3 |
|
|
4 |
#include "GAD_OPTIONS.h" |
#include "GAD_OPTIONS.h" |
5 |
|
|
6 |
SUBROUTINE GAD_DST3_ADV_Y( |
CBOP |
7 |
I bi,bj,k,deltaT, |
C !ROUTINE: GAD_DST3_ADV_Y |
8 |
I vTrans, vVel, |
|
9 |
I tracer, |
C !INTERFACE: ========================================================== |
10 |
|
SUBROUTINE GAD_DST3_ADV_Y( |
11 |
|
I bi,bj,k,deltaTloc, |
12 |
|
I vTrans, vFld, |
13 |
|
I maskLocS, tracer, |
14 |
O vT, |
O vT, |
15 |
I myThid ) |
I myThid ) |
16 |
C /==========================================================\ |
C !DESCRIPTION: |
17 |
C | SUBROUTINE GAD_DST3_ADV_Y | |
C Calculates the area integrated Meridional flux due to advection of a |
18 |
C | o Compute Meridional advective Flux of Tracer using | |
C tracer using 3rd-order Direct Space and Time (DST-3) Advection Scheme |
19 |
C | 3rd Order DST Sceheme | |
|
20 |
C |==========================================================| |
C !USES: =============================================================== |
21 |
IMPLICIT NONE |
IMPLICIT NONE |
22 |
|
|
23 |
C == GLobal variables == |
C == GLobal variables == |
24 |
#include "SIZE.h" |
#include "SIZE.h" |
25 |
#include "GRID.h" |
#include "GRID.h" |
26 |
|
#include "EEPARAMS.h" |
27 |
|
#include "PARAMS.h" |
28 |
#include "GAD.h" |
#include "GAD.h" |
29 |
|
|
30 |
C == Routine arguments == |
C == Routine arguments == |
31 |
|
C !INPUT PARAMETERS: =================================================== |
32 |
|
C bi,bj :: tile indices |
33 |
|
C k :: vertical level |
34 |
|
C deltaTloc :: local time-step (s) |
35 |
|
C vTrans :: meridional volume transport |
36 |
|
C vFld :: meridional flow |
37 |
|
C tracer :: tracer field |
38 |
|
C myThid :: thread number |
39 |
INTEGER bi,bj,k |
INTEGER bi,bj,k |
40 |
_RL deltaT |
_RL deltaTloc |
41 |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
42 |
_RL vVel(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
_RL vFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
43 |
|
_RS maskLocS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
44 |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL tracer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
_RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
|
45 |
INTEGER myThid |
INTEGER myThid |
46 |
|
|
47 |
|
C !OUTPUT PARAMETERS: ================================================== |
48 |
|
C vT :: meridional advective flux |
49 |
|
_RL vT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
50 |
|
|
51 |
C == Local variables == |
C == Local variables == |
52 |
|
C !LOCAL VARIABLES: ==================================================== |
53 |
|
C i,j :: loop indices |
54 |
|
C vLoc :: velocity [m/s], meridional component |
55 |
|
C cfl :: Courant-Friedrich-Levy number |
56 |
INTEGER i,j |
INTEGER i,j |
57 |
_RL Rjm,Rj,Rjp,cfl,d0,d1 |
_RL Rjm,Rj,Rjp,cfl,d0,d1 |
58 |
|
_RL vLoc |
59 |
|
#ifdef OLD_DST3_FORMULATION |
60 |
|
_RL psiP,psiM,thetaP,thetaM |
61 |
|
_RL smallNo |
62 |
|
c _RL Rjjm,Rjjp |
63 |
|
|
64 |
|
IF (inAdMode) THEN |
65 |
|
smallNo = 1.0D-20 |
66 |
|
ELSE |
67 |
|
smallNo = 1.0D-20 |
68 |
|
ENDIF |
69 |
|
#endif |
70 |
|
|
71 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
72 |
vT(i,1-Oly)=0. |
vT(i,1-Oly)=0. |
75 |
ENDDO |
ENDDO |
76 |
DO j=1-Oly+2,sNy+Oly-1 |
DO j=1-Oly+2,sNy+Oly-1 |
77 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
78 |
Rjp=(tracer(i,j+1)-tracer(i,j))*maskS(i,j+1,k,bi,bj) |
Rjp=(tracer(i,j+1)-tracer(i, j ))*maskLocS(i,j+1) |
79 |
Rj =(tracer(i,j)-tracer(i,j-1))*maskS(i,j,k,bi,bj) |
Rj =(tracer(i, j )-tracer(i,j-1))*maskLocS(i, j ) |
80 |
Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskS(i,j-1,k,bi,bj) |
Rjm=(tracer(i,j-1)-tracer(i,j-2))*maskLocS(i,j-1) |
81 |
|
|
82 |
cfl=vVel(i,j,k,bi,bj)*deltaT*recip_dyc(i,j,bi,bj) |
vLoc = vFld(i,j) |
83 |
d0=(2.-abs(cfl))*(1.-abs(cfl))*oneSixth |
c vLoc = vTrans(i,j)*recip_dxG(i,j,bi,bj) |
84 |
d1=(1.-cfl)*(1.+cfl)*oneSixth |
c & *recip_drF(k)*_recip_hFacS(i,j,k,bi,bj) |
85 |
|
cfl=ABS(vLoc*deltaTloc*recip_dyC(i,j,bi,bj)) |
86 |
|
d0=(2.-cfl)*(1.-cfl)*oneSixth |
87 |
|
d1=(1.-cfl*cfl)*oneSixth |
88 |
|
#ifdef OLD_DST3_FORMULATION |
89 |
|
IF ( ABS(Rj).LT.smallNo .OR. |
90 |
|
& ABS(Rjm).LT.smallNo ) THEN |
91 |
|
thetaP=0. |
92 |
|
psiP=0. |
93 |
|
ELSE |
94 |
|
thetaP=(Rjm+smallNo)/(smallNo+Rj) |
95 |
|
psiP=d0+d1*thetaP |
96 |
|
ENDIF |
97 |
|
IF ( ABS(Rj).LT.smallNo .OR. |
98 |
|
& ABS(Rjp).LT.smallNo ) THEN |
99 |
|
thetaM=0. |
100 |
|
psiM=0. |
101 |
|
ELSE |
102 |
|
thetaM=(Rjp+smallNo)/(smallNo+Rj) |
103 |
|
psiM=d0+d1*thetaM |
104 |
|
ENDIF |
105 |
|
vT(i,j)= |
106 |
|
& 0.5*(vTrans(i,j)+ABS(vTrans(i,j))) |
107 |
|
& *( Tracer(i,j-1) + psiP*Rj ) |
108 |
|
& +0.5*(vTrans(i,j)-ABS(vTrans(i,j))) |
109 |
|
& *( Tracer(i, j ) - psiM*Rj ) |
110 |
|
#else /* OLD_DST3_FORMULATION */ |
111 |
vT(i,j)= |
vT(i,j)= |
112 |
& 0.5*(vTrans(i,j)+abs(vTrans(i,j))) |
& 0.5*(vTrans(i,j)+ABS(vTrans(i,j))) |
113 |
& *( Tracer(i,j-1) + d0*Rj + d1*Rjm ) |
& *( Tracer(i,j-1) + (d0*Rj+d1*Rjm) ) |
114 |
& +0.5*(vTrans(i,j)-abs(vTrans(i,j))) |
& +0.5*(vTrans(i,j)-ABS(vTrans(i,j))) |
115 |
& *( Tracer(i, j ) - d0*Rj + d1*Rjp ) |
& *( Tracer(i, j ) - (d0*Rj+d1*Rjp) ) |
116 |
|
#endif /* OLD_DST3_FORMULATION */ |
117 |
|
|
118 |
ENDDO |
ENDDO |
119 |
ENDDO |
ENDDO |