| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_common/mom_calc_smag_3d.F,v 1.1 2013/11/05 13:31:50 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "MOM_COMMON_OPTIONS.h" |
| 5 |
|
| 6 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 7 |
CBOP |
| 8 |
C !ROUTINE: MOM_CALC_SMAG_3D |
| 9 |
|
| 10 |
C !INTERFACE: |
| 11 |
SUBROUTINE MOM_CALC_SMAG_3D( |
| 12 |
I str11, str22, str33, str12, str13, str23, |
| 13 |
O viscAh3d_00, viscAh3d_12, |
| 14 |
O viscAh3d_13, viscAh3d_23, |
| 15 |
I smag3D_hLsC, smag3D_hLsW, smag3D_hLsS, smag3D_hLsZ, |
| 16 |
I k, bi, bj, myThid ) |
| 17 |
|
| 18 |
C !DESCRIPTION: |
| 19 |
C Calculate Smagorinsky 3-D (harmonic) viscosities |
| 20 |
C at current level k (for viscAh3d_00 & viscAh3d_12) |
| 21 |
C and at level k+1 (for viscAh3d_13 & viscAh3d_23) |
| 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 |
c#include "MOM_VISC.h" |
| 32 |
|
| 33 |
C !INPUT PARAMETERS: |
| 34 |
C str11 :: strain component Vxx @ grid-cell center |
| 35 |
C str22 :: strain component Vyy @ grid-cell center |
| 36 |
C str33 :: strain component Vzz @ grid-cell center |
| 37 |
C str12 :: strain component Vxy @ grid-cell corner |
| 38 |
C str13 :: strain component Vxz @ above uVel |
| 39 |
C str23 :: strain component Vyz @ above vVel |
| 40 |
C smag3D_hLsC :: horiz. grid length scale (power 2/3) at grid cell center |
| 41 |
C smag3D_hLsW :: horiz. grid length scale (power 2/3) at western edge |
| 42 |
C smag3D_hLsS :: horiz. grid length scale (power 2/3) at southern egde |
| 43 |
C smag3D_hLsZ :: horiz. grid length scale (power 2/3) at grid cell corner |
| 44 |
C k :: current level index |
| 45 |
C bi, bj :: tile indices |
| 46 |
C myThid :: my Thread Id number |
| 47 |
_RL str11(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 48 |
_RL str22(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 49 |
_RL str33(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 50 |
_RL str12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 51 |
_RL str13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 52 |
_RL str23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 53 |
_RS smag3D_hLsC(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 54 |
_RS smag3D_hLsW(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 55 |
_RS smag3D_hLsS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 56 |
_RS smag3D_hLsZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
| 57 |
INTEGER k, bi, bj |
| 58 |
INTEGER myThid |
| 59 |
|
| 60 |
C !OUTPUT PARAMETERS: |
| 61 |
C viscAh3d_00 :: Smagorinsky viscosity @ grid-cell center |
| 62 |
C viscAh3d_12 :: Smagorinsky viscosity @ grid-cell corner |
| 63 |
C viscAh3d_13 :: Smagorinsky viscosity @ above uVel |
| 64 |
C viscAh3d_23 :: Smagorinsky viscosity @ above vVel |
| 65 |
_RL viscAh3d_00(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 66 |
