| 1 |
adcroft |
1.8 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_del2uv.F,v 1.7 2004/03/15 01:37:23 cnh Exp $ |
| 2 |
jmc |
1.3 |
C $Name: $ |
| 3 |
adcroft |
1.2 |
|
| 4 |
adcroft |
1.8 |
#include "MOM_VECINV_OPTIONS.h" |
| 5 |
adcroft |
1.2 |
|
| 6 |
|
|
SUBROUTINE MOM_VI_DEL2UV( |
| 7 |
|
|
I bi,bj,k, |
| 8 |
|
|
I hDiv,vort3,hFacZ, |
| 9 |
|
|
O del2u,del2v, |
| 10 |
|
|
I myThid) |
| 11 |
|
|
IMPLICIT NONE |
| 12 |
|
|
C |
| 13 |
|
|
C Calculate del^2 of (u,v) in terms of hDiv and vort3 |
| 14 |
|
|
C |
| 15 |
|
|
|
| 16 |
|
|
C == Global variables == |
| 17 |
|
|
#include "SIZE.h" |
| 18 |
|
|
#include "GRID.h" |
| 19 |
adcroft |
1.5 |
#include "EEPARAMS.h" |
| 20 |
adcroft |
1.6 |
#ifdef ALLOW_EXCH2 |
| 21 |
afe |
1.4 |
#include "W2_EXCH2_TOPOLOGY.h" |
| 22 |
|
|
#include "W2_EXCH2_PARAMS.h" |
| 23 |
adcroft |
1.6 |
#endif /* ALLOW_EXCH2 */ |
| 24 |
adcroft |
1.2 |
|
| 25 |
|
|
C == Routine arguments == |
| 26 |
|
|
INTEGER bi,bj,k |
| 27 |
|
|
_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 28 |
|
|
_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 29 |
|
|
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 30 |
|
|
_RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 31 |
|
|
_RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 32 |
|
|
INTEGER myThid |
| 33 |
|
|
|
| 34 |
|
|
C == Local variables == |
| 35 |
|
|
INTEGER I,J |
| 36 |
afe |
1.4 |
_RL Zip,Zij,Zpj,Dim,Dij,Dmj,uDij |
| 37 |
|
|
LOGICAL northWestCorner, northEastCorner, |
| 38 |
|
|
& southWestCorner, southEastCorner |
| 39 |
adcroft |
1.6 |
#ifdef ALLOW_EXCH2 |
| 40 |
afe |
1.4 |
INTEGER myTile |
| 41 |
adcroft |
1.6 |
#endif /* ALLOW_EXCH2 */ |
| 42 |
afe |
1.4 |
|
| 43 |
|
|
C Special stuff for Cubed Sphere |
| 44 |
|
|
IF (useCubedSphereExchange) THEN |
| 45 |
adcroft |
1.6 |
#ifdef ALLOW_EXCH2 |
| 46 |
afe |
1.4 |
southWestCorner = .FALSE. |
| 47 |
|
|
southEastCorner = .FALSE. |
| 48 |
|
|
northWestCorner = .FALSE. |
| 49 |
|
|
northEastCorner = .FALSE. |
| 50 |
|
|
myTile = W2_myTileList(bi) |
| 51 |
|
|
IF ( exch2_isWedge(myTile) .EQ. 1 .AND. |
| 52 |
|
|
& exch2_isSedge(myTile) .EQ. 1 ) THEN |
| 53 |
|
|
southWestCorner = .TRUE. |
| 54 |
|
|
ENDIF |
| 55 |
|
|
IF ( exch2_isEedge(myTile) .EQ. 1 .AND. |
| 56 |
|
|
& exch2_isSedge(myTile) .EQ. 1 ) THEN |
| 57 |
|
|
southEastCorner = .TRUE. |
| 58 |
|
|
ENDIF |
| 59 |
|
|
IF ( exch2_isEedge(myTile) .EQ. 1 .AND. |
| 60 |
|
|
