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vdifc_mod.F @ 2156

Last change on this file since 2156 was 2080, checked in by mvals, 6 years ago

Mars GCM:

typo in vdifc.F (visible in debug mode) in the case of rdstorm=false, condition for defining pdqsdif(stormdust_mass/number)
typo in physiq_mod.F (visible in debug mode): wrong indices for tracers in aerosol(:,:,:)

File size: 30.8 KB

Rev	Line
[1969]	1	MODULE vdifc_mod
	2
	3	IMPLICIT NONE
	4
	5	CONTAINS
	6
[38]	7	SUBROUTINE vdifc(ngrid,nlay,nq,co2ice,ppopsk,
	8	$ ptimestep,pcapcal,lecrit,
	9	$ pplay,pplev,pzlay,pzlev,pz0,
	10	$ pu,pv,ph,pq,ptsrf,pemis,pqsurf,
	11	$ pdufi,pdvfi,pdhfi,pdqfi,pfluxsrf,
	12	$ pdudif,pdvdif,pdhdif,pdtsrf,pq2,
[660]	13	$ pdqdif,pdqsdif,wstar,zcdv_true,zcdh_true,
[1996]	14	$ hfmax,pcondicea_co2microp,sensibFlux,
	15	$ dustliftday,local_time)
[1236]	16
[1036]	17	use tracer_mod, only: noms, igcm_dust_mass, igcm_dust_number,
	18	& igcm_dust_submicron, igcm_h2o_vap,
[1974]	19	& igcm_h2o_ice, alpha_lift,
	20	& igcm_stormdust_mass, igcm_stormdust_number
[1224]	21	use surfdat_h, only: watercaptag, frost_albedo_threshold, dryness
[1969]	22	USE comcstfi_h, ONLY: cpp, r, rcp, g
[1996]	23	use watersat_mod, only: watersat
[1242]	24	use turb_mod, only: turb_resolved, ustar, tstar
[1974]	25	use compute_dtau_mod, only: ti_injection,tf_injection
[38]	26	IMPLICIT NONE
	27
	28	c=======================================================================
	29	c
	30	c subject:
	31	c --------
	32	c Turbulent diffusion (mixing) for potential T, U, V and tracer
	33	c
	34	c Shema implicite
	35	c On commence par rajouter au variables x la tendance physique
	36	c et on resoult en fait:
	37	c x(t+1) = x(t) + dt * (dx/dt)phys(t) + dt * (dx/dt)difv(t+1)
	38	c
	39	c author:
	40	c ------
	41	c Hourdin/Forget/Fournier
	42	c=======================================================================
	43
	44	c-----------------------------------------------------------------------
	45	c declarations:
	46	c -------------
	47
[1944]	48	include "callkeys.h"
	49	include "microphys.h"
[38]	50
	51	c
	52	c arguments:
	53	c ----------
	54
[1036]	55	INTEGER,INTENT(IN) :: ngrid,nlay
	56	REAL,INTENT(IN) :: ptimestep
	57	REAL,INTENT(IN) :: pplay(ngrid,nlay),pplev(ngrid,nlay+1)
	58	REAL,INTENT(IN) :: pzlay(ngrid,nlay),pzlev(ngrid,nlay+1)
	59	REAL,INTENT(IN) :: pu(ngrid,nlay),pv(ngrid,nlay)
	60	REAL,INTENT(IN) :: ph(ngrid,nlay)
	61	REAL,INTENT(IN) :: ptsrf(ngrid),pemis(ngrid)
	62	REAL,INTENT(IN) :: pdufi(ngrid,nlay),pdvfi(ngrid,nlay)
	63	REAL,INTENT(IN) :: pdhfi(ngrid,nlay)
	64	REAL,INTENT(IN) :: pfluxsrf(ngrid)
	65	REAL,INTENT(OUT) :: pdudif(ngrid,nlay),pdvdif(ngrid,nlay)
	66	REAL,INTENT(OUT) :: pdtsrf(ngrid),pdhdif(ngrid,nlay)
[1130]	67	REAL,INTENT(IN) :: pcapcal(ngrid)
	68	REAL,INTENT(INOUT) :: pq2(ngrid,nlay+1)
[38]	69
	70	c Argument added for condensation:
[1036]	71	REAL,INTENT(IN) :: co2ice (ngrid), ppopsk(ngrid,nlay)
	72	logical,INTENT(IN) :: lecrit
[1996]	73	REAL,INTENT(IN) :: pcondicea_co2microp(ngrid,nlay)! tendency due to CO2 condensation (kg/kg.s-1)
	74
[1036]	75	REAL,INTENT(IN) :: pz0(ngrid) ! surface roughness length (m)
[224]	76
[256]	77	c Argument added to account for subgrid gustiness :
	78
[1944]	79	REAL,INTENT(IN) :: wstar(ngrid), hfmax(ngrid)!, zi(ngrid)
[256]	80
[38]	81	c Traceurs :
[1036]	82	integer,intent(in) :: nq
	83	REAL,INTENT(IN) :: pqsurf(ngrid,nq)
	84	real,intent(in) :: pq(ngrid,nlay,nq), pdqfi(ngrid,nlay,nq)
	85	real,intent(out) :: pdqdif(ngrid,nlay,nq)
[1974]	86	real,intent(out) :: pdqsdif(ngrid,nq)
	87	REAL,INTENT(in) :: dustliftday(ngrid)
	88	REAL,INTENT(in) :: local_time(ngrid)
[38]	89
	90	c local:
	91	c ------
	92
[1130]	93	REAL :: pt(ngrid,nlay)
[473]	94
[38]	95	INTEGER ilev,ig,ilay,nlev
	96
[1047]	97	REAL z4st,zdplanck(ngrid)
	98	REAL zkv(ngrid,nlay+1),zkh(ngrid,nlay+1)
	99	REAL zkq(ngrid,nlay+1)
	100	REAL zcdv(ngrid),zcdh(ngrid)
	101	REAL zcdv_true(ngrid),zcdh_true(ngrid) ! drag coeff are used by the LES to recompute u* and hfx
	102	REAL zu(ngrid,nlay),zv(ngrid,nlay)
	103	REAL zh(ngrid,nlay)
	104	REAL ztsrf2(ngrid)
	105	REAL z1(ngrid),z2(ngrid)
	106	REAL za(ngrid,nlay),zb(ngrid,nlay)
	107	REAL zb0(ngrid,nlay)
	108	REAL zc(ngrid,nlay),zd(ngrid,nlay)
[38]	109	REAL zcst1
[1047]	110	REAL zu2(ngrid)
[38]	111
	112	EXTERNAL SSUM,SCOPY
	113	REAL SSUM
[1036]	114	LOGICAL,SAVE :: firstcall=.true.
[38]	115
[626]	116
[38]	117	c variable added for CO2 condensation:
	118	c ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[1047]	119	REAL hh , zhcond(ngrid,nlay)
	120	REAL,PARAMETER :: latcond=5.9e5
	121	REAL,PARAMETER :: tcond1mb=136.27
	122	REAL,SAVE :: acond,bcond
[669]	123
	124	c For latent heat release from ground ice sublimation
[1047]	125	! REAL tsrf_lw(ngrid)
[1036]	126	! REAL alpha
[669]	127	REAL T1,T2
	128	SAVE T1,T2
[734]	129	DATA T1,T2/-604.3,1080.7/ ! zeros of latent heat equation for ice
[38]	130
	131	c Tracers :
	132	c ~~~~~~~
	133	INTEGER iq
[1047]	134	REAL zq(ngrid,nlay,nq)
	135	REAL zq1temp(ngrid)
	136	REAL rho(ngrid) ! near surface air density
	137	REAL qsat(ngrid)
[38]	138
	139	REAL kmixmin
	140
[473]	141	c Mass-variation scheme :
	142	c ~~~~~~~
	143
	144	INTEGER j,l
[1047]	145	REAL zcondicea(ngrid,nlay)
	146	REAL zt(ngrid,nlay),ztcond(ngrid,nlay+1)
	147	REAL betam(ngrid,nlay),dmice(ngrid,nlay)
	148	REAL pdtc(ngrid,nlay)
	149	REAL zhs(ngrid,nlay)
	150	REAL,SAVE :: ccond
[473]	151
	152	c Theta_m formulation for mass-variation scheme :
	153	c ~~~~~~~
	154
[1047]	155	INTEGER,SAVE :: ico2
	156	INTEGER llnt(ngrid)
	157	REAL,SAVE :: m_co2, m_noco2, A , B
	158	REAL vmr_co2(ngrid,nlay)
[473]	159	REAL qco2,mmean
	160
[1047]	161	REAL,INTENT(OUT) :: sensibFlux(ngrid)
[660]	162
[38]	163	c ** un petit test de coherence
	164	c --------------------------
	165
[1779]	166	! AS: OK firstcall absolute
[38]	167	IF (firstcall) THEN
	168	c To compute: Tcond= 1./(bcond-acondlog(.0095p)) (p in pascal)
	169	bcond=1./tcond1mb
	170	acond=r/latcond
[473]	171	ccond=cpp/(g*latcond)
[38]	172	PRINT*,'In vdifc: Tcond(P=1mb)=',tcond1mb,' Lcond=',latcond
[473]	173	PRINT*,' acond,bcond,ccond',acond,bcond,ccond
[38]	174
[473]	175
	176	ico2=0
	177
	178	if (tracer) then
	179	c Prepare Special treatment if one of the tracer is CO2 gas
[1036]	180	do iq=1,nq
[473]	181	if (noms(iq).eq."co2") then
	182	ico2=iq
	183	m_co2 = 44.01E-3 ! CO2 molecular mass (kg/mol)
	184	m_noco2 = 33.37E-3 ! Non condensible mol mass (kg/mol)
	185	c Compute A and B coefficient use to compute
	186	c mean molecular mass Mair defined by
	187	c 1/Mair = q(ico2)/m_co2 + (1-q(ico2))/m_noco2
	188	c 1/Mair = A*q(ico2) + B
	189	A =(1/m_co2 - 1/m_noco2)
	190	B=1/m_noco2
	191	endif
	192	enddo
	193	end if
	194
[38]	195	firstcall=.false.
	196	ENDIF
	197
	198
	199	c-----------------------------------------------------------------------
	200	c 1. initialisation
	201	c -----------------
	202
	203	nlev=nlay+1
	204
[1035]	205	! initialize output tendencies to zero:
	206	pdudif(1:ngrid,1:nlay)=0
	207	pdvdif(1:ngrid,1:nlay)=0
	208	pdhdif(1:ngrid,1:nlay)=0
	209	pdtsrf(1:ngrid)=0
	210	pdqdif(1:ngrid,1:nlay,1:nq)=0
	211	pdqsdif(1:ngrid,1:nq)=0
	212
[38]	213	c ** calcul de rhodz et dtrho/dz=dtrho*2 g/dp
	214	c avec rho=p/RT=p/ (R Theta) (p/ps)**kappa
	215	c ----------------------------------------
	216
	217	DO ilay=1,nlay
	218	DO ig=1,ngrid
	219	za(ig,ilay)=(pplev(ig,ilay)-pplev(ig,ilay+1))/g
[473]	220	! Mass variation scheme:
	221	betam(ig,ilay)=-za(ig,ilay)latcond/(cppppopsk(ig,ilay))
[38]	222	ENDDO
	223	ENDDO
	224
	225	zcst1=4.gptimestep/(r*r)
	226	DO ilev=2,nlev-1
	227	DO ig=1,ngrid
	228	zb0(ig,ilev)=pplev(ig,ilev)*
	229	s (pplev(ig,1)/pplev(ig,ilev))**rcp /
	230	s (ph(ig,ilev-1)+ph(ig,ilev))
	231	zb0(ig,ilev)=zcst1zb0(ig,ilev)zb0(ig,ilev)/
	232	s (pplay(ig,ilev-1)-pplay(ig,ilev))
	233	ENDDO
	234	ENDDO
	235	DO ig=1,ngrid
[473]	236	zb0(ig,1)=ptimesteppplev(ig,1)/(rptsrf(ig))
[38]	237	ENDDO
	238
	239	c ** diagnostique pour l'initialisation
	240	c ----------------------------------
	241
	242	IF(lecrit) THEN
	243	ig=ngrid/2+1
	244	PRINT*,'Pression (mbar) ,altitude (km),u,v,theta, rho dz'
	245	DO ilay=1,nlay
	246	WRITE(*,'(6f11.5)')
	247	s .01pplay(ig,ilay),.001pzlay(ig,ilay),
	248	s pu(ig,ilay),pv(ig,ilay),ph(ig,ilay),za(ig,ilay)
	249	ENDDO
	250	PRINT*,'Pression (mbar) ,altitude (km),zb'
	251	DO ilev=1,nlay
	252	WRITE(*,'(3f15.7)')
	253	s .01pplev(ig,ilev),.001pzlev(ig,ilev),
	254	s zb0(ig,ilev)
	255	ENDDO
	256	ENDIF
	257
[473]	258	c -----------------------------------
[38]	259	c Potential Condensation temperature:
	260	c -----------------------------------
	261
[473]	262	c Compute CO2 Volume mixing ratio
	263	c -------------------------------
	264	if (callcond.and.(ico2.ne.0)) then
	265	DO ilev=1,nlay
	266	DO ig=1,ngrid
[529]	267	qco2=MAX(1.E-30
	268	& ,pq(ig,ilev,ico2)+pdqfi(ig,ilev,ico2)*ptimestep)
[473]	269	c Mean air molecular mass = 1/(q(ico2)/m_co2 + (1-q(ico2))/m_noco2)
	270	mmean=1/(A*qco2 +B)
	271	vmr_co2(ig,ilev) = qco2*mmean/m_co2
	272	ENDDO
	273	ENDDO
	274	else
	275	DO ilev=1,nlay
	276	DO ig=1,ngrid
	277	vmr_co2(ig,ilev)=0.95
	278	ENDDO
	279	ENDDO
	280	end if
[38]	281
[473]	282	c forecast of atmospheric temperature zt and frost temperature ztcond
	283	c --------------------------------------------------------------------
[38]	284
[473]	285	if (callcond) then
	286	DO ilev=1,nlay
	287	DO ig=1,ngrid
[884]	288	ztcond(ig,ilev)=
	289	& 1./(bcond-acondlog(.01vmr_co2(ig,ilev)*pplay(ig,ilev)))
	290	if (pplay(ig,ilev).lt.1e-4) ztcond(ig,ilev)=0.0 !mars Monica
[473]	291	! zhcond(ig,ilev) =
	292	! & (1./(bcond-acondlog(.0095pplay(ig,ilev))))/ppopsk(ig,ilev)
	293	zhcond(ig,ilev) = ztcond(ig,ilev)/ppopsk(ig,ilev)
	294	END DO
	295	END DO
[884]	296	ztcond(:,nlay+1)=ztcond(:,nlay)
[473]	297	else
[884]	298	zhcond(:,:) = 0
	299	ztcond(:,:) = 0
[473]	300	end if
	301
	302
[38]	303	c-----------------------------------------------------------------------
	304	c 2. ajout des tendances physiques
	305	c -----------------------------
	306
	307	DO ilev=1,nlay
	308	DO ig=1,ngrid
	309	zu(ig,ilev)=pu(ig,ilev)+pdufi(ig,ilev)*ptimestep
	310	zv(ig,ilev)=pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep
	311	zh(ig,ilev)=ph(ig,ilev)+pdhfi(ig,ilev)*ptimestep
[473]	312	! zh(ig,ilev)=max(zh(ig,ilev),zhcond(ig,ilev))
[38]	313	ENDDO
	314	ENDDO
	315	if(tracer) then
	316	DO iq =1, nq
	317	DO ilev=1,nlay
	318	DO ig=1,ngrid
	319	zq(ig,ilev,iq)=pq(ig,ilev,iq)+pdqfi(ig,ilev,iq)*ptimestep
	320	ENDDO
	321	ENDDO
	322	ENDDO
	323	end if
	324
	325	c-----------------------------------------------------------------------
	326	c 3. schema de turbulence
	327	c --------------------
	328
	329	c ** source d'energie cinetique turbulente a la surface
	330	c (condition aux limites du schema de diffusion turbulente
	331	c dans la couche limite
	332	c ---------------------
	333
[499]	334	CALL vdif_cd(ngrid,nlay,pz0,g,pzlay,pu,pv,wstar,ptsrf,ph
[1236]	335	& ,zcdv_true,zcdh_true)
[256]	336
[290]	337	zu2(:)=pu(:,1)pu(:,1)+pv(:,1)pv(:,1)
[256]	338
[291]	339	IF (callrichsl) THEN
[545]	340	zcdv(:)=zcdv_true(:)*sqrt(zu2(:)+
	341	& (log(1.+0.7wstar(:) + 2.3wstar(:)2))2)
	342	zcdh(:)=zcdh_true(:)*sqrt(zu2(:)+
	343	& (log(1.+0.7wstar(:) + 2.3wstar(:)2))2)
[496]	344
[1242]	345	ustar(:)=sqrt(zcdv_true(:))*sqrt(zu2(:)+
[545]	346	& (log(1.+0.7wstar(:) + 2.3wstar(:)2))2)
	347
[1242]	348	tstar(:)=0.
[545]	349	DO ig=1,ngrid
	350	IF (zcdh_true(ig) .ne. 0.) THEN ! When Cd=Ch=0, u=t=0
[1242]	351	tstar(ig)=(ph(ig,1)-ptsrf(ig))*zcdh(ig)/ustar(ig)
[545]	352	ENDIF
	353	ENDDO
	354
[284]	355	ELSE
[545]	356	zcdv(:)=zcdv_true(:)*sqrt(zu2(:)) ! 1 / bulk aerodynamic momentum conductance
	357	zcdh(:)=zcdh_true(:)*sqrt(zu2(:)) ! 1 / bulk aerodynamic heat conductance
[1242]	358	ustar(:)=sqrt(zcdv_true(:))*sqrt(zu2(:))
	359	tstar(:)=(ph(:,1)-ptsrf(:))*zcdh_true(:)/sqrt(zcdv_true(:))
[290]	360	ENDIF
[38]	361
[529]	362	! Some usefull diagnostics for the new surface layer parametrization :
[290]	363
[1130]	364	! call WRITEDIAGFI(ngrid,'vdifc_zcdv_true',
[256]	365	! & 'momentum drag','no units',
	366	! & 2,zcdv_true)
[1130]	367	! call WRITEDIAGFI(ngrid,'vdifc_zcdh_true',
[256]	368	! & 'heat drag','no units',
	369	! & 2,zcdh_true)
[1130]	370	! call WRITEDIAGFI(ngrid,'vdifc_ust',
[473]	371	! & 'friction velocity','m/s',2,ust)
[1130]	372	! call WRITEDIAGFI(ngrid,'vdifc_tst',
[473]	373	! & 'friction temperature','K',2,tst)
[1130]	374	! call WRITEDIAGFI(ngrid,'vdifc_zcdv',
[268]	375	! & 'aerodyn momentum conductance','m/s',
[256]	376	! & 2,zcdv)
[1130]	377	! call WRITEDIAGFI(ngrid,'vdifc_zcdh',
[268]	378	! & 'aerodyn heat conductance','m/s',
[256]	379	! & 2,zcdh)
	380
[38]	381	c ** schema de diffusion turbulente dans la couche limite
	382	c ----------------------------------------------------
[1240]	383	IF (.not. callyamada4) THEN
[529]	384
[1130]	385	CALL vdif_kc(ngrid,nlay,nq,ptimestep,g,pzlev,pzlay
[38]	386	& ,pu,pv,ph,zcdv_true
[325]	387	& ,pq2,zkv,zkh,zq)
[529]	388
[544]	389	ELSE
[38]	390
[555]	391	pt(:,:)=ph(:,:)*ppopsk(:,:)
[1036]	392	CALL yamada4(ngrid,nlay,nq,ptimestep,g,r,pplev,pt
[1242]	393	s ,pzlev,pzlay,pu,pv,ph,pq,zcdv_true,pq2,zkv,zkh,zkq,ustar
[652]	394	s ,9)
[544]	395	ENDIF
	396
[38]	397	if ((doubleq).and.(ngrid.eq.1)) then
	398	kmixmin = 80. !80.! minimum eddy mix coeff in 1D
	399	do ilev=1,nlay
	400	do ig=1,ngrid
	401	zkh(ig,ilev) = max(kmixmin,zkh(ig,ilev))
	402	zkv(ig,ilev) = max(kmixmin,zkv(ig,ilev))
	403	end do
	404	end do
	405	end if
	406
	407	c ** diagnostique pour le schema de turbulence
	408	c -----------------------------------------
	409
	410	IF(lecrit) THEN
	411	PRINT*
	412	PRINT*,'Diagnostic for the vertical turbulent mixing'
	413	PRINT*,'Cd for momentum and potential temperature'
	414
	415	PRINT*,zcdv(ngrid/2+1),zcdh(ngrid/2+1)
	416	PRINT*,'Mixing coefficient for momentum and pot.temp.'
	417	DO ilev=1,nlay
	418	PRINT*,zkv(ngrid/2+1,ilev),zkh(ngrid/2+1,ilev)
	419	ENDDO
	420	ENDIF
	421
	422
	423
	424
	425	c-----------------------------------------------------------------------
	426	c 4. inversion pour l'implicite sur u
	427	c --------------------------------
	428
	429	c ** l'equation est
	430	c u(t+1) = u(t) + dt * {(du/dt)phys}(t) + dt * {(du/dt)difv}(t+1)
	431	c avec
	432	c /zu/ = u(t) + dt * {(du/dt)phys}(t) (voir paragraphe 2.)
	433	c et
	434	c dt * {(du/dt)difv}(t+1) = dt * {(d/dz)[ Ku (du/dz) ]}(t+1)
	435	c donc les entrees sont /zcdv/ pour la condition a la limite sol
	436	c et /zkv/ = Ku
	437
	438	CALL multipl((nlay-1)*ngrid,zkv(1,2),zb0(1,2),zb(1,2))
	439	CALL multipl(ngrid,zcdv,zb0,zb)
	440
	441	DO ig=1,ngrid
	442	z1(ig)=1./(za(ig,nlay)+zb(ig,nlay))
	443	zc(ig,nlay)=za(ig,nlay)zu(ig,nlay)z1(ig)
	444	zd(ig,nlay)=zb(ig,nlay)*z1(ig)
	445	ENDDO
	446
	447	DO ilay=nlay-1,1,-1
	448	DO ig=1,ngrid
	449	z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+
	450	$ zb(ig,ilay+1)*(1.-zd(ig,ilay+1)))
	451	zc(ig,ilay)=(za(ig,ilay)*zu(ig,ilay)+
	452	$ zb(ig,ilay+1)zc(ig,ilay+1))z1(ig)
	453	zd(ig,ilay)=zb(ig,ilay)*z1(ig)
	454	ENDDO
	455	ENDDO
	456
	457	DO ig=1,ngrid
	458	zu(ig,1)=zc(ig,1)
	459	ENDDO
	460	DO ilay=2,nlay
	461	DO ig=1,ngrid
	462	zu(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zu(ig,ilay-1)
	463	ENDDO
	464	ENDDO
	465
	466
	467
	468
	469
	470	c-----------------------------------------------------------------------
	471	c 5. inversion pour l'implicite sur v
	472	c --------------------------------
	473
	474	c ** l'equation est
	475	c v(t+1) = v(t) + dt * {(dv/dt)phys}(t) + dt * {(dv/dt)difv}(t+1)
	476	c avec
	477	c /zv/ = v(t) + dt * {(dv/dt)phys}(t) (voir paragraphe 2.)
	478	c et
	479	c dt * {(dv/dt)difv}(t+1) = dt * {(d/dz)[ Kv (dv/dz) ]}(t+1)
	480	c donc les entrees sont /zcdv/ pour la condition a la limite sol
	481	c et /zkv/ = Kv
	482
	483	DO ig=1,ngrid
	484	z1(ig)=1./(za(ig,nlay)+zb(ig,nlay))
	485	zc(ig,nlay)=za(ig,nlay)zv(ig,nlay)z1(ig)
	486	zd(ig,nlay)=zb(ig,nlay)*z1(ig)
	487	ENDDO
	488
	489	DO ilay=nlay-1,1,-1
	490	DO ig=1,ngrid
	491	z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+
	492	$ zb(ig,ilay+1)*(1.-zd(ig,ilay+1)))
	493	zc(ig,ilay)=(za(ig,ilay)*zv(ig,ilay)+
	494	$ zb(ig,ilay+1)zc(ig,ilay+1))z1(ig)
	495	zd(ig,ilay)=zb(ig,ilay)*z1(ig)
	496	ENDDO
	497	ENDDO
	498
	499	DO ig=1,ngrid
	500	zv(ig,1)=zc(ig,1)
	501	ENDDO
	502	DO ilay=2,nlay
	503	DO ig=1,ngrid
	504	zv(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zv(ig,ilay-1)
	505	ENDDO
	506	ENDDO
	507
	508
	509
	510
	511
	512	c-----------------------------------------------------------------------
	513	c 6. inversion pour l'implicite sur h sans oublier le couplage
	514	c avec le sol (conduction)
	515	c ------------------------
	516
	517	c ** l'equation est
	518	c h(t+1) = h(t) + dt * {(dh/dt)phys}(t) + dt * {(dh/dt)difv}(t+1)
	519	c avec
	520	c /zh/ = h(t) + dt * {(dh/dt)phys}(t) (voir paragraphe 2.)
	521	c et
	522	c dt * {(dh/dt)difv}(t+1) = dt * {(d/dz)[ Kh (dh/dz) ]}(t+1)
	523	c donc les entrees sont /zcdh/ pour la condition de raccord au sol
	524	c et /zkh/ = Kh
	525	c -------------
	526
[473]	527	c Mass variation scheme:
[38]	528	CALL multipl((nlay-1)*ngrid,zkh(1,2),zb0(1,2),zb(1,2))
	529	CALL multipl(ngrid,zcdh,zb0,zb)
	530
[473]	531	c on initialise dm c
	532
	533	pdtc(:,:)=0.
	534	zt(:,:)=0.
	535	dmice(:,:)=0.
[38]	536
	537	c ** calcul de (d Planck / dT) a la temperature d'interface
	538	c ------------------------------------------------------
	539
	540	z4st=4.5.67e-8ptimestep
[544]	541	IF (tke_heat_flux .eq. 0.) THEN
[38]	542	DO ig=1,ngrid
	543	zdplanck(ig)=z4stpemis(ig)ptsrf(ig)ptsrf(ig)ptsrf(ig)
	544	ENDDO
[544]	545	ELSE
	546	zdplanck(:)=0.
	547	ENDIF
[38]	548
[473]	549	! calcul de zc et zd pour la couche top en prenant en compte le terme
[2080]	550	! de variation de masse (on fait une boucle pour que \E7a converge)
[473]	551
	552	! Identification des points de grilles qui ont besoin de la correction
	553
	554	llnt(:)=1
[1236]	555	IF (.not.turb_resolved) THEN
[884]	556	IF (callcond) THEN
	557	DO ig=1,ngrid
[473]	558	DO l=1,nlay
	559	if(zh(ig,l) .lt. zhcond(ig,l)) then
	560	llnt(ig)=300
	561	! 200 and 100 do not go beyond month 9 with normal dissipation
	562	goto 5
	563	endif
	564	ENDDO
[884]	565	5 continue
	566	ENDDO
	567	ENDIF
[473]	568
[529]	569	ENDIF
	570
[473]	571	DO ig=1,ngrid
	572
	573	! Initialization of z1 and zd, which do not depend on dmice
	574
	575	z1(ig)=1./(za(ig,nlay)+zb(ig,nlay))
	576	zd(ig,nlay)=zb(ig,nlay)*z1(ig)
	577
	578	DO ilay=nlay-1,1,-1
	579	z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+
	580	$ zb(ig,ilay+1)*(1.-zd(ig,ilay+1)))
	581	zd(ig,ilay)=zb(ig,ilay)*z1(ig)
	582	ENDDO
	583
	584	! Convergence loop
	585
	586	DO j=1,llnt(ig)
	587
	588	z1(ig)=1./(za(ig,nlay)+zb(ig,nlay))
	589	zc(ig,nlay)=za(ig,nlay)*zh(ig,nlay)
	590	& -betam(ig,nlay)*dmice(ig,nlay)
	591	zc(ig,nlay)=zc(ig,nlay)*z1(ig)
	592	! zd(ig,nlay)=zb(ig,nlay)*z1(ig)
	593
	594	! calcul de zc et zd pour les couches du haut vers le bas
	595
	596	DO ilay=nlay-1,1,-1
	597	z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+
	598	$ zb(ig,ilay+1)*(1.-zd(ig,ilay+1)))
	599	zc(ig,ilay)=(za(ig,ilay)*zh(ig,ilay)+
	600	$ zb(ig,ilay+1)*zc(ig,ilay+1)-
	601	$ betam(ig,ilay)dmice(ig,ilay))z1(ig)
	602	! zd(ig,ilay)=zb(ig,ilay)*z1(ig)
	603	ENDDO
	604
[38]	605	c ** calcul de la temperature_d'interface et de sa tendance.
	606	c on ecrit que la somme des flux est nulle a l'interface
	607	c a t + \delta t,
	608	c c'est a dire le flux radiatif a {t + \delta t}
	609	c + le flux turbulent a {t + \delta t}
	610	c qui s'ecrit K (T1-Tsurf) avec T1 = d1 Tsurf + c1
	611	c (notation K dt = /cpp*b/)
	612	c + le flux dans le sol a t
	613	c + l'evolution du flux dans le sol lorsque la temperature d'interface
	614	c passe de sa valeur a t a sa valeur a {t + \delta t}.
	615	c ----------------------------------------------------
	616
	617	z1(ig)=pcapcal(ig)ptsrf(ig)+cppzb(ig,1)*zc(ig,1)
	618	s +zdplanck(ig)ptsrf(ig)+ pfluxsrf(ig)ptimestep
	619	z2(ig)= pcapcal(ig)+cppzb(ig,1)(1.-zd(ig,1))+zdplanck(ig)
	620	ztsrf2(ig)=z1(ig)/z2(ig)
[473]	621	! pdtsrf(ig)=(ztsrf2(ig)-ptsrf(ig))/ptimestep !incremented outside loop
	622	zhs(ig,1)=zc(ig,1)+zd(ig,1)*ztsrf2(ig)
[38]	623
	624	c ** et a partir de la temperature au sol on remonte
	625	c -----------------------------------------------
	626
[473]	627	DO ilay=2,nlay
	628	zhs(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zhs(ig,ilay-1)
	629	ENDDO
	630	DO ilay=1,nlay
	631	zt(ig,ilay)=zhs(ig,ilay)*ppopsk(ig,ilay)
	632	ENDDO
	633
	634	c Condensation/sublimation in the atmosphere
	635	c ------------------------------------------
	636	c (computation of zcondicea and dmice)
	637
[1996]	638	IF (.NOT. co2clouds) then
	639	DO l=nlay , 1, -1
[473]	640	IF(zt(ig,l).LT.ztcond(ig,l)) THEN
	641	pdtc(ig,l)=(ztcond(ig,l) - zt(ig,l))/ptimestep
	642	zcondicea(ig,l)=(pplev(ig,l)-pplev(ig,l+1))
	643	& ccondpdtc(ig,l)
	644	dmice(ig,l)= dmice(ig,l) + zcondicea(ig,l)*ptimestep
	645	END IF
[1996]	646	ENDDO
	647	ELSE
	648	DO l=nlay , 1, -1
	649	zcondicea(ig,l)= 0.!pcondicea_co2microp(ig,l)*
	650	c & (pplev(ig,l) - pplev(ig,l+1))/g
	651	dmice(ig,l)= 0.!dmice(ig,l) + zcondicea(ig,l)*ptimestep
	652	pdtc(ig,l)=0.
	653	ENDDO
	654	ENDIF
	655
	656	ENDDO!of Do j=1,XXX
[38]	657
[1996]	658	ENDDO !of Do ig=1,ngrid
[38]	659
[473]	660	pdtsrf(:)=(ztsrf2(:)-ptsrf(:))/ptimestep
[669]	661
[660]	662	DO ig=1,ngrid ! computing sensible heat flux (atm => surface)
	663	sensibFlux(ig)=cppzb(ig,1)/ptimestep(zhs(ig,1)-ztsrf2(ig))
	664	ENDDO
[473]	665
[38]	666	c-----------------------------------------------------------------------
	667	c TRACERS
	668	c -------
	669
	670	if(tracer) then
	671
	672	c Using the wind modified by friction for lifting and sublimation
	673	c ----------------------------------------------------------------
	674
[529]	675	! This is computed above and takes into account surface-atmosphere flux
	676	! enhancement by subgrid gustiness and atmospheric-stability related
	677	! variations of transfer coefficients.
	678
	679	! DO ig=1,ngrid
	680	! zu2(ig)=zu(ig,1)zu(ig,1)+zv(ig,1)zv(ig,1)
	681	! zcdv(ig)=zcdv_true(ig)*sqrt(zu2(ig))
	682	! zcdh(ig)=zcdh_true(ig)*sqrt(zu2(ig))
	683	! ENDDO
	684
[38]	685	c Calcul du flux vertical au bas de la premiere couche (dust) :
	686	c -----------------------------------------------------------
[1047]	687	do ig=1,ngrid
[38]	688	rho(ig) = zb0(ig,1) /ptimestep
	689	c zb(ig,1) = 0.
	690	end do
	691	c Dust lifting:
	692	if (lifting) then
[310]	693	#ifndef MESOSCALE
[38]	694	if (doubleq.AND.submicron) then
	695	do ig=1,ngrid
	696	c if(co2ice(ig).lt.1) then
	697	pdqsdif(ig,igcm_dust_mass) =
	698	& -alpha_lift(igcm_dust_mass)
	699	pdqsdif(ig,igcm_dust_number) =
	700	& -alpha_lift(igcm_dust_number)
	701	pdqsdif(ig,igcm_dust_submicron) =
	702	& -alpha_lift(igcm_dust_submicron)
	703	c end if
	704	end do
	705	else if (doubleq) then
[1974]	706	if (dustinjection.eq.0) then !injection scheme 0 (old)
	707	!or 2 (injection in CL)
	708	do ig=1,ngrid
[1455]	709	if(co2ice(ig).lt.1) then ! pas de soulevement si glace CO2
[38]	710	pdqsdif(ig,igcm_dust_mass) =
	711	& -alpha_lift(igcm_dust_mass)
	712	pdqsdif(ig,igcm_dust_number) =
[520]	713	& -alpha_lift(igcm_dust_number)
	714	end if
[1974]	715	end do
	716	elseif(dustinjection.eq.1)then ! dust injection scheme = 1 injection from surface
	717	do ig=1,ngrid
	718	if(co2ice(ig).lt.1) then ! pas de soulevement si glace CO2
	719	IF((ti_injection.LE.local_time(ig)).and.
	720	& (local_time(ig).LE.tf_injection)) THEN
	721	if (rdstorm) then !Rocket dust storm scheme
	722	pdqsdif(ig,igcm_stormdust_mass) =
	723	& -alpha_lift(igcm_stormdust_mass)
	724	& *dustliftday(ig)
	725	pdqsdif(ig,igcm_stormdust_number) =
	726	& -alpha_lift(igcm_stormdust_number)
	727	& *dustliftday(ig)
	728	pdqsdif(ig,igcm_dust_mass)= 0.
	729	pdqsdif(ig,igcm_dust_number)= 0.
	730	else
	731	pdqsdif(ig,igcm_dust_mass)=
	732	& -dustliftday(ig)*
	733	& alpha_lift(igcm_dust_mass)
	734	pdqsdif(ig,igcm_dust_number)=
	735	& -dustliftday(ig)*
	736	& alpha_lift(igcm_dust_number)
	737	endif
	738	if (submicron) then
	739	pdqsdif(ig,igcm_dust_submicron) = 0.
	740	endif ! if (submicron)
	741	ELSE ! outside dust injection time frame
[2080]	742	pdqsdif(ig,igcm_dust_mass)= 0.
	743	pdqsdif(ig,igcm_dust_number)= 0.
	744	if (rdstorm) then
[1974]	745	pdqsdif(ig,igcm_stormdust_mass)= 0.
	746	pdqsdif(ig,igcm_stormdust_number)= 0.
[2080]	747	end if
[1974]	748	ENDIF
	749
	750	end if ! of if(co2ice(ig).lt.1)
	751	end do
	752	endif ! end if dustinjection
[38]	753	else if (submicron) then
	754	do ig=1,ngrid
	755	pdqsdif(ig,igcm_dust_submicron) =
	756	& -alpha_lift(igcm_dust_submicron)
	757	end do
	758	else
[1236]	759	#endif
[38]	760	call dustlift(ngrid,nlay,nq,rho,zcdh_true,zcdh,co2ice,
	761	& pdqsdif)
[1236]	762	#ifndef MESOSCALE
[38]	763	endif !doubleq.AND.submicron
[310]	764	#endif
[38]	765	else
	766	pdqsdif(1:ngrid,1:nq) = 0.
	767	end if
	768
	769	c OU calcul de la valeur de q a la surface (water) :
	770	c ----------------------------------------
	771	if (water) then
[1047]	772	call watersat(ngrid,ptsrf,pplev(1,1),qsat)
[38]	773	end if
	774
	775	c Inversion pour l'implicite sur q
	776	c --------------------------------
[1974]	777	do iq=1,nq !for all tracers including stormdust
[38]	778	CALL multipl((nlay-1)*ngrid,zkh(1,2),zb0(1,2),zb(1,2))
	779
	780	if ((water).and.(iq.eq.igcm_h2o_vap)) then
	781	c This line is required to account for turbulent transport
	782	c from surface (e.g. ice) to mid-layer of atmosphere:
	783	CALL multipl(ngrid,zcdv,zb0,zb(1,1))
	784	CALL multipl(ngrid,dryness,zb(1,1),zb(1,1))
	785	else ! (re)-initialize zb(:,1)
	786	zb(1:ngrid,1)=0
	787	end if
	788
	789	DO ig=1,ngrid
	790	z1(ig)=1./(za(ig,nlay)+zb(ig,nlay))
	791	zc(ig,nlay)=za(ig,nlay)zq(ig,nlay,iq)z1(ig)
	792	zd(ig,nlay)=zb(ig,nlay)*z1(ig)
	793	ENDDO
	794
	795	DO ilay=nlay-1,2,-1
	796	DO ig=1,ngrid
	797	z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+
	798	$ zb(ig,ilay+1)*(1.-zd(ig,ilay+1)))
	799	zc(ig,ilay)=(za(ig,ilay)*zq(ig,ilay,iq)+
	800	$ zb(ig,ilay+1)zc(ig,ilay+1))z1(ig)
	801	zd(ig,ilay)=zb(ig,ilay)*z1(ig)
	802	ENDDO
	803	ENDDO
	804
	805	if (water.and.(iq.eq.igcm_h2o_ice)) then
	806	! special case for water ice tracer: do not include
	807	! h2o ice tracer from surface (which is set when handling
[473]	808	! h2o vapour case (see further down).
[38]	809	DO ig=1,ngrid
	810	z1(ig)=1./(za(ig,1)+zb(ig,1)+
	811	$ zb(ig,2)*(1.-zd(ig,2)))
	812	zc(ig,1)=(za(ig,1)*zq(ig,1,iq)+
	813	$ zb(ig,2)zc(ig,2)) z1(ig)
	814	ENDDO
	815	else ! general case
	816	DO ig=1,ngrid
	817	z1(ig)=1./(za(ig,1)+zb(ig,1)+
	818	$ zb(ig,2)*(1.-zd(ig,2)))
	819	zc(ig,1)=(za(ig,1)*zq(ig,1,iq)+
	820	$ zb(ig,2)*zc(ig,2) +
	821	$ (-pdqsdif(ig,iq)) ptimestep) z1(ig) !tracer flux from surface
	822	ENDDO
	823	endif ! of if (water.and.(iq.eq.igcm_h2o_ice))
	824
	825	IF ((water).and.(iq.eq.igcm_h2o_vap)) then
	826	c Calculation for turbulent exchange with the surface (for ice)
	827	DO ig=1,ngrid
	828	zd(ig,1)=zb(ig,1)*z1(ig)
	829	zq1temp(ig)=zc(ig,1)+ zd(ig,1)*qsat(ig)
	830
	831	pdqsdif(ig,igcm_h2o_ice)=rho(ig)dryness(ig)zcdv(ig)
	832	& *(zq1temp(ig)-qsat(ig))
	833	c write(,)'flux vers le sol=',pdqsdif(ig,nq)
	834	END DO
	835
	836	DO ig=1,ngrid
	837	if(.not.watercaptag(ig)) then
	838	if ((-pdqsdif(ig,igcm_h2o_ice)*ptimestep)
	839	& .gt.pqsurf(ig,igcm_h2o_ice)) then
	840	c write(,)'on sublime plus que qsurf!'
	841	pdqsdif(ig,igcm_h2o_ice)=
	842	& -pqsurf(ig,igcm_h2o_ice)/ptimestep
	843	c write(,)'flux vers le sol=',pdqsdif(ig,nq)
	844	z1(ig)=1./(za(ig,1)+ zb(ig,2)*(1.-zd(ig,2)))
	845	zc(ig,1)=(za(ig,1)*zq(ig,1,igcm_h2o_vap)+
	846	$ zb(ig,2)*zc(ig,2) +
	847	$ (-pdqsdif(ig,igcm_h2o_ice)) ptimestep) z1(ig)
	848	zq1temp(ig)=zc(ig,1)
	849	endif
	850	endif ! if (.not.watercaptag(ig))
	851	c Starting upward calculations for water :
[669]	852	zq(ig,1,igcm_h2o_vap)=zq1temp(ig)
	853
[742]	854	!c Take into account H2O latent heat in surface energy budget
	855	!c We solve dT/dt = (2834.3-0.28(T-To)-0.004(T-To)^2)1e3iceflux/cpp
	856	! tsrf_lw(ig) = ptsrf(ig) + pdtsrf(ig) *ptimestep
	857	!
	858	! alpha = exp(-4abs(T1-T2)pdqsdif(ig,igcm_h2o_ice)
	859	! & *ptimestep/pcapcal(ig))
	860	!
	861	! tsrf_lw(ig) = (tsrf_lw(ig)(T2-alphaT1)+T1T2(alpha-1))
	862	! & /(tsrf_lw(ig)(1-alpha)+alphaT2-T1) ! surface temperature at t+1
	863	!
	864	! pdtsrf(ig) = (tsrf_lw(ig)-ptsrf(ig))/ptimestep
[669]	865
	866	if(pqsurf(ig,igcm_h2o_ice)
	867	& +pdqsdif(ig,igcm_h2o_ice)*ptimestep
	868	& .gt.frost_albedo_threshold) ! if there is still ice, T cannot exceed To
	869	& pdtsrf(ig) = min(pdtsrf(ig),(To-ptsrf(ig))/ptimestep) ! ice melt case
	870
[38]	871	ENDDO ! of DO ig=1,ngrid
	872	ELSE
	873	c Starting upward calculations for simple mixing of tracer (dust)
	874	DO ig=1,ngrid
	875	zq(ig,1,iq)=zc(ig,1)
	876	ENDDO
	877	END IF ! of IF ((water).and.(iq.eq.igcm_h2o_vap))
	878
	879	DO ilay=2,nlay
	880	DO ig=1,ngrid
[626]	881	zq(ig,ilay,iq)=zc(ig,ilay)+zd(ig,ilay)*zq(ig,ilay-1,iq)
[38]	882	ENDDO
	883	ENDDO
	884	enddo ! of do iq=1,nq
	885	end if ! of if(tracer)
[669]	886
[38]	887
	888	c-----------------------------------------------------------------------
	889	c 8. calcul final des tendances de la diffusion verticale
	890	c ----------------------------------------------------
	891
	892	DO ilev = 1, nlay
	893	DO ig=1,ngrid
	894	pdudif(ig,ilev)=( zu(ig,ilev)-
	895	$ (pu(ig,ilev)+pdufi(ig,ilev)*ptimestep) )/ptimestep
	896	pdvdif(ig,ilev)=( zv(ig,ilev)-
	897	$ (pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep) )/ptimestep
[473]	898	hh = ph(ig,ilev)+pdhfi(ig,ilev)*ptimestep
	899	$ + (latcond*dmice(ig,ilev)/cpp)/ppopsk(ig,ilev)
	900	pdhdif(ig,ilev)=( zhs(ig,ilev)- hh )/ptimestep
[38]	901	ENDDO
	902	ENDDO
	903
	904	if (tracer) then
	905	DO iq = 1, nq
	906	DO ilev = 1, nlay
	907	DO ig=1,ngrid
	908	pdqdif(ig,ilev,iq)=(zq(ig,ilev,iq)-
	909	$ (pq(ig,ilev,iq) + pdqfi(ig,ilev,iq)*ptimestep))/ptimestep
	910	ENDDO
	911	ENDDO
	912	ENDDO
	913	end if
	914
	915	c ** diagnostique final
	916	c ------------------
	917
	918	IF(lecrit) THEN
	919	PRINT*,'In vdif'
	920	PRINT*,'Ts (t) and Ts (t+st)'
	921	WRITE(*,'(a10,3a15)')
	922	s 'theta(t)','theta(t+dt)','u(t)','u(t+dt)'
	923	PRINT*,ptsrf(ngrid/2+1),ztsrf2(ngrid/2+1)
	924	DO ilev=1,nlay
	925	WRITE(*,'(4f15.7)')
[473]	926	s ph(ngrid/2+1,ilev),zhs(ngrid/2+1,ilev),
[38]	927	s pu(ngrid/2+1,ilev),zu(ngrid/2+1,ilev)
	928
	929	ENDDO
	930	ENDIF
	931
[1036]	932	END SUBROUTINE vdifc
[1969]	933
	934	END MODULE vdifc_mod

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