! ! $Header$ ! SUBROUTINE advy(limit,dty,pbarv,sm,s0,sx,sy,sz) IMPLICIT NONE CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC C C C first-order moments (SOM) advection of tracer in Y direction C C C C Source : Pascal Simon ( Meteo, CNRM ) C C Adaptation : A.A. (LGGE) C C Derniere Modif : 15/12/94 LAST C C C sont les arguments d'entree pour le s-pg C C C C argument de sortie du s-pg C C C CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC C C Rem : Probleme aux poles il faut reecrire ce cas specifique C Attention au sens de l'indexation C C parametres principaux du modele C C include "dimensions.h" include "paramet.h" include "comgeom2.h" C Arguments : C ---------- C dty : frequence fictive d'appel du transport C 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 ) C moments: SM total mass in each grid box C S0 mass of tracer in each grid box C Si 1rst order moment in i direction C 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) C Local : C ------- C mass fluxes across the boundaries (UGRI,VGRI,WGRI) C mass fluxes in kg C declaration : REAL VGRI(iip1,0:jjp1,llm) C Rem : UGRI et WGRI ne sont pas utilises dans C cette subroutine ( advection en y uniquement ) C Rem 2 :le dimensionnement de VGRI depend de celui de pbarv C C the moments F are similarly defined and used as temporary C storage for portions of the grid boxes in transit C 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 C C work arrays C REAL ALF(iim,0:jjp1),ALF1(iim,0:jjp1) REAL ALFQ(iim,0:jjp1),ALF1Q(iim,0:jjp1) REAL TEMPTM ! Just temporal variable c C Special pour poles c 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 C 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 C C the moments Fi are used as temporary storage for C portions of the grid boxes in transit at the current level C C work arrays C 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 1 L=1,NIV C C place limits on appropriate moments before transport C (if flux-limiting is to be applied) C IF(.NOT.LIMIT) GO TO 11 C DO 10 JV=1,NTRA DO 10 K=1,LAT DO 100 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)) 100 CONTINUE 10 CONTINUE C 11 CONTINUE C C le flux a travers le pole Nord est traite separement C SM0=0. DO 20 JV=1,NTRA S00(JV)=0. 20 CONTINUE C DO 21 I=1,LON C IF(VGRI(I,0,L).LE.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 C 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) C 21 CONTINUE C DO 22 JV=1,NTRA DO 220 I=1,LON C IF(VGRI(I,0,L).LE.0.) THEN C F0(I,0,JV)=ALF(I,0)* + ( S0(I,1,L,JV)-ALF1(I,0)*sy(I,1,L,JV) ) C 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) C ENDIF C 220 CONTINUE 22 CONTINUE C DO 23 I=1,LON IF(VGRI(I,0,L).GT.0.) THEN FM(I,0)=VGRI(I,0,L)*DTY ALF(I,0)=FM(I,0)/SM0 ENDIF 23 CONTINUE C DO 24 JV=1,NTRA DO 240 I=1,LON IF(VGRI(I,0,L).GT.0.) THEN F0(I,0,JV)=ALF(I,0)*S00(JV) ENDIF 240 CONTINUE 24 CONTINUE C C puts the temporary moments Fi into appropriate neighboring boxes C DO 25 I=1,LON C IF(VGRI(I,0,L).GT.0.) THEN SM(I,1,L)=SM(I,1,L)+FM(I,0) ALF(I,0)=FM(I,0)/SM(I,1,L) ENDIF C ALF1(I,0)=1.-ALF(I,0) C 25 CONTINUE C DO 26 JV=1,NTRA DO 260 I=1,LON C IF(VGRI(I,0,L).GT.0.) THEN C 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 C ENDIF C 260 CONTINUE 26 CONTINUE C C calculate flux and moments between adjacent boxes C 1- create temporary moments/masses for partial boxes in transit C 2- reajusts moments remaining in the box C C flux from KP to K if V(K).lt.0 and from K to KP if V(K).gt.0 C DO 30 K=1,LAT-1 KP=K+1 DO 300 I=1,LON C IF(VGRI(I,K,L).LT.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 C 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) C 300 CONTINUE 30 CONTINUE C DO 31 JV=1,NTRA DO 31 K=1,LAT-1 KP=K+1 DO 310 I=1,LON C IF(VGRI(I,K,L).LT.0.) THEN C 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) C 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) C ELSE C 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) C 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) C ENDIF C 310 CONTINUE 31 CONTINUE C C puts the temporary moments Fi into appropriate neighboring boxes C DO 32 K=1,LAT-1 KP=K+1 DO 320 I=1,LON C IF(VGRI(I,K,L).LT.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 C ALF1(I,K)=1.-ALF(I,K) C 320 CONTINUE 32 CONTINUE C DO 33 JV=1,NTRA DO 33 K=1,LAT-1 KP=K+1 DO 330 I=1,LON C IF(VGRI(I,K,L).LT.0.) THEN C 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) C ELSE C 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) C ENDIF C 330 CONTINUE 33 CONTINUE C C traitement special pour le pole Sud (idem pole Nord) C K=LAT C SM0=0. DO 40 JV=1,NTRA S00(JV)=0. 40 CONTINUE C DO 41 I=1,LON C IF(VGRI(I,K,L).GE.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 C 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) C 41 CONTINUE C DO 42 JV=1,NTRA DO 420 I=1,LON C IF(VGRI(I,K,L).GE.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) C 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 C 420 CONTINUE 42 CONTINUE C DO 43 I=1,LON IF(VGRI(I,K,L).LT.0.) THEN FM(I,K)=-VGRI(I,K,L)*DTY ALF(I,K)=FM(I,K)/SM0 ENDIF 43 CONTINUE C DO 44 JV=1,NTRA DO 440 I=1,LON IF(VGRI(I,K,L).LT.0.) THEN F0(I,K,JV)=ALF(I,K)*S00(JV) ENDIF 440 CONTINUE 44 CONTINUE C C puts the temporary moments Fi into appropriate neighboring boxes C DO 45 I=1,LON C IF(VGRI(I,K,L).LT.0.) THEN SM(I,K,L)=SM(I,K,L)+FM(I,K) ALF(I,K)=FM(I,K)/SM(I,K,L) ENDIF C ALF1(I,K)=1.-ALF(I,K) C 45 CONTINUE C DO 46 JV=1,NTRA DO 460 I=1,LON C IF(VGRI(I,K,L).LT.0.) THEN C 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 C ENDIF C 460 CONTINUE 46 CONTINUE C 1 CONTINUE C RETURN END