! $Header$ SUBROUTINE advy(limit,dty,pbarv,sm,s0,sx,sy,sz) IMPLICIT NONE !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! C ! first-order moments (SOM) advection of tracer in Y direction C ! C ! Source : Pascal Simon ( Meteo, CNRM ) C ! Adaptation : A.A. (LGGE) C ! Derniere Modif : 15/12/94 LAST ! C ! sont les arguments d'entree pour le s-pg C ! C ! argument de sortie du s-pg C ! C !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC ! ! Rem : Probleme aux poles il faut reecrire ce cas specifique ! Attention au sens de l'indexation ! ! parametres principaux du modele ! ! include "dimensions.h" include "paramet.h" include "comgeom2.h" ! Arguments : ! ---------- ! dty : frequence fictive d'appel du transport ! parbu,pbarv : flux de masse en x et y en Pa.m2.s-1 INTEGER :: lon,lat,niv INTEGER :: i,j,jv,k,kp,l INTEGER :: ntra PARAMETER (ntra = 1) REAL :: dty REAL :: pbarv ( iip1,jjm, llm ) ! moments: SM total mass in each grid box ! S0 mass of tracer in each grid box ! Si 1rst order moment in i direction ! REAL :: SM(iip1,jjp1,llm) & ,S0(iip1,jjp1,llm,ntra) REAL :: sx(iip1,jjp1,llm,ntra) & ,sy(iip1,jjp1,llm,ntra) & ,sz(iip1,jjp1,llm,ntra) ! Local : ! ------- ! mass fluxes across the boundaries (UGRI,VGRI,WGRI) ! mass fluxes in kg ! declaration : REAL :: VGRI(iip1,0:jjp1,llm) ! Rem : UGRI et WGRI ne sont pas utilises dans ! cette SUBROUTINE ( advection en y uniquement ) ! Rem 2 :le dimensionnement de VGRI depend de celui de pbarv ! ! the moments F are similarly defined and used as temporary ! storage for portions of the grid boxes in transit ! REAL :: F0(iim,0:jjp1,ntra),FM(iim,0:jjp1) REAL :: FX(iim,jjm,ntra),FY(iim,jjm,ntra) REAL :: FZ(iim,jjm,ntra) REAL :: S00(ntra) REAL :: SM0 ! Just temporal variable ! ! work arrays ! REAL :: ALF(iim,0:jjp1),ALF1(iim,0:jjp1) REAL :: ALFQ(iim,0:jjp1),ALF1Q(iim,0:jjp1) REAL :: TEMPTM ! Just temporal variable ! ! Special pour poles ! REAL :: sbms,sfms,sfzs,sbmn,sfmn,sfzn REAL :: sns0(ntra),snsz(ntra),snsm REAL :: s1v(llm),slatv(llm) REAL :: qy1(iim,llm,ntra),qylat(iim,llm,ntra) REAL :: cx1(llm,ntra), cxLAT(llm,ntra) REAL :: cy1(llm,ntra), cyLAT(llm,ntra) REAL :: z1(iim), zcos(iim), zsin(iim) REAL :: smpn,smps,s0pn,s0ps REAL :: SSUM EXTERNAL SSUM ! REAL :: sqi,sqf LOGICAL :: LIMIT lon = iim ! rem : Il est possible qu'un pbl. arrive ici lat = jjp1 ! a cause des dim. differentes entre les niv=llm ! ! the moments Fi are used as temporary storage for ! portions of the grid boxes in transit at the current level ! ! work arrays ! DO l = 1,llm DO j = 1,jjm DO i = 1,iip1 vgri (i,j,llm+1-l)=-1.*pbarv(i,j,l) enddo enddo do i=1,iip1 vgri(i,0,l) = 0. vgri(i,jjp1,l) = 0. enddo enddo DO L=1,NIV ! ! place limits on appropriate moments before transport ! (if flux-limiting is to be applied) ! IF(.NOT.LIMIT) GO TO 11 ! DO JV=1,NTRA DO K=1,LAT DO I=1,LON sy(I,K,L,JV)=SIGN(AMIN1(AMAX1(S0(I,K,L,JV),0.), & ABS(sy(I,K,L,JV))),sy(I,K,L,JV)) END DO END DO END DO ! 11 CONTINUE ! ! le flux a travers le pole Nord est traite separement ! SM0=0. DO JV=1,NTRA S00(JV)=0. END DO ! DO I=1,LON ! IF(VGRI(I,0,L)<=0.) THEN FM(I,0)=-VGRI(I,0,L)*DTY ALF(I,0)=FM(I,0)/SM(I,1,L) SM(I,1,L)=SM(I,1,L)-FM(I,0) SM0=SM0+FM(I,0) ENDIF ! ALFQ(I,0)=ALF(I,0)*ALF(I,0) ALF1(I,0)=1.-ALF(I,0) ALF1Q(I,0)=ALF1(I,0)*ALF1(I,0) ! END DO ! DO JV=1,NTRA DO I=1,LON ! IF(VGRI(I,0,L)<=0.) THEN ! F0(I,0,JV)=ALF(I,0)* & ( S0(I,1,L,JV)-ALF1(I,0)*sy(I,1,L,JV) ) ! S00(JV)=S00(JV)+F0(I,0,JV) S0(I,1,L,JV)=S0(I,1,L,JV)-F0(I,0,JV) sy(I,1,L,JV)=ALF1Q(I,0)*sy(I,1,L,JV) sx(I,1,L,JV)=ALF1 (I,0)*sx(I,1,L,JV) sz(I,1,L,JV)=ALF1 (I,0)*sz(I,1,L,JV) ! ENDIF ! END DO END DO ! DO I=1,LON IF(VGRI(I,0,L)>0.) THEN FM(I,0)=VGRI(I,0,L)*DTY ALF(I,0)=FM(I,0)/SM0 ENDIF END DO ! DO JV=1,NTRA DO I=1,LON IF(VGRI(I,0,L)>0.) THEN F0(I,0,JV)=ALF(I,0)*S00(JV) ENDIF END DO END DO ! ! puts the temporary moments Fi into appropriate neighboring boxes ! DO I=1,LON ! IF(VGRI(I,0,L)>0.) THEN SM(I,1,L)=SM(I,1,L)+FM(I,0) ALF(I,0)=FM(I,0)/SM(I,1,L) ENDIF ! ALF1(I,0)=1.-ALF(I,0) ! END DO ! DO JV=1,NTRA DO I=1,LON ! IF(VGRI(I,0,L)>0.) THEN ! TEMPTM=ALF(I,0)*S0(I,1,L,JV)-ALF1(I,0)*F0(I,0,JV) S0(I,1,L,JV)=S0(I,1,L,JV)+F0(I,0,JV) sy(I,1,L,JV)=ALF1(I,0)*sy(I,1,L,JV)+3.*TEMPTM ! ENDIF ! END DO END DO ! ! calculate flux and moments between adjacent boxes ! 1- create temporary moments/masses for partial boxes in transit ! 2- reajusts moments remaining in the box ! ! flux from KP to K if V(K).lt.0 and from K to KP if V(K).gt.0 ! DO K=1,LAT-1 KP=K+1 DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN FM(I,K)=-VGRI(I,K,L)*DTY ALF(I,K)=FM(I,K)/SM(I,KP,L) SM(I,KP,L)=SM(I,KP,L)-FM(I,K) ELSE FM(I,K)=VGRI(I,K,L)*DTY ALF(I,K)=FM(I,K)/SM(I,K,L) SM(I,K,L)=SM(I,K,L)-FM(I,K) ENDIF ! ALFQ(I,K)=ALF(I,K)*ALF(I,K) ALF1(I,K)=1.-ALF(I,K) ALF1Q(I,K)=ALF1(I,K)*ALF1(I,K) ! END DO END DO ! DO JV=1,NTRA DO K=1,LAT-1 KP=K+1 DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN ! F0(I,K,JV)=ALF (I,K)* & ( S0(I,KP,L,JV)-ALF1(I,K)*sy(I,KP,L,JV) ) FY(I,K,JV)=ALFQ(I,K)*sy(I,KP,L,JV) FX(I,K,JV)=ALF (I,K)*sx(I,KP,L,JV) FZ(I,K,JV)=ALF (I,K)*sz(I,KP,L,JV) ! S0(I,KP,L,JV)=S0(I,KP,L,JV)-F0(I,K,JV) sy(I,KP,L,JV)=ALF1Q(I,K)*sy(I,KP,L,JV) sx(I,KP,L,JV)=sx(I,KP,L,JV)-FX(I,K,JV) sz(I,KP,L,JV)=sz(I,KP,L,JV)-FZ(I,K,JV) ! ELSE ! F0(I,K,JV)=ALF (I,K)* & ( S0(I,K,L,JV)+ALF1(I,K)*sy(I,K,L,JV) ) FY(I,K,JV)=ALFQ(I,K)*sy(I,K,L,JV) FX(I,K,JV)=ALF(I,K)*sx(I,K,L,JV) FZ(I,K,JV)=ALF(I,K)*sz(I,K,L,JV) ! S0(I,K,L,JV)=S0(I,K,L,JV)-F0(I,K,JV) sy(I,K,L,JV)=ALF1Q(I,K)*sy(I,K,L,JV) sx(I,K,L,JV)=sx(I,K,L,JV)-FX(I,K,JV) sz(I,K,L,JV)=sz(I,K,L,JV)-FZ(I,K,JV) ! ENDIF ! END DO END DO END DO ! ! puts the temporary moments Fi into appropriate neighboring boxes ! DO K=1,LAT-1 KP=K+1 DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN SM(I,K,L)=SM(I,K,L)+FM(I,K) ALF(I,K)=FM(I,K)/SM(I,K,L) ELSE SM(I,KP,L)=SM(I,KP,L)+FM(I,K) ALF(I,K)=FM(I,K)/SM(I,KP,L) ENDIF ! ALF1(I,K)=1.-ALF(I,K) ! END DO END DO ! DO JV=1,NTRA DO K=1,LAT-1 KP=K+1 DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN ! TEMPTM=-ALF(I,K)*S0(I,K,L,JV)+ALF1(I,K)*F0(I,K,JV) S0(I,K,L,JV)=S0(I,K,L,JV)+F0(I,K,JV) sy(I,K,L,JV)=ALF(I,K)*FY(I,K,JV)+ALF1(I,K)*sy(I,K,L,JV) & +3.*TEMPTM sx(I,K,L,JV)=sx(I,K,L,JV)+FX(I,K,JV) sz(I,K,L,JV)=sz(I,K,L,JV)+FZ(I,K,JV) ! ELSE ! TEMPTM=ALF(I,K)*S0(I,KP,L,JV)-ALF1(I,K)*F0(I,K,JV) S0(I,KP,L,JV)=S0(I,KP,L,JV)+F0(I,K,JV) sy(I,KP,L,JV)=ALF(I,K)*FY(I,K,JV)+ALF1(I,K)*sy(I,KP,L,JV) & +3.*TEMPTM sx(I,KP,L,JV)=sx(I,KP,L,JV)+FX(I,K,JV) sz(I,KP,L,JV)=sz(I,KP,L,JV)+FZ(I,K,JV) ! ENDIF ! END DO END DO END DO ! ! traitement special pour le pole Sud (idem pole Nord) ! K=LAT ! SM0=0. DO JV=1,NTRA S00(JV)=0. END DO ! DO I=1,LON ! IF(VGRI(I,K,L)>=0.) THEN FM(I,K)=VGRI(I,K,L)*DTY ALF(I,K)=FM(I,K)/SM(I,K,L) SM(I,K,L)=SM(I,K,L)-FM(I,K) SM0=SM0+FM(I,K) ENDIF ! ALFQ(I,K)=ALF(I,K)*ALF(I,K) ALF1(I,K)=1.-ALF(I,K) ALF1Q(I,K)=ALF1(I,K)*ALF1(I,K) ! END DO ! DO JV=1,NTRA DO I=1,LON ! IF(VGRI(I,K,L)>=0.) THEN F0 (I,K,JV)=ALF(I,K)* & ( S0(I,K,L,JV)+ALF1(I,K)*sy(I,K,L,JV) ) S00(JV)=S00(JV)+F0(I,K,JV) ! S0(I,K,L,JV)=S0 (I,K,L,JV)-F0 (I,K,JV) sy(I,K,L,JV)=ALF1Q(I,K)*sy(I,K,L,JV) sx(I,K,L,JV)=ALF1(I,K)*sx(I,K,L,JV) sz(I,K,L,JV)=ALF1(I,K)*sz(I,K,L,JV) ENDIF ! END DO END DO ! DO I=1,LON IF(VGRI(I,K,L)<0.) THEN FM(I,K)=-VGRI(I,K,L)*DTY ALF(I,K)=FM(I,K)/SM0 ENDIF END DO ! DO JV=1,NTRA DO I=1,LON IF(VGRI(I,K,L)<0.) THEN F0(I,K,JV)=ALF(I,K)*S00(JV) ENDIF END DO END DO ! ! puts the temporary moments Fi into appropriate neighboring boxes ! DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN SM(I,K,L)=SM(I,K,L)+FM(I,K) ALF(I,K)=FM(I,K)/SM(I,K,L) ENDIF ! ALF1(I,K)=1.-ALF(I,K) ! END DO ! DO JV=1,NTRA DO I=1,LON ! IF(VGRI(I,K,L)<0.) THEN ! TEMPTM=-ALF(I,K)*S0(I,K,L,JV)+ALF1(I,K)*F0(I,K,JV) S0(I,K,L,JV)=S0(I,K,L,JV)+F0(I,K,JV) sy(I,K,L,JV)=ALF1(I,K)*sy(I,K,L,JV)+3.*TEMPTM ! ENDIF ! END DO END DO ! END DO ! RETURN END SUBROUTINE advy