_RL viscAh3d_12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 67 |
_RL viscAh3d_13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 68 |
_RL viscAh3d_23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 69 |
CEOP |
| 70 |
|
| 71 |
#ifdef ALLOW_SMAG_3D |
| 72 |
C !LOCAL VARIABLES: |
| 73 |
C S66 :: Sum of squared of the 3 strain component @ grid-cell center |
| 74 |
C S12 :: Squared of strain component Vxy @ grid-cell corner |
| 75 |
C S13 :: Squared of strain component Vxz @ above uVel |
| 76 |
C S23 :: Squared of strain component Vyz @ above vVel |
| 77 |
INTEGER i, j |
| 78 |
INTEGER kl, n |
| 79 |
_RL twoThird, tmpFac |
| 80 |
_RL S66(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 81 |
_RL S12(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 82 |
_RL S13(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 83 |
_RL S23(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 84 |
|
| 85 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 86 |
|
| 87 |
twoThird = 2. _d 0 / 3. _d 0 |
| 88 |
|
| 89 |
DO n=1,2 |
| 90 |
kl = k + n - 1 |
| 91 |
IF ( kl.LE.Nr ) THEN |
| 92 |
DO j=1-OLy,sNy+OLy |
| 93 |
DO i=1-OLx,sNx+OLx |
| 94 |
S66(i,j,n) = str11(i,j,kl)**2 |
| 95 |
& + str22(i,j,kl)**2 |
| 96 |
& + str33(i,j,kl)**2 |
| 97 |
S12(i,j,n) = str12(i,j,kl)**2 |
| 98 |
ENDDO |
| 99 |
ENDDO |
| 100 |
ELSE |
| 101 |
DO j=1-OLy,sNy+OLy |
| 102 |
DO i=1-OLx,sNx+OLx |
| 103 |
S66(i,j,n) = 0. _d 0 |
| 104 |
S12(i,j,n) = 0. _d 0 |
| 105 |
ENDDO |
| 106 |
ENDDO |
| 107 |
ENDIF |
| 108 |
DO j=1-OLy,sNy+OLy |
| 109 |
DO i=1-OLx,sNx+OLx |
| 110 |
S13(i,j,n) = str13(i,j,kl)**2 |
| 111 |
S23(i,j,n) = str23(i,j,kl)**2 |
| 112 |
ENDDO |
| 113 |
ENDDO |
| 114 |
ENDDO |
| 115 |
|
| 116 |
C-- ------------------------------------------------------------------ |
| 117 |
C-- calculate current level Smag viscosity coeff |
| 118 |
C-- ------------------------------------------------------------------ |
| 119 |
|
| 120 |
C Current level k --> n=1 |
| 121 |
kl = k |
| 122 |
n = 1 |
| 123 |
tmpFac = smag3D_coeff*twoRL*SQRT(twoRL)*drF(kl)**twoThird |
| 124 |
|
| 125 |
C viscAh3d_00 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ grid-cell center |
| 126 |
|
| 127 |
DO j=1-OLy,sNy+OLy-1 |
| 128 |
DO i=1-OLx,sNx+OLx-1 |
| 129 |
viscAh3d_00(i,j,kl) = |
| 130 |
& smag3D_hLsC(i,j,bi,bj)*tmpFac*SQRT( |
| 131 |
& S66( i , j , n ) |
| 132 |
& + 0.5*( S12( i ,j+1, n )+S12(i+1,j+1, n ) |
| 133 |
& +S12( i , j , n )+S12(i+1, j , n ) ) |
| 134 |
& + 0.5*( S13( i , j , n )+S13(i+1, j , n ) |
| 135 |
& +S13( i , j ,n+1)+S13(i+1, j ,n+1) ) |
| 136 |
& + 0.5*( S23( i , j , n )+S23( i ,j+1, n ) |
| 137 |
& +S23( i , j ,n+1)+S23( i ,j+1,n+1) ) |
| 138 |
& ) |
| 139 |
ENDDO |
| 140 |
ENDDO |
| 141 |
|
| 142 |
C viscAh3d_12 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ grid-cell corner |
| 143 |
|
| 144 |
DO j=2-OLy,sNy+OLy |
| 145 |
DO i=2-OLx,sNx+OLx |
| 146 |
viscAh3d_12(i,j,kl) = |
| 147 |
& smag3D_hLsZ(i,j,bi,bj)*tmpFac*SQRT( |
| 148 |
& 0.25*( S66(i-1, j , n )+S66( i , j , n ) |
| 149 |
& +S66(i-1,j-1, n )+S66( i ,j-1, n ) ) |
| 150 |
& + 2.0 * S12( i , j , n ) |
| 151 |
& + 0.5 *( S13( i ,j-1, n )+S13( i , j , n ) |
| 152 |
& +S13( i ,j-1,n+1)+S13( i , j ,n+1) ) |
| 153 |
& + 0.5 *( S23(i-1, j , n )+S23( i , j , n ) |
| 154 |
& +S23(i-1, j ,n+1)+S23( i , j ,n+1) ) |
| 155 |
& ) |
| 156 |
ENDDO |
| 157 |
ENDDO |
| 158 |
|
| 159 |
C-- ------------------------------------------------------------------ |
| 160 |
C-- calculate next level (k+1) viscosity coeff (uz,vz) |
| 161 |
C-- ------------------------------------------------------------------ |
| 162 |
|
| 163 |
IF ( k.EQ.1 ) THEN |
| 164 |
DO j=1-OLy,sNy+OLy |
| 165 |
DO i=1-OLx,sNx+OLx |
| 166 |
viscAh3d_13(i,j,k) = 0. _d 0 |
| 167 |
viscAh3d_23(i,j,k) = 0. _d 0 |
| 168 |
ENDDO |
| 169 |
ENDDO |
| 170 |
ENDIF |
| 171 |
|
| 172 |
C Next level k+1 --> n=2 |
| 173 |
kl = k+1 |
| 174 |
n = 2 |
| 175 |
tmpFac = smag3D_coeff*twoRL*SQRT(twoRL)*drC(kl)**twoThird |
| 176 |
|
| 177 |
C viscAh3d_13 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ above uVel |
| 178 |
|
| 179 |
DO j=1-OLy,sNy+OLy-1 |
| 180 |
DO i=2-OLx,sNx+OLx |
| 181 |
viscAh3d_13(i,j,kl) = |
| 182 |
& smag3D_hLsW(i,j,bi,bj)*tmpFac*SQRT( |
| 183 |
& 0.25*( S66(i-1, j ,n-1)+S66( i , j ,n-1) |
| 184 |
& +S66(i-1, j , n )+S66( i , j , n ) ) |
| 185 |
& + 0.5 *( S12( i , j ,n-1)+S12( i ,j+1,n-1) |
| 186 |
& +S12( i , j , n )+S12( i ,j+1, n ) ) |
| 187 |
& + 2.0 * S13( i , j , n ) |
| 188 |
& + 0.5 *( S23(i-1,j+1, n )+S23( i ,j+1, n ) |
| 189 |
& +S23(i-1, j , n )+S23( i , j , n ) ) |
| 190 |
& ) |
| 191 |
ENDDO |
| 192 |
ENDDO |
| 193 |
|
| 194 |
C viscAh3d_23 = sqrt( S11+S22+S33+2*(S12+S13+S23) ) @ above vVel |
| 195 |
|
| 196 |
DO j=2-OLy,sNy+OLy |
| 197 |
DO i=1-OLx,sNx+OLx-1 |
| 198 |
viscAh3d_23(i,j,kl) = |
| 199 |
& smag3D_hLsS(i,j,bi,bj)*tmpFac*SQRT( |
| 200 |
& 0.25*( S66( i ,j-1,n-1)+S66( i , j ,n-1) |
| 201 |
& +S66( i ,j-1, n )+S66( i , j , n ) ) |
| 202 |
& + 0.5 *( S12( i , j ,n-1)+S12(i+1, j ,n-1) |
| 203 |
& +S12( i , j , n )+S12(i+1, j , n ) ) |
| 204 |
& + 0.5 *( S13( i , j , n )+S13(i+1, j , n ) |
| 205 |
& +S13( i ,j-1, n )+S13(i+1,j-1, n ) ) |
| 206 |
& + 2.0 * S23( i , j , n ) |
| 207 |
& ) |
| 208 |
ENDDO |
| 209 |
ENDDO |
| 210 |
|
| 211 |
#ifdef ALLOW_DIAGNOSTICS |
| 212 |
c IF ( useDiagnostics.AND. k.EQ.Nr ) THEN |
| 213 |
c CALL DIAGNOSTICS_FILL( viscAh3d_00, 'Smag3D_C', |
| 214 |
c & 0, Nr, 2, bi, bj, myThid ) |
| 215 |
c ENDIF |
| 216 |
#endif |
| 217 |
|
| 218 |
#endif /* ALLOW_SMAG_3D */ |
| 219 |
RETURN |
| 220 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph