| 1 |
ksnow |
1.1 |
C $Header: /u/gcmpack/MITgcm/pkg/shelfice/shelfice_u_drag.F,v 1.12 2015/02/14 21:58:05 jmc Exp $ |
| 2 |
|
|
C $Name: $ |
| 3 |
|
|
|
| 4 |
|
|
#include "SHELFICE_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
|
|
CBOP |
| 7 |
|
|
C !ROUTINE: SHELFICE_U_DRAG |
| 8 |
|
|
|
| 9 |
|
|
C !INTERFACE: ========================================================== |
| 10 |
|
|
SUBROUTINE SHELFICE_U_DRAG( |
| 11 |
|
|
I bi, bj, k, |
| 12 |
|
|
I uFld, vFld, KE, kappaRU, |
| 13 |
|
|
O uDragTerms, |
| 14 |
|
|
I myThid ) |
| 15 |
|
|
|
| 16 |
|
|
C !DESCRIPTION: |
| 17 |
|
|
C Calculates the drag due to friction and the no-slip condition at the |
| 18 |
|
|
C bottom of the shelf-ice (in analogy to bottom drag) |
| 19 |
|
|
C \begin{equation*} |
| 20 |
|
|
C G^u_{drag} = - ( r_b + C_D |v| + \frac{2}{\Delta r_c} ) u |
| 21 |
|
|
C \end{equation*} |
| 22 |
|
|
|
| 23 |
|
|
C !USES: =============================================================== |
| 24 |
|
|
IMPLICIT NONE |
| 25 |
|
|
#include "SIZE.h" |
| 26 |
|
|
#include "EEPARAMS.h" |
| 27 |
|
|
#include "PARAMS.h" |
| 28 |
|
|
#include "GRID.h" |
| 29 |
|
|
#include "SHELFICE.h" |
| 30 |
|
|
#include "MOM_VISC.h" |
| 31 |
|
|
|
| 32 |
|
|
C !INPUT PARAMETERS: =================================================== |
| 33 |
|
|
C bi,bj :: tile indices |
| 34 |
|
|
C k :: vertical level |
| 35 |
|
|
C uFld :: zonal flow |
| 36 |
|
|
C vFld :: meridional flow |
| 37 |
|
|
C KE :: Kinetic energy |
| 38 |
|
|
C kappaRU :: vertical viscosity |
| 39 |
|
|
C myThid :: thread number |
| 40 |
|
|
INTEGER bi,bj,k |
| 41 |
|
|
_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 42 |
|
|
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 43 |
|
|
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 44 |
|
|
_RL kappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 45 |
|
|
INTEGER myThid |
| 46 |
|
|
|
| 47 |
|
|
C !OUTPUT PARAMETERS: ================================================== |
| 48 |
|
|
C uDragTerms :: drag term |
| 49 |
|
|
_RL uDragTerms(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 50 |
|
|
#ifdef IMPLICIT_BOTTOMSIDEDRAG |
| 51 |
|
|
_RL uDragTermsIn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 52 |
|
|
#endif |
| 53 |
|
|
|
| 54 |
|
|
#ifdef ALLOW_SHELFICE |
| 55 |
|
|
C !LOCAL VARIABLES : ==================================================== |
| 56 |
|
|
C i,j :: loop indices |
| 57 |
|
|
C Kp1 :: =k+1 for k<Nr, =Nr for k>=Nr |
| 58 |
|
|
INTEGER i,j,kUpC,kTop |
| 59 |
|
|
_RL viscFac, uSq |
| 60 |
|
|
_RL rdrckp1 |
| 61 |
|
|
CEOP |
| 62 |
|
|
|
| 63 |
|
|
#ifdef IMPLICIT_BOTTOMSIDEDRAG |
| 64 |
|
|
DO j=1-OLy,sNy+OLy |
| 65 |
|
|
DO i=1-OLx,sNx+OLx |
| 66 |
|
|
uDragTermsIn(i,j) = uDragTerms(i,j) |
| 67 |
|
|
uDragTerms(i,j) = 0. |
| 68 |
|
|
ENDDO |
| 69 |
|
|
ENDDO |
| 70 |
|
|
#endif |
| 71 |
|
|
|
| 72 |
|
|
C- No-slip BCs impose a drag at top |
| 73 |
|
|
IF ( usingZCoords ) THEN |
| 74 |
|
|
kTop = 1 |
| 75 |
|
|
kUpC = k |
| 76 |
|
|
ELSE |
| 77 |
|
|
kTop = Nr |
| 78 |
|
|
kUpC = k+1 |
| 79 |
|
|
ENDIF |
| 80 |
|
|
rdrckp1=recip_drC(kUpC) |
| 81 |
|
|
CML IF (k.EQ.kTop) rdrckp1=recip_drF(k) |
| 82 |
|
|
viscFac=0. |
| 83 |
|
|
IF (no_slip_shelfice) viscFac=2. |
| 84 |
|
|
|
| 85 |
|
|
C-- Friction at the bottom of ice-shelf (no-slip BC) |
| 86 |
|
|
IF ( no_slip_shelfice ) THEN |
| 87 |
|
|
C- ignores partial-cell reduction of the distance to the surface |
| 88 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 89 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 90 |
|
|
IF ( k.EQ.MAX( kTopC(i-1,j,bi,bj),kTopC(i,j,bi,bj) ) ) THEN |
| 91 |
|
|
uDragTerms(i,j) = |
| 92 |
|
|
& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 93 |
|
|
& * kappaRU(i,j,kUpC)*rdrckp1*viscFac |
| 94 |
|
|
#ifndef IMPLICIT_BOTTOMSIDEDRAG |
| 95 |
|
|
& * uFld(i,j) |
| 96 |
|
|
#endif |
| 97 |
|
|
ELSE |
| 98 |
|
|
uDragTerms(i,j) = 0. _d 0 |
| 99 |
|
|
ENDIF |
| 100 |
|
|
ENDDO |
| 101 |
|
|
ENDDO |
| 102 |
|
|
ELSE |
| 103 |
|
|
DO j=1-OLy,sNy+OLy |
| 104 |
|
|
DO i=1-OLx,sNx+OLx |
| 105 |
|
|
uDragTerms(i,j) = 0. _d 0 |
| 106 |
|
|
ENDDO |
| 107 |
|
|
ENDDO |
| 108 |
|
|
ENDIF |
| 109 |
|
|
IF ( no_slip_shelfice .AND. bottomVisc_pCell ) THEN |
| 110 |
|
|
C- friction accounts for true distance (including hFac) to the surface |
| 111 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 112 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 113 |
|
|
uDragTerms(i,j) = uDragTerms(i,j) |
| 114 |
|
|
& * _recip_hFacW(i,j,k,bi,bj) |
| 115 |
|
|
ENDDO |
| 116 |
|
|
ENDDO |
| 117 |
|
|
ENDIF |
| 118 |
|
|
|
| 119 |
|
|
C-- Add Linear drag: |
| 120 |
|
|
IF ( SHELFICEDragLinear.NE.zeroRL ) THEN |
| 121 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 122 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 123 |
|
|
IF ( k.EQ.MAX( kTopC(i-1,j,bi,bj),kTopC(i,j,bi,bj) ) ) THEN |
| 124 |
|
|
uDragTerms(i,j) = uDragTerms(i,j) |
| 125 |
|
|
& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 126 |
|
|
& * SHELFICEDragLinear |
| 127 |
|
|
#ifndef IMPLICIT_BOTTOMSIDEDRAG |
| 128 |
|
|
& * uFld(i,j) |
| 129 |
|
|
#endif |
| 130 |
|
|
|
| 131 |
|
|
ENDIF |
| 132 |
|
|
ENDDO |
| 133 |
|
|
ENDDO |
| 134 |
|
|
ENDIF |
| 135 |
|
|
|
| 136 |
|
|
C-- Add quadratic drag |
| 137 |
|
|
IF ( SHELFICEselectDragQuadr.EQ.0 ) THEN |
| 138 |
|
|
C- average grid-cell-center KE to get velocity norm @ U.pt |
| 139 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 140 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 141 |
|
|
uSq = 0. _d 0 |
| 142 |
|
|
IF ( k.EQ.MAX( kTopC(i-1,j,bi,bj),kTopC(i,j,bi,bj) ) ) THEN |
| 143 |
|
|
uSq = KE(i,j)+KE(i-1,j) |
| 144 |
|
|
ENDIF |
| 145 |
|
|
IF ( uSq.GT.zeroRL ) THEN |
| 146 |
|
|
uDragTerms(i,j) = uDragTerms(i,j) |
| 147 |
|
|
& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 148 |
|
|
& * SHELFICEDragQuadratic*SQRT(uSq) |
| 149 |
|
|
#ifndef IMPLICIT_BOTTOMSIDEDRAG |
| 150 |
|
|
& * uFld(i,j) |
| 151 |
|
|
#endif |
| 152 |
|
|
|
| 153 |
|
|
ENDIF |
