| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_u3c4_impl_r.F,v 1.8 2006/06/07 01:55:14 heimbach Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GAD_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: GAD_U3C4_IMPL_R |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE GAD_U3C4_IMPL_R( |
| 10 |
I bi,bj,k, iMin,iMax,jMin,jMax, |
| 11 |
I advectionScheme, deltaTarg, rTrans, |
| 12 |
O a5d, b5d, c5d, d5d, e5d, |
| 13 |
I myThid ) |
| 14 |
|
| 15 |
C !DESCRIPTION: |
| 16 |
C Compute matrix element to solve vertical advection implicitly |
| 17 |
C using 3rd order upwind advection scheme, |
| 18 |
C or 3rd order Direct Space and Time advection scheme, |
| 19 |
C or 4th order Centered advection scheme. |
| 20 |
C Method: |
| 21 |
C contribution of vertical transport at interface k is added |
| 22 |
C to matrix lines k and k-1 |
| 23 |
|
| 24 |
C !USES: |
| 25 |
IMPLICIT NONE |
| 26 |
|
| 27 |
C == Global variables === |
| 28 |
#include "SIZE.h" |
| 29 |
#include "GRID.h" |
| 30 |
#include "EEPARAMS.h" |
| 31 |
#include "PARAMS.h" |
| 32 |
#include "GAD.h" |
| 33 |
|
| 34 |
C !INPUT/OUTPUT PARAMETERS: |
| 35 |
C == Routine Arguments == |
| 36 |
C bi,bj :: tile indices |
| 37 |
C k :: vertical level |
| 38 |
C iMin,iMax :: computation domain |
| 39 |
C jMin,jMax :: computation domain |
| 40 |
C advectionScheme :: advection scheme to use |
| 41 |
C deltaTarg :: time step |
| 42 |
C rTrans :: vertical volume transport |
| 43 |
C a5d :: 2nd lower diag of pentadiagonal matrix |
| 44 |
C b5d :: 1rst lower diag of pentadiagonal matrix |
| 45 |
C c5d :: main diag of pentadiagonal matrix |
| 46 |
C d5d :: 1rst upper diag of pentadiagonal matrix |
| 47 |
C e5d :: 2nd upper diag of pentadiagonal matrix |
| 48 |
C myThid :: thread number |
| 49 |
INTEGER bi,bj,k |
| 50 |
INTEGER iMin,iMax,jMin,jMax |
| 51 |
INTEGER advectionScheme |
| 52 |
_RL deltaTarg(Nr) |
| 53 |
_RL rTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 54 |
_RL a5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 55 |
_RL b5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 56 |
_RL c5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 57 |
_RL d5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 58 |
_RL e5d (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 59 |
INTEGER myThid |
| 60 |
|
| 61 |
C == Local Variables == |
| 62 |
C i,j :: loop indices |
| 63 |
C kp1 :: =min( k+1 , Nr ) |
| 64 |
C km2 :: =max( k-2 , 1 ) |
| 65 |
C rCenter :: centered contribution |
| 66 |
C rUpwind :: upwind contribution |
| 67 |
C rC4km, rC4kp :: high order contribution |
| 68 |
C rHigh :: high order term factor |
| 69 |
LOGICAL flagC4 |
| 70 |
INTEGER i,j,kp1,km2 |
| 71 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 72 |
_RL rC4km2D (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 73 |
_RL rC4kp2D (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 74 |
_RL rCenter2D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 75 |
_RL rUpwind2D(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 76 |
#endif |
| 77 |
_RL wCFL, rCenter, rUpwind |
| 78 |
_RL rC4km, rC4kp, rHigh |
| 79 |
_RL mskM, mskP, maskM2, maskP1 |
| 80 |
_RL deltaTcfl |
| 81 |
CEOP |
| 82 |
|
| 83 |
C-- process interior interface only: |
| 84 |
IF ( k.GT.1 .AND. k.LE.Nr ) THEN |
| 85 |
|
| 86 |
km2=MAX(1,k-2) |
| 87 |
kp1=MIN(Nr,k+1) |
| 88 |
maskP1 = 1. _d 0 |
| 89 |
maskM2 = 1. _d 0 |
| 90 |
IF ( k.LE.2 ) maskM2 = 0. _d 0 |
| 91 |
IF ( k.GE.Nr) maskP1 = 0. _d 0 |
| 92 |
flagC4 = advectionScheme.EQ.ENUM_CENTERED_4TH |
| 93 |
& .AND. k.GT.2 .AND. k.LT.Nr |
| 94 |
|
| 95 |
C-- Add centered, upwind and high-order contributions |
| 96 |
deltaTcfl = deltaTarg(k) |
| 97 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 98 |
DO j=jMin,jMax |
| 99 |
DO i=iMin,iMax |
| 100 |
rCenter2D(i,j) = |
| 101 |
& 0.5 _d 0 *rTrans(i,j)*recip_rA(i,j,bi,bj)*rkSign |
| 102 |
mskM = maskC(i,j,km2,bi,bj)*maskM2 |
| 103 |
mskP = maskC(i,j,kp1,bi,bj)*maskP1 |
| 104 |
IF ( flagC4 .AND. mskM*mskP.GT.0. _d 0 ) THEN |
| 105 |
rUpwind2D(i,j) = 0. _d 0 |
| 106 |
rC4km2D (i,j) = oneSixth*rCenter*mskM |
| 107 |
rC4kp2D (i,j) = oneSixth*rCenter*mskP |
| 108 |
ELSEIF ( advectionScheme.EQ.ENUM_DST3 ) THEN |
| 109 |
wCFL = deltaTcfl*ABS(rTrans(i,j)) |
| 110 |
& *recip_rA(i,j,bi,bj)*recip_drC(k) |
| 111 |
rHigh = (1. _d 0 -wCFL*wCFL)*oneSixth |
| 112 |
c rUpwind2D(i,j) = (2. _d 0*rHigh - wCFL)*ABS(rCenter) |
| 113 |
rUpwind2D(i,j) = (2. _d 0*rHigh )*ABS(rCenter) |
| 114 |
rC4km2D (i,j) = rHigh * (rCenter+ABS(rCenter))*mskM |
| 115 |
rC4kp2D (i,j) = rHigh * (rCenter-ABS(rCenter))*mskP |
| 116 |
ELSE |
| 117 |
rUpwind2D(i,j) = 2. _d 0*oneSixth*ABS(rCenter) |
| 118 |
rC4km2D (i,j) = oneSixth*(rCenter+ABS(rCenter))*mskM |
| 119 |
rC4kp2D (i,j) = oneSixth*(rCenter-ABS(rCenter))*mskP |
| 120 |
ENDIF |
| 121 |
ENDDO |
| 122 |
ENDDO |
| 123 |
#endif /* ALLOW_AUTODIFF_TAMC and TARGET_NEC_SX */ |
| 124 |
DO j=jMin,jMax |
| 125 |
DO i=iMin,iMax |
| 126 |
#if (defined ALLOW_AUTODIFF_TAMC && defined TARGET_NEC_SX) |
| 127 |
rC4km = rC4km2D (i,j) |
| 128 |
rC4kp = rC4kp2D (i,j) |
| 129 |
rCenter = rCenter2D(i,j) |
| 130 |
rUpwind = rUpwind2D(i,j) |
| 131 |
#else |
| 132 |
rCenter= 0.5 _d 0 *rTrans(i,j)*recip_rA(i,j,bi,bj)*rkSign |
| 133 |
mskM = maskC(i,j,km2,bi,bj)*maskM2 |
| 134 |
mskP = maskC(i,j,kp1,bi,bj)*maskP1 |
| 135 |
IF ( flagC4 .AND. mskM*mskP.GT.0. _d 0 ) THEN |
| 136 |
rUpwind= 0. _d 0 |
| 137 |
rC4km = oneSixth*rCenter*mskM |
| 138 |
rC4kp = oneSixth*rCenter*mskP |
| 139 |
ELSEIF ( advectionScheme.EQ.ENUM_DST3 ) THEN |
| 140 |
wCFL = deltaTcfl*ABS(rTrans(i,j)) |
| 141 |
& *recip_rA(i,j,bi,bj)*recip_drC(k) |
| 142 |
rHigh = (1. _d 0 -wCFL*wCFL)*oneSixth |
| 143 |
c rUpwind= (2. _d 0*rHigh - wCFL)*ABS(rCenter) |
| 144 |
rUpwind= (2. _d 0*rHigh )*ABS(rCenter) |
| 145 |
rC4km = rHigh * (rCenter+ABS(rCenter))*mskM |
| 146 |
rC4kp = rHigh * (rCenter-ABS(rCenter))*mskP |
| 147 |
ELSE |
| 148 |
rUpwind= 2. _d 0*oneSixth*ABS(rCenter) |
| 149 |
rC4km = oneSixth*(rCenter+ABS(rCenter))*mskM |
| 150 |
rC4kp = oneSixth*(rCenter-ABS(rCenter))*mskP |
| 151 |
ENDIF |
| 152 |
#endif /* ALLOW_AUTODIFF_TAMC and TARGET_NEC_SX */ |
| 153 |
a5d(i,j,k) = a5d(i,j,k) |
| 154 |
& + rC4km |
| 155 |
& *deltaTarg(k) |
| 156 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 157 |
b5d(i,j,k) = b5d(i,j,k) |
| 158 |
& - ( (rCenter+rUpwind) + rC4km ) |
| 159 |
& *deltaTarg(k) |
| 160 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 161 |
c5d(i,j,k) = c5d(i,j,k) |
| 162 |
& - ( (rCenter-rUpwind) + rC4kp ) |
| 163 |
& *deltaTarg(k) |
| 164 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 165 |
d5d(i,j,k) = d5d(i,j,k) |
| 166 |
& + rC4kp |
| 167 |
& *deltaTarg(k) |
| 168 |
& *_recip_hFacC(i,j,k,bi,bj)*recip_drF(k) |
| 169 |
b5d(i,j,k-1) = b5d(i,j,k-1) |
| 170 |
& - rC4km |
| 171 |
& *deltaTarg(k-1) |
| 172 |
& *_recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
| 173 |
c5d(i,j,k-1) = c5d(i,j,k-1) |
| 174 |
& + ( (rCenter+rUpwind) + rC4km ) |
| 175 |
& *deltaTarg(k-1) |
| 176 |
& *_recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
| 177 |
d5d(i,j,k-1) = d5d(i,j,k-1) |
| 178 |
& + ( (rCenter-rUpwind) + rC4kp ) |
| 179 |
& *deltaTarg(k-1) |
| 180 |
& *_recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
| 181 |
e5d(i,j,k-1) = e5d(i,j,k-1) |
| 182 |
& - rC4kp |
| 183 |
& *deltaTarg(k-1) |
| 184 |
& *_recip_hFacC(i,j,k-1,bi,bj)*recip_drF(k-1) |
| 185 |
ENDDO |
| 186 |
ENDDO |
| 187 |
|
| 188 |
C-- process interior interface only: end |
| 189 |
ENDIF |
| 190 |
|
| 191 |
RETURN |
| 192 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph