| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vi_u_coriolis_c4.F,v 1.12 2009/06/28 01:08:26 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "MOM_VECINV_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: MOM_VI_U_CORIOLIS_C4 |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE MOM_VI_U_CORIOLIS_C4( |
| 10 |
I bi,bj,k, |
| 11 |
I vFld,omega3,r_hFacZ, |
| 12 |
O uCoriolisTerm, |
| 13 |
I myThid) |
| 14 |
C !DESCRIPTION: \bv |
| 15 |
C *==========================================================* |
| 16 |
C | S/R MOM_VI_U_CORIOLIS_C4 |
| 17 |
C |==========================================================* |
| 18 |
C | o Calculate flux (in Y-dir.) of vorticity at U point |
| 19 |
C | using 4th order (or 1rst order) interpolation |
| 20 |
C *==========================================================* |
| 21 |
C \ev |
| 22 |
|
| 23 |
C !USES: |
| 24 |
IMPLICIT NONE |
| 25 |
|
| 26 |
C == Global variables == |
| 27 |
#include "SIZE.h" |
| 28 |
#include "EEPARAMS.h" |
| 29 |
#include "PARAMS.h" |
| 30 |
#include "GRID.h" |
| 31 |
#ifdef ALLOW_EXCH2 |
| 32 |
#include "W2_EXCH2_SIZE.h" |
| 33 |
#include "W2_EXCH2_TOPOLOGY.h" |
| 34 |
#endif /* ALLOW_EXCH2 */ |
| 35 |
|
| 36 |
C !INPUT/OUTPUT PARAMETERS: |
| 37 |
C == Routine arguments == |
| 38 |
INTEGER bi,bj,k |
| 39 |
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 40 |
_RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 41 |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 42 |
_RL uCoriolisTerm(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 43 |
INTEGER myThid |
| 44 |
CEOP |
| 45 |
|
| 46 |
C == Local variables == |
| 47 |
C msgBuf :: Informational/error meesage buffer |
| 48 |
CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 49 |
INTEGER i,j |
| 50 |
_RL vort3r(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 51 |
_RL vBarXY,vort3u,Rjp,Rjm,Rj |
| 52 |
_RL vBarXm,vBarXp |
| 53 |
|
| 54 |
LOGICAL northWestCorner, northEastCorner, |
| 55 |
& southWestCorner, southEastCorner |
| 56 |
INTEGER myFace |
| 57 |
#ifdef ALLOW_EXCH2 |
| 58 |
INTEGER myTile |
| 59 |
#endif /* ALLOW_EXCH2 */ |
| 60 |
_RL oneSixth, oneTwelve |
| 61 |
LOGICAL fourthVort3 |
| 62 |
C jmc: not sure about these 1/6 & 1/12 factors (should use the same) |
| 63 |
PARAMETER(oneSixth=1.D0/6.D0 , oneTwelve=1.D0/12.D0) |
| 64 |
PARAMETER(fourthVort3=.TRUE. ) |
| 65 |
|
| 66 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 67 |
|
| 68 |
DO j=1-Oly,sNy+Oly |
| 69 |
DO i=1-Olx,sNx+Olx |
| 70 |
vort3r(i,j) = r_hFacZ(i,j)*omega3(i,j) |
| 71 |
ENDDO |
| 72 |
ENDDO |
| 73 |
|
| 74 |
C-- Special stuff for Cubed Sphere |
| 75 |
IF ( useCubedSphereExchange.AND.highOrderVorticity ) THEN |
| 76 |
|
| 77 |
#ifdef ALLOW_EXCH2 |
| 78 |
myTile = W2_myTileList(bi,bj) |
| 79 |
myFace = exch2_myFace(myTile) |
| 80 |
southWestCorner = exch2_isWedge(myTile).EQ.1 |
| 81 |
& .AND. exch2_isSedge(myTile).EQ.1 |
| 82 |
southEastCorner = exch2_isEedge(myTile).EQ.1 |
| 83 |
& .AND. exch2_isSedge(myTile).EQ.1 |
| 84 |
northEastCorner = exch2_isEedge(myTile).EQ.1 |
| 85 |
& .AND. exch2_isNedge(myTile).EQ.1 |
| 86 |
northWestCorner = exch2_isWedge(myTile).EQ.1 |
| 87 |
& .AND. exch2_isNedge(myTile).EQ.1 |
| 88 |
#else |
| 89 |
myFace = bi |
| 90 |
southWestCorner = .TRUE. |
| 91 |
southEastCorner = .TRUE. |
| 92 |
northWestCorner = .TRUE. |
| 93 |
northEastCorner = .TRUE. |
| 94 |
#endif /* ALLOW_EXCH2 */ |
| 95 |
IF ( southWestCorner ) THEN |
| 96 |
i = 1 |
| 97 |
j = 1 |
| 98 |
vort3r(i,j-1) = ( vort3r(i,j-1) + vort3r(i+1,j) )*0.5 _d 0 |
| 99 |
ENDIF |
| 100 |
IF ( southEastCorner ) THEN |
| 101 |
i = sNx+1 |
| 102 |
j = 1 |
| 103 |
vort3r(i,j-1) = ( vort3r(i,j-1) + vort3r(i-1,j) )*0.5 _d 0 |
| 104 |
ENDIF |
| 105 |
IF ( northWestCorner ) THEN |
| 106 |
i = 1 |
| 107 |
j = sNy+1 |
| 108 |
vort3r(i,j+1) = ( vort3r(i,j+1) + vort3r(i+1,j) )*0.5 _d 0 |
| 109 |
ENDIF |
| 110 |
IF ( northEastCorner ) THEN |
| 111 |
i = sNx+1 |
| 112 |
j = sNy+1 |
| 113 |
vort3r(i,j+1) = ( vort3r(i,j+1) + vort3r(i-1,j) )*0.5 _d 0 |
| 114 |
ENDIF |
| 115 |
|
| 116 |
C-- End of special stuff for Cubed Sphere. |
| 117 |
ENDIF |
| 118 |
|
| 119 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 120 |
|
| 121 |
IF ( selectVortScheme.EQ.0 ) THEN |
| 122 |
C-- using Sadourny Enstrophy conserving discretization: |
| 123 |
|
| 124 |
c DO j=2-Oly,sNy+Oly-2 |
| 125 |
c DO i=2-Olx,sNx+Olx |
| 126 |
DO j=1,sNy |
| 127 |
DO i=1,sNx+1 |
| 128 |
|
| 129 |
vBarXY=0.25*( |
| 130 |
& (vFld( i , j )*dxG( i , j ,bi,bj)*_hFacS( i , j ,k,bi,bj) |
| 131 |
& +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*_hFacS(i-1, j ,k,bi,bj)) |
| 132 |
& +(vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*_hFacS( i ,j+1,k,bi,bj) |
| 133 |
& +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*_hFacS(i-1,j+1,k,bi,bj)) |
| 134 |
& ) |
| 135 |
IF (upwindVorticity) THEN |
| 136 |
IF (vBarXY.GT.0.) THEN |
| 137 |
vort3u=vort3r(i,j) |
| 138 |
ELSE |
| 139 |
vort3u=vort3r(i,j+1) |
| 140 |
ENDIF |
| 141 |
ELSEIF (fourthVort3) THEN |
| 142 |
#ifdef ALLOW_OBCS |
| 143 |
Rjp = ( vort3r(i,j+2) - vort3r(i,j+1) )*maskInW(i,j+1,bi,bj) |
| 144 |
Rjm = ( vort3r(i, j ) - vort3r(i,j-1) )*maskInW(i,j-1,bi,bj) |
| 145 |
#else |
| 146 |
Rjp = vort3r(i,j+2) - vort3r(i,j+1) |
| 147 |
Rjm = vort3r(i, j ) - vort3r(i,j-1) |
| 148 |
#endif |
| 149 |
vort3u=0.5*( (vort3r(i,j) + vort3r(i,j+1)) |
| 150 |
& -oneTwelve*(Rjp-Rjm) |
| 151 |
& ) |
| 152 |
ELSE |
| 153 |
vort3u=0.5*( vort3r(i,j) + vort3r(i,j+1) ) |
| 154 |
ENDIF |
| 155 |
|
| 156 |
uCoriolisTerm(i,j) = vort3u*vBarXY*recip_dxC(i,j,bi,bj) |
| 157 |
& * _maskW(i,j,k,bi,bj) |
| 158 |
|
| 159 |
ENDDO |
| 160 |
ENDDO |
| 161 |
|
| 162 |
ELSEIF ( selectVortScheme.EQ.2 ) THEN |
| 163 |
C-- using Energy conserving discretization: |
| 164 |
|
| 165 |
c DO j=2-Oly,sNy+Oly-2 |
| 166 |
c DO i=2-Olx,sNx+Olx |
| 167 |
DO j=1,sNy |
| 168 |
DO i=1,sNx+1 |
| 169 |
|
| 170 |
vBarXm=0.5*( |
| 171 |
& vFld( i , j )*dxG( i , j ,bi,bj)*_hFacS( i , j ,k,bi,bj) |
| 172 |
& +vFld(i-1, j )*dxG(i-1, j ,bi,bj)*_hFacS(i-1, j ,k,bi,bj) ) |
| 173 |
vBarXp=0.5*( |
| 174 |
& vFld( i ,j+1)*dxG( i ,j+1,bi,bj)*_hFacS( i ,j+1,k,bi,bj) |
| 175 |
& +vFld(i-1,j+1)*dxG(i-1,j+1,bi,bj)*_hFacS(i-1,j+1,k,bi,bj) ) |
| 176 |
IF (upwindVorticity) THEN |
| 177 |
IF ( (vBarXm+vBarXp) .GT.0.) THEN |
| 178 |
vort3u=vBarXm*vort3r(i, j ) |
| 179 |
ELSE |
| 180 |
vort3u=vBarXp*vort3r(i,j+1) |
| 181 |
ENDIF |
| 182 |
ELSEIF (fourthVort3) THEN |
| 183 |
#ifdef ALLOW_OBCS |
| 184 |
Rjp = ( vort3r(i,j+2) - vort3r(i,j+1) )*maskInW(i,j+1,bi,bj) |
| 185 |
Rjm = ( vort3r(i, j ) - vort3r(i,j-1) )*maskInW(i,j-1,bi,bj) |
| 186 |
#else |
| 187 |
Rjp = vort3r(i,j+2) - vort3r(i,j+1) |
| 188 |
Rjm = vort3r(i, j ) - vort3r(i,j-1) |
| 189 |
#endif |
| 190 |
Rj = vort3r(i,j+1) - vort3r(i, j ) |
| 191 |
Rjp = vort3r(i,j+1) -oneSixth*( Rjp+Rj ) |
| 192 |
Rjm = vort3r(i, j ) +oneSixth*( Rj+Rjm ) |
| 193 |
c Rjp = vort3r(i,j+1) -oneSixth*( vort3r(i,j+2)-vort3r(i, j ) ) |
| 194 |
c Rjm = vort3r(i, j ) +oneSixth*( vort3r(i,j+1)-vort3r(i,j-1) ) |
| 195 |
vort3u=0.5*( vBarXm*Rjm + vBarXp*Rjp ) |
| 196 |
ELSE |
| 197 |
vort3u=0.5*( vBarXm*vort3r(i, j ) + vBarXp*vort3r(i,j+1) ) |
| 198 |
ENDIF |
| 199 |
|
| 200 |
uCoriolisTerm(i,j) = vort3u*recip_dxC(i,j,bi,bj) |
| 201 |
& * _maskW(i,j,k,bi,bj) |
| 202 |
|
| 203 |
ENDDO |
| 204 |
ENDDO |
| 205 |
|
| 206 |
ELSE |
| 207 |
WRITE(msgBuf,'(A,I5,A)') |
| 208 |
& 'MOM_VI_U_CORIOLIS_C4: selectVortScheme=', selectVortScheme, |
| 209 |
& ' not implemented' |
| 210 |
CALL PRINT_ERROR( msgBuf, myThid ) |
| 211 |
STOP 'ABNORMAL END: S/R MOM_VI_U_CORIOLIS_C4' |
| 212 |
|
| 213 |
ENDIF |
| 214 |
|
| 215 |
RETURN |
| 216 |
END |