! ! $Id: calfis.f90 5285 2024-10-28 13:33:29Z fairhead $ ! ! ! SUBROUTINE calfis(lafin, & jD_cur, jH_cur, & pucov, & pvcov, & pteta, & pq, & pmasse, & pps, & pp, & ppk, & pphis, & pphi, & pducov, & pdvcov, & pdteta, & pdq, & flxw, & pdufi, & pdvfi, & pdhfi, & pdqfi, & pdpsfi) ! ! Auteur : P. Le Van, F. Hourdin ! ......... USE iniprint_mod_h USE comgeom2_mod_h USE infotrac, ONLY: nqtot, tracers USE control_mod, ONLY: planet_type, nsplit_phys USE callphysiq_mod, ONLY: call_physiq USE comconst_mod, ONLY: cpp, daysec, dtphys, dtvr, kappa, pi USE comvert_mod, ONLY: preff, presnivs USE lmdz_cppkeys_wrapper, ONLY: CPPKEY_PHYS USE dimensions_mod, ONLY: iim, jjm, llm, ndm USE paramet_mod_h IMPLICIT NONE !======================================================================= ! ! 1. rearrangement des tableaux et transformation ! variables dynamiques > variables physiques ! 2. calcul des termes physiques ! 3. retransformation des tendances physiques en tendances dynamiques ! ! remarques: ! ---------- ! ! - les vents sont donnes dans la physique par leurs composantes ! naturelles. ! - la variable thermodynamique de la physique est une variable ! intensive : T ! pour la dynamique on prend T * ( preff / p(l) ) **kappa ! - les deux seules variables dependant de la geometrie necessaires ! pour la physique sont la latitude pour le rayonnement et ! l'aire de la maille quand on veut integrer une grandeur ! horizontalement. ! - les points de la physique sont les points scalaires de la ! la dynamique; numerotation: ! 1 pour le pole nord ! (jjm-1)*iim pour l'interieur du domaine ! ngridmx pour le pole sud ! ---> ngridmx=2+(jjm-1)*iim ! ! Input : ! ------- ! pucov covariant zonal velocity ! pvcov covariant meridional velocity ! pteta potential temperature ! pps surface pressure ! pmasse masse d'air dans chaque maille ! pts surface temperature (K) ! callrad clef d'appel au rayonnement ! ! Output : ! -------- ! pdufi tendency for the natural zonal velocity (ms-1) ! pdvfi tendency for the natural meridional velocity ! pdhfi tendency for the potential temperature ! pdtsfi tendency for the surface temperature ! ! pdtrad radiative tendencies \ both input ! pfluxrad radiative fluxes / and output ! !======================================================================= ! !----------------------------------------------------------------------- ! ! 0. Declarations : ! ------------------ INTEGER :: ngridmx PARAMETER( ngridmx = 2+(jjm-1)*iim - 1/jjm ) ! Arguments : ! ----------- LOGICAL,INTENT(IN) :: lafin ! .true. for the very last call to physics REAL,INTENT(IN):: jD_cur, jH_cur REAL,INTENT(IN) :: pvcov(iip1,jjm,llm) ! covariant meridional velocity REAL,INTENT(IN) :: pucov(iip1,jjp1,llm) ! covariant zonal velocity REAL,INTENT(IN) :: pteta(iip1,jjp1,llm) ! potential temperature REAL,INTENT(IN) :: pmasse(iip1,jjp1,llm) ! mass in each cell ! not used REAL,INTENT(IN) :: pq(iip1,jjp1,llm,nqtot) ! tracers REAL,INTENT(IN) :: pphis(iip1,jjp1) ! surface geopotential REAL,INTENT(IN) :: pphi(iip1,jjp1,llm) ! geopotential REAL,INTENT(IN) :: pdvcov(iip1,jjm,llm) ! dynamical tendency on vcov REAL,INTENT(IN) :: pducov(iip1,jjp1,llm) ! dynamical tendency on ucov REAL,INTENT(IN) :: pdteta(iip1,jjp1,llm) ! dynamical tendency on teta ! ! NB: pdteta is used only to compute pcvgt which is in fact not used... REAL,INTENT(IN) :: pdq(iip1,jjp1,llm,nqtot) ! dynamical tendency on tracers ! ! NB: pdq is only used to compute pcvgq which is in fact not used... REAL,INTENT(IN) :: pps(iip1,jjp1) ! surface pressure (Pa) REAL,INTENT(IN) :: pp(iip1,jjp1,llmp1) ! pressure at mesh interfaces (Pa) REAL,INTENT(IN) :: ppk(iip1,jjp1,llm) ! Exner at mid-layer REAL,INTENT(IN) :: flxw(iip1,jjp1,llm) ! Vertical mass flux on lower mesh interfaces (kg/s) (on llm because flxw(:,:,llm+1)=0) ! ! tendencies (in */s) from the physics REAL,INTENT(OUT) :: pdvfi(iip1,jjm,llm) ! tendency on covariant meridional wind REAL,INTENT(OUT) :: pdufi(iip1,jjp1,llm) ! tendency on covariant zonal wind REAL,INTENT(OUT) :: pdhfi(iip1,jjp1,llm) ! tendency on potential temperature (K/s) REAL,INTENT(OUT) :: pdqfi(iip1,jjp1,llm,nqtot) ! tendency on tracers REAL,INTENT(OUT) :: pdpsfi(iip1,jjp1) ! tendency on surface pressure (Pa/s) ! Local variables : ! ----------------- INTEGER :: i,j,l,ig0,ig,iq,itr REAL :: zpsrf(ngridmx) REAL :: zplev(ngridmx,llm+1),zplay(ngridmx,llm) REAL :: zphi(ngridmx,llm),zphis(ngridmx) ! REAL :: zrot(iip1,jjm,llm) ! AdlC May 2014 REAL :: zufi(ngridmx,llm), zvfi(ngridmx,llm) REAL :: zrfi(ngridmx,llm) ! relative wind vorticity REAL :: ztfi(ngridmx,llm),zqfi(ngridmx,llm,nqtot) REAL :: zpk(ngridmx,llm) ! REAL :: pcvgu(ngridmx,llm), pcvgv(ngridmx,llm) REAL :: pcvgt(ngridmx,llm), pcvgq(ngridmx,llm,2) ! REAL :: zdufi(ngridmx,llm),zdvfi(ngridmx,llm) REAL :: zdtfi(ngridmx,llm),zdqfi(ngridmx,llm,nqtot) REAL :: zdpsrf(ngridmx) ! REAL :: zdufic(ngridmx,llm),zdvfic(ngridmx,llm) REAL :: zdtfic(ngridmx,llm),zdqfic(ngridmx,llm,nqtot) REAL :: jH_cur_split,zdt_split LOGICAL :: debut_split,lafin_split INTEGER :: isplit REAL :: zsin(iim),zcos(iim),z1(iim) REAL :: zsinbis(iim),zcosbis(iim),z1bis(iim) REAL :: unskap, pksurcp ! REAL :: flxwfi(ngridmx,llm) ! Flux de masse verticale sur la grille physiq ! REAL :: SSUM LOGICAL,SAVE :: firstcal=.true., debut=.true. ! REAL rdayvrai ! !----------------------------------------------------------------------- ! ! 1. Initialisations : ! -------------------- ! ! IF ( firstcal ) THEN debut = .TRUE. IF (ngridmx.NE.2+(jjm-1)*iim) THEN write(lunout,*) 'STOP dans calfis' write(lunout,*) & 'La dimension ngridmx doit etre egale a 2 + (jjm-1)*iim' write(lunout,*) ' ngridmx jjm iim ' write(lunout,*) ngridmx,jjm,iim call abort_gcm("calfis", "", 1) ENDIF ELSE debut = .FALSE. ENDIF ! of IF (firstcal) ! ! !----------------------------------------------------------------------- ! 40. transformation des variables dynamiques en variables physiques: ! --------------------------------------------------------------- ! 41. pressions au sol (en Pascals) ! ---------------------------------- zpsrf(1) = pps(1,1) ig0 = 2 DO j = 2,jjm CALL SCOPY( iim,pps(1,j),1,zpsrf(ig0), 1 ) ig0 = ig0+iim ENDDO zpsrf(ngridmx) = pps(1,jjp1) ! 42. pression intercouches et fonction d'Exner: ! ! ----------------------------------------------------------------- ! .... zplev definis aux (llm +1) interfaces des couches .... ! .... zplay definis aux ( llm ) milieux des couches .... ! ----------------------------------------------------------------- ! ... Exner = cp * ( p(l) / preff ) ** kappa .... ! unskap = 1./ kappa ! DO l = 1, llm zpk( 1,l ) = ppk(1,1,l) zplev( 1,l ) = pp(1,1,l) ig0 = 2 DO j = 2, jjm DO i =1, iim zpk( ig0,l ) = ppk(i,j,l) zplev( ig0,l ) = pp(i,j,l) ig0 = ig0 +1 ENDDO ENDDO zpk( ngridmx,l ) = ppk(1,jjp1,l) zplev( ngridmx,l ) = pp(1,jjp1,l) ENDDO zplev( 1,llmp1 ) = pp(1,1,llmp1) ig0 = 2 DO j = 2, jjm DO i =1, iim zplev( ig0,llmp1 ) = pp(i,j,llmp1) ig0 = ig0 +1 ENDDO ENDDO zplev( ngridmx,llmp1 ) = pp(1,jjp1,llmp1) ! ! ! 43. temperature naturelle (en K) et pressions milieux couches . ! --------------------------------------------------------------- DO l=1,llm pksurcp = ppk(1,1,l) / cpp zplay(1,l) = preff * pksurcp ** unskap ztfi(1,l) = pteta(1,1,l) * pksurcp pcvgt(1,l) = pdteta(1,1,l) * pksurcp / pmasse(1,1,l) ig0 = 2 DO j = 2, jjm DO i = 1, iim pksurcp = ppk(i,j,l) / cpp zplay(ig0,l) = preff * pksurcp ** unskap ztfi(ig0,l) = pteta(i,j,l) * pksurcp pcvgt(ig0,l) = pdteta(i,j,l) * pksurcp / pmasse(i,j,l) ig0 = ig0 + 1 ENDDO ENDDO pksurcp = ppk(1,jjp1,l) / cpp zplay(ig0,l) = preff * pksurcp ** unskap ztfi (ig0,l) = pteta(1,jjp1,l) * pksurcp pcvgt(ig0,l) = pdteta(1,jjp1,l) * pksurcp/ pmasse(1,jjp1,l) ENDDO ! 43.bis traceurs ! --------------- ! itr=0 DO iq=1,nqtot IF(.NOT.tracers(iq)%isAdvected) CYCLE itr = itr + 1 DO l=1,llm zqfi(1,l,itr) = pq(1,1,l,iq) ig0 = 2 DO j=2,jjm DO i = 1, iim zqfi(ig0,l,itr) = pq(i,j,l,iq) ig0 = ig0 + 1 ENDDO ENDDO zqfi(ig0,l,itr) = pq(1,jjp1,l,iq) ENDDO ENDDO ! convergence dynamique pour les traceurs "EAU" ! Earth-specific treatment of first 2 tracers (water) if (planet_type=="earth") then DO iq=1,2 DO l=1,llm pcvgq(1,l,iq)= pdq(1,1,l,iq) / pmasse(1,1,l) ig0 = 2 DO j=2,jjm DO i = 1, iim pcvgq(ig0,l,iq) = pdq(i,j,l,iq) / pmasse(i,j,l) ig0 = ig0 + 1 ENDDO ENDDO pcvgq(ig0,l,iq)= pdq(1,jjp1,l,iq) / pmasse(1,jjp1,l) ENDDO ENDDO endif ! of if (planet_type=="earth") ! Geopotentiel calcule par rapport a la surface locale: ! ----------------------------------------------------- CALL gr_dyn_fi(llm,iip1,jjp1,ngridmx,pphi,zphi) CALL gr_dyn_fi(1,iip1,jjp1,ngridmx,pphis,zphis) DO l=1,llm DO ig=1,ngridmx zphi(ig,l)=zphi(ig,l)-zphis(ig) ENDDO ENDDO ! .... Calcul de la vitesse verticale ( en Pa*m*s ou Kg/s ) .... ! JG : ancien calcule de omega utilise dans physiq.F. Maintenant le flux ! de masse est calclue dans advtrac.F ! DO l=1,llm ! pvervel(1,l)=pw(1,1,l) * g /apoln ! ig0=2 ! DO j=2,jjm ! DO i = 1, iim ! pvervel(ig0,l) = pw(i,j,l) * g * unsaire(i,j) ! ig0 = ig0 + 1 ! ENDDO ! ENDDO ! pvervel(ig0,l)=pw(1,jjp1,l) * g /apols ! ENDDO ! ! 45. champ u: ! ------------ DO l=1,llm DO j=2,jjm ig0 = 1+(j-2)*iim zufi(ig0+1,l)= 0.5 * & ( pucov(iim,j,l)/cu(iim,j) + pucov(1,j,l)/cu(1,j) ) pcvgu(ig0+1,l)= 0.5 * & ( pducov(iim,j,l)/cu(iim,j) + pducov(1,j,l)/cu(1,j) ) DO i=2,iim zufi(ig0+i,l)= 0.5 * & ( pucov(i-1,j,l)/cu(i-1,j) + pucov(i,j,l)/cu(i,j) ) pcvgu(ig0+i,l)= 0.5 * & ( pducov(i-1,j,l)/cu(i-1,j) + pducov(i,j,l)/cu(i,j) ) END DO END DO END DO ! Alvaro de la Camara (May 2014) ! 46.1 Calcul de la vorticite et passage sur la grille physique ! -------------------------------------------------------------- DO l=1,llm do i=1,iim do j=1,jjm zrot(i,j,l) = (pvcov(i+1,j,l) - pvcov(i,j,l) & + pucov(i,j+1,l) - pucov(i,j,l)) & / (cu(i,j)+cu(i,j+1)) & / (cv(i+1,j)+cv(i,j)) *4 enddo enddo ENDDO ! 46.champ v: ! ----------- DO l=1,llm DO j=2,jjm ig0=1+(j-2)*iim DO i=1,iim zvfi(ig0+i,l)= 0.5 * & ( pvcov(i,j-1,l)/cv(i,j-1) + pvcov(i,j,l)/cv(i,j) ) pcvgv(ig0+i,l)= 0.5 * & ( pdvcov(i,j-1,l)/cv(i,j-1) + pdvcov(i,j,l)/cv(i,j) ) ENDDO zrfi(ig0 + 1,l)= 0.25 *(zrot(iim,j-1,l)+zrot(iim,j,l) & +zrot(1,j-1,l)+zrot(1,j,l)) DO i=2,iim zrfi(ig0 + i,l)= 0.25 *(zrot(i-1,j-1,l)+zrot(i-1,j,l) & +zrot(i,j-1,l)+zrot(i,j,l)) ! AdlC MAY 2014 ENDDO ENDDO ENDDO ! 47. champs de vents aux pole nord ! ------------------------------ ! U = 1 / pi * integrale [ v * cos(long) * d long ] ! V = 1 / pi * integrale [ v * sin(long) * d long ] DO l=1,llm z1(1) =(rlonu(1)-rlonu(iim)+2.*pi)*pvcov(1,1,l)/cv(1,1) z1bis(1)=(rlonu(1)-rlonu(iim)+2.*pi)*pdvcov(1,1,l)/cv(1,1) DO i=2,iim z1(i) =(rlonu(i)-rlonu(i-1))*pvcov(i,1,l)/cv(i,1) z1bis(i)=(rlonu(i)-rlonu(i-1))*pdvcov(i,1,l)/cv(i,1) ENDDO DO i=1,iim zcos(i) = COS(rlonv(i))*z1(i) zcosbis(i)= COS(rlonv(i))*z1bis(i) zsin(i) = SIN(rlonv(i))*z1(i) zsinbis(i)= SIN(rlonv(i))*z1bis(i) ENDDO zufi(1,l) = SSUM(iim,zcos,1)/pi pcvgu(1,l) = SSUM(iim,zcosbis,1)/pi zvfi(1,l) = SSUM(iim,zsin,1)/pi pcvgv(1,l) = SSUM(iim,zsinbis,1)/pi zrfi(1, l) = 0. ENDDO ! 48. champs de vents aux pole sud: ! --------------------------------- ! U = 1 / pi * integrale [ v * cos(long) * d long ] ! V = 1 / pi * integrale [ v * sin(long) * d long ] DO l=1,llm z1(1) =(rlonu(1)-rlonu(iim)+2.*pi)*pvcov(1,jjm,l)/cv(1,jjm) z1bis(1)=(rlonu(1)-rlonu(iim)+2.*pi)*pdvcov(1,jjm,l)/cv(1,jjm) DO i=2,iim z1(i) =(rlonu(i)-rlonu(i-1))*pvcov(i,jjm,l)/cv(i,jjm) z1bis(i)=(rlonu(i)-rlonu(i-1))*pdvcov(i,jjm,l)/cv(i,jjm) ENDDO DO i=1,iim zcos(i) = COS(rlonv(i))*z1(i) zcosbis(i) = COS(rlonv(i))*z1bis(i) zsin(i) = SIN(rlonv(i))*z1(i) zsinbis(i) = SIN(rlonv(i))*z1bis(i) ENDDO zufi(ngridmx,l) = SSUM(iim,zcos,1)/pi pcvgu(ngridmx,l) = SSUM(iim,zcosbis,1)/pi zvfi(ngridmx,l) = SSUM(iim,zsin,1)/pi pcvgv(ngridmx,l) = SSUM(iim,zsinbis,1)/pi zrfi(ngridmx, l) = 0. ENDDO ! ! On change de grille, dynamique vers physiq, pour le flux de masse verticale CALL gr_dyn_fi(llm,iip1,jjp1,ngridmx,flxw,flxwfi) !----------------------------------------------------------------------- ! Appel de la physique: ! --------------------- ! write(lunout,*) 'PHYSIQUE AVEC NSPLIT_PHYS=',nsplit_phys zdt_split=dtphys/nsplit_phys zdufic(:,:)=0. zdvfic(:,:)=0. zdtfic(:,:)=0. zdqfic(:,:,:)=0. IF (CPPKEY_PHYS) THEN do isplit=1,nsplit_phys jH_cur_split=jH_cur+(isplit-1) * dtvr / (daysec *nsplit_phys) debut_split=debut.and.isplit==1 lafin_split=lafin.and.isplit==nsplit_phys ! if (planet_type=="earth") then CALL call_physiq(ngridmx,llm,nqtot,tracers(:)%name, & debut_split,lafin_split, & jD_cur,jH_cur_split,zdt_split, & zplev,zplay, & zpk,zphi,zphis, & presnivs, & zufi,zvfi,zrfi,ztfi,zqfi, & flxwfi,pducov, & zdufi,zdvfi,zdtfi,zdqfi,zdpsrf) ! ! else if ( planet_type=="generic" ) then ! ! CALL physiq (ngridmx, !! ngrid ! . llm, !! nlayer ! . nqtot, !! nq ! . tracers(:)%name,!! tracer names from dynamical core (given in infotrac) ! . debut_split, !! firstcall ! . lafin_split, !! lastcall ! . jD_cur, !! pday. see leapfrog ! . jH_cur_split, !! ptime "fraction of day" ! . zdt_split, !! ptimestep ! . zplev, !! pplev ! . zplay, !! pplay ! . zphi, !! pphi ! . zufi, !! pu ! . zvfi, !! pv ! . ztfi, !! pt ! . zqfi, !! pq ! . flxwfi, !! pw !! or 0. anyway this is for diagnostic. not used in physiq. ! . zdufi, !! pdu ! . zdvfi, !! pdv ! . zdtfi, !! pdt ! . zdqfi, !! pdq ! . zdpsrf, !! pdpsrf ! . tracerdyn) !! tracerdyn <-- utilite ??? ! ! endif ! of if (planet_type=="earth") zufi(:,:)=zufi(:,:)+zdufi(:,:)*zdt_split zvfi(:,:)=zvfi(:,:)+zdvfi(:,:)*zdt_split ztfi(:,:)=ztfi(:,:)+zdtfi(:,:)*zdt_split zqfi(:,:,:)=zqfi(:,:,:)+zdqfi(:,:,:)*zdt_split zdufic(:,:)=zdufic(:,:)+zdufi(:,:) zdvfic(:,:)=zdvfic(:,:)+zdvfi(:,:) zdtfic(:,:)=zdtfic(:,:)+zdtfi(:,:) zdqfic(:,:,:)=zdqfic(:,:,:)+zdqfi(:,:,:) enddo ! of do isplit=1,nsplit_phys END IF ! of #ifdef CPP_PHYS zdufi(:,:)=zdufic(:,:)/nsplit_phys zdvfi(:,:)=zdvfic(:,:)/nsplit_phys zdtfi(:,:)=zdtfic(:,:)/nsplit_phys zdqfi(:,:,:)=zdqfic(:,:,:)/nsplit_phys 500 CONTINUE !----------------------------------------------------------------------- ! transformation des tendances physiques en tendances dynamiques: ! --------------------------------------------------------------- ! tendance sur la pression : ! ----------------------------------- CALL gr_fi_dyn(1,ngridmx,iip1,jjp1,zdpsrf,pdpsfi) ! ! 62. enthalpie potentielle ! --------------------- DO l=1,llm DO i=1,iip1 pdhfi(i,1,l) = cpp * zdtfi(1,l) / ppk(i, 1 ,l) pdhfi(i,jjp1,l) = cpp * zdtfi(ngridmx,l)/ ppk(i,jjp1,l) ENDDO DO j=2,jjm ig0=1+(j-2)*iim DO i=1,iim pdhfi(i,j,l) = cpp * zdtfi(ig0+i,l) / ppk(i,j,l) ENDDO pdhfi(iip1,j,l) = pdhfi(1,j,l) ENDDO ENDDO ! 62. humidite specifique ! --------------------- ! Ehouarn: removed this useless bit: was overwritten at step 63 anyways ! DO iq=1,nqtot ! DO l=1,llm ! DO i=1,iip1 ! pdqfi(i,1,l,iq) = zdqfi(1,l,iq) ! pdqfi(i,jjp1,l,iq) = zdqfi(ngridmx,l,iq) ! ENDDO ! DO j=2,jjm ! ig0=1+(j-2)*iim ! DO i=1,iim ! pdqfi(i,j,l,iq) = zdqfi(ig0+i,l,iq) ! ENDDO ! pdqfi(iip1,j,l,iq) = pdqfi(1,j,l,iq) ! ENDDO ! ENDDO ! ENDDO ! 63. traceurs ! ------------ ! initialisation des tendances pdqfi(:,:,:,:)=0. ! itr = 0 DO iq=1,nqtot IF(.NOT.tracers(iq)%isAdvected) CYCLE itr = itr + 1 DO l=1,llm DO i=1,iip1 pdqfi(i,1,l,iq) = zdqfi(1,l,itr) pdqfi(i,jjp1,l,iq) = zdqfi(ngridmx,l,itr) ENDDO DO j=2,jjm ig0=1+(j-2)*iim DO i=1,iim pdqfi(i,j,l,iq) = zdqfi(ig0+i,l,itr) ENDDO pdqfi(iip1,j,l,iq) = pdqfi(1,j,l,itr) ENDDO ENDDO ENDDO ! 65. champ u: ! ------------ DO l=1,llm DO i=1,iip1 pdufi(i,1,l) = 0. pdufi(i,jjp1,l) = 0. ENDDO DO j=2,jjm ig0=1+(j-2)*iim DO i=1,iim-1 pdufi(i,j,l)= & 0.5*(zdufi(ig0+i,l)+zdufi(ig0+i+1,l))*cu(i,j) ENDDO pdufi(iim,j,l)= & 0.5*(zdufi(ig0+1,l)+zdufi(ig0+iim,l))*cu(iim,j) pdufi(iip1,j,l)=pdufi(1,j,l) ENDDO ENDDO ! 67. champ v: ! ------------ DO l=1,llm DO j=2,jjm-1 ig0=1+(j-2)*iim DO i=1,iim pdvfi(i,j,l)= & 0.5*(zdvfi(ig0+i,l)+zdvfi(ig0+i+iim,l))*cv(i,j) ENDDO pdvfi(iip1,j,l) = pdvfi(1,j,l) ENDDO ENDDO ! 68. champ v pres des poles: ! --------------------------- ! v = U * cos(long) + V * SIN(long) DO l=1,llm DO i=1,iim pdvfi(i,1,l)= & zdufi(1,l)*COS(rlonv(i))+zdvfi(1,l)*SIN(rlonv(i)) pdvfi(i,jjm,l)=zdufi(ngridmx,l)*COS(rlonv(i)) & +zdvfi(ngridmx,l)*SIN(rlonv(i)) pdvfi(i,1,l)= & 0.5*(pdvfi(i,1,l)+zdvfi(i+1,l))*cv(i,1) pdvfi(i,jjm,l)= & 0.5*(pdvfi(i,jjm,l)+zdvfi(ngridmx-iip1+i,l))*cv(i,jjm) ENDDO pdvfi(iip1,1,l) = pdvfi(1,1,l) pdvfi(iip1,jjm,l)= pdvfi(1,jjm,l) ENDDO !----------------------------------------------------------------------- 700 CONTINUE firstcal = .FALSE. RETURN END SUBROUTINE calfis