& exch2_isNedge(myTile) .EQ. 1 ) THEN |
| 61 |
|
|
northEastCorner = .TRUE. |
| 62 |
|
|
ENDIF |
| 63 |
|
|
IF ( exch2_isWedge(myTile) .EQ. 1 .AND. |
| 64 |
|
|
& exch2_isNedge(myTile) .EQ. 1 ) THEN |
| 65 |
|
|
northWestCorner = .TRUE. |
| 66 |
|
|
ENDIF |
| 67 |
adcroft |
1.5 |
#else |
| 68 |
|
|
southWestCorner = .TRUE. |
| 69 |
|
|
southEastCorner = .TRUE. |
| 70 |
|
|
northWestCorner = .TRUE. |
| 71 |
|
|
northEastCorner = .TRUE. |
| 72 |
adcroft |
1.6 |
#endif /* ALLOW_EXCH2 */ |
| 73 |
afe |
1.4 |
ENDIF |
| 74 |
adcroft |
1.2 |
|
| 75 |
|
|
C - Laplacian and bi-harmonic terms |
| 76 |
|
|
DO j=2-Oly,sNy+Oly-1 |
| 77 |
|
|
DO i=2-Olx,sNx+Olx-1 |
| 78 |
|
|
|
| 79 |
|
|
c Dim=dyF( i ,j-1,bi,bj)*hFacC( i ,j-1,k,bi,bj)*hDiv( i ,j-1) |
| 80 |
|
|
c Dij=dyF( i , j ,bi,bj)*hFacC( i , j ,k,bi,bj)*hDiv( i , j ) |
| 81 |
|
|
c Dmj=dyF(i-1, j ,bi,bj)*hFacC(i-1, j ,k,bi,bj)*hDiv(i-1, j ) |
| 82 |
|
|
c Dim=dyF( i ,j-1,bi,bj)* hDiv( i ,j-1) |
| 83 |
|
|
c Dij=dyF( i , j ,bi,bj)* hDiv( i , j ) |
| 84 |
|
|
c Dmj=dyF(i-1, j ,bi,bj)* hDiv(i-1, j ) |
| 85 |
|
|
Dim= hDiv( i ,j-1) |
| 86 |
|
|
Dij= hDiv( i , j ) |
| 87 |
|
|
Dmj= hDiv(i-1, j ) |
| 88 |
|
|
|
| 89 |
|
|
c Zip=dxV( i ,j+1,bi,bj)*hFacZ( i ,j+1)*vort3( i ,j+1) |
| 90 |
|
|
c Zij=dxV( i , j ,bi,bj)*hFacZ( i , j )*vort3( i , j ) |
| 91 |
|
|
c Zpj=dxV(i+1, j ,bi,bj)*hFacZ(i+1, j )*vort3(i+1, j ) |
| 92 |
|
|
Zip= hFacZ( i ,j+1)*vort3( i ,j+1) |
| 93 |
|
|
Zij= hFacZ( i , j )*vort3( i , j ) |
| 94 |
|
|
Zpj= hFacZ(i+1, j )*vort3(i+1, j ) |
| 95 |
|
|
|
| 96 |
afe |
1.4 |
C Special stuff for Cubed Sphere |
| 97 |
|
|
uDij=Dij |
| 98 |
|
|
IF (useCubedSphereExchange) THEN |
| 99 |
|
|
C U(0,1) D(0,1) U(1,1) TILE |
| 100 |
|
|
C | | |
| 101 |
|
|
C V(-1,1) --- Z(0,1) --- V(0,1) --- Z(1,1) --- V(1,1) --- |
| 102 |
|
|
C | | |
| 103 |
|
|
C U(0,0) D(0,0) U(1,0) D(1,0) |
| 104 |
|
|
C | | |
| 105 |
|
|
C --- V(0,0) --- Z(1,0) --- V(1,0) --- |
| 106 |
|
|
C | |
| 107 |
|
|
C U(1,-1) |
| 108 |
|
|
if(southWestCorner.and.i.eq.1.and.j.eq.0) Dmj=hDiv(0,1) |
| 109 |
|
|
if(southWestCorner.and.i.eq.0.and.j.eq.1) Dim=hDiv(1,0) |
| 110 |
|
|
C U(1,N+2) |
| 111 |
|
|
C | |
| 112 |
|
|
C --- V(0,N+1) --- Z(1,N+2) --- V(1,N+2) --- |
| 113 |
|
|
C | | |
| 114 |
|
|
C U(0,N+1) D(0,N+1) U(1,N+1) D(1,N+1) |
| 115 |
|
|
C | | |
| 116 |
|
|
C V(-1,N+1) --- Z(0,N+1) --- V(0,N+1) --- Z(1,N+1) --- V(1,N+1) --- |
| 117 |
|
|
C | | |
| 118 |
|
|
C U(0,N) D(0,N) U(1,N) TILE |
| 119 |
|
|
if(northWestCorner.and.i.eq.1.and.j.eq.sNy+1) Dmj=hDiv(0,sNy) |
| 120 |
|
|
if(northWestCorner.and.i.eq.0.and.j.eq.sNy+1) Dij=hDiv(1,sNy+1) |
| 121 |
|
|
C TILE U(N+1,1) D(N+1,1) U(N+2,1) |
| 122 |
|
|
C | | |
| 123 |
|
|
C V(N,1) --- Z(N+1,1) --- V(N+1,1) --- Z(N+2,1) --- V(N+3,1) --- |
| 124 |
|
|
C | | |
| 125 |
|
|
C D(N,0) U(N+1,0) D(N+1,0) U(N+2,0) |
| 126 |
|
|
C | | |
| 127 |
|
|
C V(N,0) --- Z(N+1,0) --- V(N+1,0) --- |
| 128 |
|
|
C | |
| 129 |
|
|
C U(N+1,-1) |
| 130 |
|
|
if(southEastCorner.and.i.eq.sNx+1.and.j.eq.0) Dij=hDiv(sNx+1,1) |
| 131 |
|
|
if(southEastCorner.and.i.eq.sNx+1.and.j.eq.1) Dim=hDiv(sNx,0) |
| 132 |
|
|
C U(N+1,N+2) |
| 133 |
|
|
C | |
| 134 |
|
|
C V(N,N+2) --- Z(N+1,N+2) --- V(N+1,N+2) --- |
| 135 |
|
|
C | | |
| 136 |
|
|
C D(N,N+1) U(N+1,N+1) D(N+1,N+1) U(N+2,N+1) |
| 137 |
|
|
C | | |
| 138 |
|
|
C V(N,N+1) --- Z(N+1,N+1) --- V(N+1,N+1) --- Z(N+2,N+1) --- V(N+3,N+1) --- |
| 139 |
|
|
C | | |
| 140 |
|
|
C TILE U(N+1,N) D(N+1,N) U(N+2,N) |
| 141 |
|
|
if (northEastCorner.and.i.eq.sNx+1 .and. j.eq.sNy+1) then |
| 142 |
|
|
uDij=hDiv(sNx+1,sNy) |
| 143 |
|
|
Dij=hDiv(sNx,sNy+1) |
| 144 |
|
|
endif |
| 145 |
|
|
ENDIF |
| 146 |
|
|
|
| 147 |
adcroft |
1.2 |
c del2u(i,j) = recip_rAw(i,j,bi,bj)*( |
| 148 |
|
|
c & +recip_hFacW(i,j,k,bi,bj)*( Dij-Dmj ) |
| 149 |
|
|
c & -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
| 150 |
|
|
c del2u(i,j) = recip_rAw(i,j,bi,bj)*( |
| 151 |
|
|
c & + ( Dij-Dmj ) |
| 152 |
|
|
c & -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij ) ) |
| 153 |
|
|
del2u(i,j) = |
| 154 |
afe |
1.4 |
& + ( uDij-Dmj )*recip_DXC(i,j,bi,bj) |
| 155 |
jmc |
1.3 |
& -recip_hFacW(i,j,k,bi,bj)*( Zip-Zij )*recip_DYG(i,j,bi,bj) |
| 156 |
adcroft |
1.2 |
|
| 157 |
|
|
c del2v(i,j) = recip_rAs(i,j,bi,bj)*( |
| 158 |
|
|
c & recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij ) |
| 159 |
|
|
c & +recip_hFacS(i,j,k,bi,bj)*( Dij-Dim ) ) |
| 160 |
|
|
c del2v(i,j) = recip_rAs(i,j,bi,bj)*( |
| 161 |
|
|
c & recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij ) |
| 162 |
|
|
c & + ( Dij-Dim ) ) |
| 163 |
|
|
del2v(i,j) = |
| 164 |
jmc |
1.3 |
& recip_hFacS(i,j,k,bi,bj)*( Zpj-Zij )*recip_DXG(i,j,bi,bj) |
| 165 |
adcroft |
1.2 |
& + ( Dij-Dim )*recip_DYC(i,j,bi,bj) |
| 166 |
|
|
|
| 167 |
|
|
ENDDO |
| 168 |
|
|
ENDDO |
| 169 |
|
|
|
| 170 |
|
|
RETURN |
| 171 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph