Reference temperature [K]
145	REAL ZH(ngrid, nlayer + 1) ! Log-pressure altitude (constant H0)
146	REAL ZHbis(ngrid, nlayer + 1) ! Log-pressure altitude (varying H0bis)
147	REAL UH(ngrid, nlayer + 1) ! zonal wind at 1/2 levels
148	REAL VH(ngrid, nlayer + 1) ! meridional wind at 1/2 levels
149	REAL PH(ngrid, nlayer + 1) ! Pressure at 1/2 levels
150	REAL, parameter:: psec = 1.e-20 ! Security to avoid division by 0 pressure(!!IMPORTANT: should be lower than the topmost layer's pressure)
151	REAL BV(ngrid, nlayer + 1) ! Brunt Vaisala freq. (N^2) at 1/2 levels
152	REAL, parameter:: bvsec = 1.e-5 ! Security to avoid negative BV
153	REAL HREF(nlayer + 1) ! Reference pressure for launching altitude
154
155
156	REAL RAN_NUM_1,RAN_NUM_2,RAN_NUM_3
157
158
159	LOGICAL,SAVE :: firstcall = .true.
160	!$OMP THREADPRIVATE(firstcall)
161
162	!-----------------------------------------------------------------------------------------------------------------------
163	! 1. INITIALISATIONS
164	!-----------------------------------------------------------------------------------------------------------------------
165	IF (firstcall) THEN
166	write(,) "nonoro_gwd_ran: FLott non-oro GW scheme is active!"
167	epflux_max = 7.E-7 ! Mars' value !!
168	call getin_p("nonoro_gwd_epflux_max", epflux_max)
169	write(,) "nonoro_gwd_ran: epflux_max=", epflux_max
170	sat = 1. ! default gravity waves saturation value !!
171	call getin_p("nonoro_gwd_sat", sat)
172	write(,) "nonoro_gwd_ran: sat=", sat
173	cmax = 50. ! default gravity waves phase velocity value !!
174	call getin_p("nonoro_gwd_cmax", cmax)
175	write(,) "nonoro_gwd_ran: cmax=", cmax
176	rdiss=0.01 ! default coefficient of dissipation !!
177	call getin_p("nonoro_gwd_rdiss", rdiss)
178	write(,) "nonoro_gwd_ran: rdiss=", rdiss
179	kmax=7.E-4 ! default Max horizontal wavenumber !!
180	call getin_p("nonoro_gwd_kmax", kmax)
181	write(,) "nonoro_gwd_ran: kmax=", kmax
182
183	! Characteristic vertical scale height
184	H0 = r * tr / g
185	! Control
186	if (deltat .LT. dtime) THEN
187	call abort_physic("nonoro_gwd_ran","gwd random: deltat lower than dtime!",1)
188	endif
189	if (nlayer .LT. nw) THEN
190	call abort_physic("nonoro_gwd_ran","gwd random: nlayer lower than nw!",1)
191	endif
192	firstcall = .false.
193	ENDIF
194
195	! Compute current values of temperature and winds
196	tt(:,:)=pt(:,:)+dtime*pdt(:,:)
197	uu(:,:)=pu(:,:)+dtime*pdu(:,:)
198	vv(:,:)=pv(:,:)+dtime*pdv(:,:)
199	! Compute the real mass density by rho=p/R(T)T
200	DO ll=1,nlayer
201	DO ii=1,ngrid
202	rho(ii,ll) = pp(ii,ll)/(rnew(ii,ll)*tt(ii,ll))
203	ENDDO
204	ENDDO
205	! print*,'epflux_max just after firstcall:', epflux_max
206
207	!-----------------------------------------------------------------------------------------------------------------------
208	! 2. EVALUATION OF THE BACKGROUND FLOW AT SEMI-LEVELS
209	!-----------------------------------------------------------------------------------------------------------------------
210	! Pressure and inverse of pressure at 1/2 level
211	DO LL = 2, nlayer
212	PH(:, LL) = EXP((LOG(PP(:, LL)) + LOG(PP(:, LL - 1))) / 2.)
213	end DO
214	PH(:, nlayer + 1) = 0.
215	PH(:, 1) = 2. * PP(:, 1) - PH(:, 2)
216
217	call writediagfi(ngrid,'nonoro_pp','nonoro_pp', 'm',3,PP(:,1:nlayer))
218	call writediagfi(ngrid,'nonoro_ph','nonoro_ph', 'm',3,PH(:,1:nlayer))
219
220	! Launching level for reproductible case
221	!Pour revenir a la version non reproductible en changeant le nombre de
222	!process
223	! Reprend la formule qui calcule PH en fonction de PP=play
224	DO LL = 2, nlayer
225	HREF(LL) = EXP((LOG(presnivs(LL))+ LOG(presnivs(LL - 1))) / 2.)
226	end DO
227	HREF(nlayer + 1) = 0.
228	HREF(1) = 2. * presnivs(1) - HREF(2)
229
230	LAUNCH=0
231	DO LL = 1, nlayer
232	IF (HREF(LL) / HREF(1) > XLAUNCH) LAUNCH = LL
233	ENDDO
234
235	! Log pressure vert. coordinate
236	ZH(:,1) = 0.
237	DO LL = 2, nlayer + 1
238	!ZH(:, LL) = H0 * LOG(PR / (PH(:, LL) + PSEC))
239	H0bis(:, LL-1) = r * TT(:, LL-1) / g
240	ZH(:, LL) = ZH(:, LL-1) &
241	+ H0bis(:, LL-1)*(PH(:, LL-1)-PH(:,LL))/PP(:, LL-1)
242	end DO
243	ZH(:, 1) = H0 * LOG(PR / (PH(:, 1) + PSEC))
244
245	call writediagfi(ngrid,'nonoro_zh','nonoro_zh', 'm',3,ZH(:,2:nlayer+1))
246
247	! Winds and Brunt Vaisala frequency
248	DO LL = 2, nlayer
249	UH(:, LL) = 0.5 * (UU(:, LL) + UU(:, LL - 1)) ! Zonal wind
250	VH(:, LL) = 0.5 * (VV(:, LL) + VV(:, LL - 1)) ! Meridional wind
251	! Brunt Vaisala frequency (=g/T*[dT/dz + g/cp] )
252	BV(:, LL)= G/(0.5 * (TT(:, LL) + TT(:, LL - 1))) &
253	*((TT(:, LL) - TT(:, LL - 1)) / (ZH(:, LL) - ZH(:, LL - 1))+ &
254	G / cpnew(:,LL))
255
256	BV(:,LL) =MAX(1.E-12,BV(:,LL)) ! to ensure that BV is positive
257	BV(:,LL) = MAX(BVSEC,SQRT(BV(:,LL))) ! make sure it is not too small
258	end DO
259	BV(:, 1) = BV(:, 2)
260	UH(:, 1) = 0.
261	VH(:, 1) = 0.
262	BV(:, nlayer + 1) = BV(:, nlayer)
263	UH(:, nlayer + 1) = UU(:, nlayer)
264	VH(:, nlayer + 1) = VV(:, nlayer)
265
266	call writediagfi(ngrid,'nonoro_bv','nonoro_bv', 'm',3,BV(:,2:nlayer+1))
267
268	!-----------------------------------------------------------------------------------------------------------------------
269	! 3. WAVES CHARACTERISTICS CHOSEN RANDOMLY
270	!-----------------------------------------------------------------------------------------------------------------------
271	! The mod function of here a weird arguments are used to produce the waves characteristics in a stochastic way
272	DO JW = 1, NW
273	! Angle
274	DO II = 1, ngrid
275	! Angle (0 or PI so far)
276	RAN_NUM_1=MOD(TT(II, JW) * 10., 1.)
277	RAN_NUM_2= MOD(TT(II, JW) * 100., 1.)
278	ZP(JW, II) = (SIGN(1., 0.5 - RAN_NUM_1) + 1.)* PI / 2.
279
280	! Horizontal wavenumber amplitude
281	! From Venus model: TN+GG April/June 2020 (rev2381)
282	! "Individual waves are not supposed to occupy the entire domain, but only a fraction of it" (Lott+2012)
283	! ZK(JW, II) = KMIN + (KMAX - KMIN) *RAN_NUM_2
284	KSTAR = PI/SQRT(cell_area(II))
285	ZK(JW, II) = MAX(KMIN,KSTAR) + (KMAX - MAX(KMIN,KSTAR)) *RAN_NUM_2
286
287	! Horizontal phase speed
288	! this computation allows to get a gaussian distribution centered on 0 (right ?)
289	! then cmin is not useful, and it favors small values.
290	CPHA = 0.
291	DO JJ = 1, NA
292	RAN_NUM_3=MOD(TT(II, JW+3JJ)*2, 1.)
293	CPHA = CPHA + 2.CMAX &
294	(RAN_NUM_3 -0.5)* &
295	SQRT(3.)/SQRT(NA*1.)
296	END DO
297	IF (CPHA.LT.0.) THEN
298	CPHA = -1.*CPHA
299	ZP(JW,II) = ZP(JW,II) + PI
300	ENDIF
301	! otherwise, with the computation below, we get a uniform distribution between cmin and cmax.
302	! ran_num_3 = mod(tt(ii, jw)**2, 1.)
303	! cpha = cmin + (cmax - cmin) * ran_num_3
304
305	! Intrinsic frequency
306	ZO(JW, II) = CPHA * ZK(JW, II)
307	! Intrinsic frequency is imposed
308	ZO(JW, II) = ZO(JW, II) &
309	+ ZK(JW, II) * COS(ZP(JW, II)) * UH(II, LAUNCH) &
310	+ ZK(JW, II) * SIN(ZP(JW, II)) * VH(II, LAUNCH)
311
312	! Momentum flux at launch level
313	epflux_0(JW, II) = epflux_max &
314	* MOD(100. * (UU(II, JW)2 + VV(II, JW)2), 1.)
315	ENDDO
316	end DO
317	! print*,'epflux_0 just after waves charac. ramdon:', epflux_0
318
319	!-----------------------------------------------------------------------------------------------------------------------
320	! 4. COMPUTE THE FLUXES
321	!-----------------------------------------------------------------------------------------------------------------------
322	! 4.1 Vertical velocity at launching altitude to ensure the correct value to the imposed fluxes.
323	!------------------------------------------------------
324	DO JW = 1, NW
325	! Evaluate intrinsic frequency at launching altitude:
326	intr_freq_p(JW, :) = ZO(JW, :) &
327	- ZK(JW, :) * COS(ZP(JW, :)) * UH(:, LAUNCH) &
328	- ZK(JW, :) * SIN(ZP(JW, :)) * VH(:, LAUNCH)
329	end DO
330
331	! VERSION WITHOUT CONVECTIVE SOURCE
332	! Vertical velocity at launch level, value to ensure the imposed
333	! mom flux:
334	DO JW = 1, NW
335	! WW is directly a flux, here, not vertical velocity anymore
336	WWP(JW, :) = epflux_0(JW,:)
337	u_epflux_p(JW, :) = COS(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :)
338	v_epflux_p(JW, :) = SIN(ZP(JW, :)) * SIGN(1., intr_freq_p(JW, :)) * epflux_0(JW, :)
339	end DO
340
341	! 4.2 Initial flux at launching altitude
342	!------------------------------------------------------
343	u_epflux_tot(:, LAUNCH) = 0
344	v_epflux_tot(:, LAUNCH) = 0
345	DO JW = 1, NW
346	u_epflux_tot(:, LAUNCH) = u_epflux_tot(:, LAUNCH) + u_epflux_p(JW, :)
347	v_epflux_tot(:, LAUNCH) = v_epflux_tot(:, LAUNCH) + v_epflux_p(JW, :)
348	end DO
349
350	! 4.3 Loop over altitudes, with passage from one level to the next done by:
351	!----------------------------------------------------------------------------
352	! i) conserving the EP flux,
353	! ii) dissipating a little,
354	! iii) testing critical levels,
355	! iv) testing the breaking.
356	!----------------------------------------------------------------------------
357	DO LL = LAUNCH, nlayer - 1
358	! W(KB)ARNING: ALL THE PHYSICS IS HERE (PASSAGE FROM ONE LEVEL TO THE NEXT)
359	DO JW = 1, NW
360	intr_freq_m(JW, :) = intr_freq_p(JW, :)
361	WWM(JW, :) = WWP(JW, :)
362	! Intrinsic Frequency
363	intr_freq_p(JW, :) = ZO(JW, :) - ZK(JW, :) * COS(ZP(JW,:)) * UH(:, LL + 1) &
364	- ZK(JW, :) * SIN(ZP(JW,:)) * VH(:, LL + 1)
365	! Vertical velocity in flux formulation
366	WWP(JW, :) = MIN( &
367	! No breaking (Eq.6)
368	WWM(JW, :) &
369	! Dissipation (Eq. 8)(real rho used here rather than pressure
370	! parametration because the original code has a bug if the density of
371	! the planet at the launch altitude not approximate 1): !
372	* EXP(- RDISS*2./rho(:, LL + 1) &
373	* ((BV(:, LL + 1) + BV(:, LL)) / 2.)**3 &
374	/ MAX(ABS(intr_freq_p(JW, :) + intr_freq_m(JW, :)) / 2., ZOISEC)**4 &
375	* ZK(JW, :)*3 (ZH(:, LL + 1) - ZH(:, LL))), &
376	! Critical levels (forced to zero if intrinsic frequency
377	! changes sign)
378	MAX(0., SIGN(1., intr_freq_p(JW, :) * intr_freq_m(JW, :))) &
379	! Saturation (Eq. 12) (rho at launch altitude is imposed by J.Liu.
380	! Same reason with Eq. 8)
381	* ABS(intr_freq_p(JW, :))*3 / (2.BV(:, LL+1)) &
382	* rho(:,launch)*exp(-zh(:, ll + 1) / H0) &
383	* SAT*2 KMIN2 / ZK(JW, :)4)
384	end DO
385	! END OF W(KB)ARNING
386
387	! Evaluate EP-flux from Eq. 7 and give the right orientation to the stress
388	DO JW = 1, NW
389	u_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * COS(ZP(JW, :)) * WWP(JW, :)
390	v_epflux_p(JW, :) = SIGN(1.,intr_freq_p(JW, :)) * SIN(ZP(JW, :)) * WWP(JW, :)
391	end DO
392
393	u_epflux_tot(:, LL + 1) = 0.
394	v_epflux_tot(:, LL + 1) = 0.
395	DO JW = 1, NW
396	u_epflux_tot(:, LL + 1) = u_epflux_tot(:, LL + 1) + u_epflux_p(JW, :)
397	v_epflux_tot(:, LL + 1) = v_epflux_tot(:, LL + 1) + v_epflux_p(JW, :)
398	EAST_GWSTRESS(:, LL)=EAST_GWSTRESS(:, LL)+MAX(0.,u_epflux_p(JW,:))/FLOAT(NW)
399	WEST_GWSTRESS(:, LL)=WEST_GWSTRESS(:, LL)+MIN(0.,u_epflux_p(JW,:))/FLOAT(NW)
400	end DO
401	end DO ! DO LL = LAUNCH, nlayer - 1
402
403	!-----------------------------------------------------------------------------------------------------------------------
404	! 5. TENDENCY CALCULATIONS
405	!-----------------------------------------------------------------------------------------------------------------------
406
407	! 5.1 Flow rectification at the top and in the low layers
408	! --------------------------------------------------------
409	! Warning, this is the total on all GW
410	u_epflux_tot(:, nlayer + 1) = 0.
411	v_epflux_tot(:, nlayer + 1) = 0.
412
413	! Here, big change compared to FLott version:
414	! We compensate (u_epflux_tot(:, LAUNCH), ie total emitted upward flux
415	! over the layers max(1,LAUNCH-3) to LAUNCH-1
416	DO LL = 1, max(1,LAUNCH-3)
417	u_epflux_tot(:, LL) = 0.
418	v_epflux_tot(:, LL) = 0.
419	end DO
420	DO LL = max(2,LAUNCH-2), LAUNCH-1
421	u_epflux_tot(:, LL) = u_epflux_tot(:, LL - 1) + u_epflux_tot(:, LAUNCH) * &
422	(PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
423	v_epflux_tot(:, LL) = v_epflux_tot(:, LL - 1) + v_epflux_tot(:, LAUNCH) * &
424	(PH(:,LL)-PH(:,LL-1)) / (PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
425	EAST_GWSTRESS(:,LL) = EAST_GWSTRESS(:, LL - 1) + &
426	EAST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/ &
427	(PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
428	WEST_GWSTRESS(:,LL) = WEST_GWSTRESS(:, LL - 1) + &
429	WEST_GWSTRESS(:, LAUNCH) * (PH(:,LL)-PH(:,LL-1))/ &
430	(PH(:,LAUNCH)-PH(:,max(1,LAUNCH-3)))
431	end DO
432	! This way, the total flux from GW is zero, but there is a net transport
433	! (upward) that should be compensated by circulation
434	! and induce additional friction at the surface
435	call writediagfi(ngrid,'nonoro_u_epflux_tot','nonoro_u_epflux_tot', '',3,u_epflux_tot(:,2:nlayer+1))
436	call writediagfi(ngrid,'nonoro_v_epflux_tot','nonoro_v_epflux_tot', '',3,v_epflux_tot(:,2:nlayer+1))
437
438	! 5.2 AR-1 RECURSIVE FORMULA (13) IN VERSION 4
439	!---------------------------------------------
440	DO LL = 1, nlayer
441	!Notice here the d_u and d_v are tendency (For Mars) but not increment(Venus).
442	d_u(:, LL) = G * (u_epflux_tot(:, LL + 1) - u_epflux_tot(:, LL)) &
443	/ (PH(:, LL + 1) - PH(:, LL))
444	d_v(:, LL) = G * (v_epflux_tot(:, LL + 1) - v_epflux_tot(:, LL)) &
445	/ (PH(:, LL + 1) - PH(:, LL))
446	ENDDO
447	d_t(:,:) = 0.
448	call writediagfi(ngrid,'nonoro_d_u','nonoro_d_u', '',3,d_u)
449	call writediagfi(ngrid,'nonoro_d_v','nonoro_d_v', '',3,d_v)
450
451	! 5.3 Update tendency of wind with the previous (and saved) values
452	!-----------------------------------------------------------------
453	d_u(:,:) = DTIME/DELTAT/REAL(NW) * d_u(:,:) &
454	+ (1.-DTIME/DELTAT) * du_nonoro_gwd(:,:)
455	d_v(:,:) = DTIME/DELTAT/REAL(NW) * d_v(:,:) &
456	+ (1.-DTIME/DELTAT) * dv_nonoro_gwd(:,:)
457	du_nonoro_gwd(:,:) = d_u(:,:)
458	dv_nonoro_gwd(:,:) = d_v(:,:)
459
460	call writediagfi(ngrid,'du_nonoro_gwd','du_nonoro_gwd', '',3,du_nonoro_gwd)
461	call writediagfi(ngrid,'dv_nonoro_gwd','dv_nonoro_gwd', '',3,dv_nonoro_gwd)
462
463	! Cosmetic: evaluation of the cumulated stress
464	ZUSTR(:) = 0.
465	ZVSTR(:) = 0.
466	DO LL = 1, nlayer
467	ZUSTR(:) = ZUSTR(:) + D_U(:, LL) rho(:, LL) (ZH(:, LL + 1) - ZH(:, LL))*DTIME
468	ZVSTR(:) = ZVSTR(:) + D_V(:, LL) rho(:, LL) (ZH(:, LL + 1) - ZH(:, LL))*DTIME
469	ENDDO
470
471	!#ifdef CPP_XIOS
472	! call send_xios_field("du_nonoro", d_u)
473	! call send_xios_field("dv_nonoro", d_v)
474	! call send_xios_field("east_gwstress", east_gwstress)
475	! call send_xios_field("west_gwstress", west_gwstress)
476	!#endif
477
478	END SUBROUTINE NONORO_GWD_RAN
479
480
481
482	! ========================================================
483	! Subroutines used to allocate/deallocate module variables
484	! ========================================================
485	SUBROUTINE ini_nonoro_gwd_ran(ngrid,nlayer)
486
487	IMPLICIT NONE
488
489	INTEGER, INTENT (in) :: ngrid ! number of atmospheric columns
490	INTEGER, INTENT (in) :: nlayer ! number of atmospheric layers
491
492	allocate(du_nonoro_gwd(ngrid,nlayer))
493	allocate(dv_nonoro_gwd(ngrid,nlayer))
494	allocate(east_gwstress(ngrid,nlayer))
495	east_gwstress(:,:)=0
496	allocate(west_gwstress(ngrid,nlayer))
497	west_gwstress(:,:)=0
498
499	END SUBROUTINE ini_nonoro_gwd_ran
500	! ----------------------------------
501	SUBROUTINE end_nonoro_gwd_ran
502
503	IMPLICIT NONE
504
505	if (allocated(du_nonoro_gwd)) deallocate(du_nonoro_gwd)
506	if (allocated(dv_nonoro_gwd)) deallocate(dv_nonoro_gwd)
507	if (allocated(east_gwstress)) deallocate(east_gwstress)
508	if (allocated(west_gwstress)) deallocate(west_gwstress)
509
510	END SUBROUTINE end_nonoro_gwd_ran
511
512	END MODULE nonoro_gwd_ran_mod

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