| 154 |
|
|
ENDDO |
| 155 |
|
|
ENDDO |
| 156 |
|
|
ELSEIF ( SHELFICEselectDragQuadr.EQ.1 ) THEN |
| 157 |
|
|
C- calculate locally velocity norm @ U.pt (local U & 4 V averaged) |
| 158 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 159 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 160 |
|
|
uSq = 0. _d 0 |
| 161 |
|
|
IF ( k.EQ.MAX( kTopC(i-1,j,bi,bj),kTopC(i,j,bi,bj) ) ) THEN |
| 162 |
|
|
uSq = uFld(i,j)*uFld(i,j) |
| 163 |
|
|
& + ( (vFld(i-1, j )*vFld(i-1, j )*hFacS(i-1, j ,k,bi,bj) |
| 164 |
|
|
& +vFld( i , j )*vFld( i , j )*hFacS( i , j ,k,bi,bj)) |
| 165 |
|
|
& + (vFld(i-1,j+1)*vFld(i-1,j+1)*hFacS(i-1,j+1,k,bi,bj) |
| 166 |
|
|
& +vFld( i ,j+1)*vFld( i ,j+1)*hFacS( i ,j+1,k,bi,bj)) |
| 167 |
|
|
& )*recip_hFacW(i,j,k,bi,bj)*0.25 _d 0 |
| 168 |
|
|
ENDIF |
| 169 |
|
|
IF ( uSq.GT.zeroRL ) THEN |
| 170 |
|
|
uDragTerms(i,j) = uDragTerms(i,j) |
| 171 |
|
|
& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 172 |
|
|
& * SHELFICEDragQuadratic*SQRT(uSq) |
| 173 |
|
|
#ifndef IMPLICIT_BOTTOMSIDEDRAG |
| 174 |
|
|
& * uFld(i,j) |
| 175 |
|
|
#endif |
| 176 |
|
|
|
| 177 |
|
|
ENDIF |
| 178 |
|
|
ENDDO |
| 179 |
|
|
ENDDO |
| 180 |
|
|
ELSEIF ( SHELFICEselectDragQuadr.EQ.2 ) THEN |
| 181 |
|
|
C- same as above but using wet-point method to average 4 V |
| 182 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 183 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 184 |
|
|
uSq = 0. _d 0 |
| 185 |
|
|
IF ( k.EQ.MAX( kTopC(i-1,j,bi,bj),kTopC(i,j,bi,bj) ) ) THEN |
| 186 |
|
|
uSq = ( hFacS(i-1, j ,k,bi,bj) + hFacS( i , j ,k,bi,bj) ) |
| 187 |
|
|
& + ( hFacS(i-1,j+1,k,bi,bj) + hFacS( i ,j+1,k,bi,bj) ) |
| 188 |
|
|
IF ( uSq.GT.zeroRL ) THEN |
| 189 |
|
|
uSq = uFld(i,j)*uFld(i,j) |
| 190 |
|
|
& +( (vFld(i-1, j )*vFld(i-1, j )*hFacS(i-1, j ,k,bi,bj) |
| 191 |
|
|
& +vFld( i , j )*vFld( i , j )*hFacS( i , j ,k,bi,bj)) |
| 192 |
|
|
& + (vFld(i-1,j+1)*vFld(i-1,j+1)*hFacS(i-1,j+1,k,bi,bj) |
| 193 |
|
|
& +vFld( i ,j+1)*vFld( i ,j+1)*hFacS( i ,j+1,k,bi,bj)) |
| 194 |
|
|
& )/uSq |
| 195 |
|
|
ELSE |
| 196 |
|
|
uSq = uFld(i,j)*uFld(i,j) |
| 197 |
|
|
ENDIF |
| 198 |
|
|
ENDIF |
| 199 |
|
|
IF ( uSq.GT.zeroRL ) THEN |
| 200 |
|
|
uDragTerms(i,j) = uDragTerms(i,j) |
| 201 |
|
|
& - _recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 202 |
|
|
& * SHELFICEDragQuadratic*SQRT(uSq) |
| 203 |
|
|
#ifndef IMPLICIT_BOTTOMSIDEDRAG |
| 204 |
|
|
& * uFld(i,j) |
| 205 |
|
|
#endif |
| 206 |
|
|
|
| 207 |
|
|
ENDIF |
| 208 |
|
|
ENDDO |
| 209 |
|
|
ENDDO |
| 210 |
|
|
ENDIF |
| 211 |
|
|
|
| 212 |
|
|
#ifdef IMPLICIT_BOTTOMSIDEDRAG |
| 213 |
|
|
DO j=1-OLy,sNy+OLy-1 |
| 214 |
|
|
DO i=1-OLx+1,sNx+OLx-1 |
| 215 |
|
|
! IF (kSurfW(i,j,bi,bj).eq.kLowC(i,j,bi,bj).or. |
| 216 |
|
|
! & kSurfW(i,j,bi,bj).eq.kLowC(i-1,j,bi,bj)) THEN |
| 217 |
|
|
IF (.TRUE.) THEN |
| 218 |
|
|
uDragTermsCommon(i,j,k,bi,bj) = |
| 219 |
|
|
& uDragTermsCommon(i,j,k,bi,bj) + |
| 220 |
|
|
& uDragTerms(i,j) |
| 221 |
|
|
uDragTerms(i,j) = uDragTermsIn(i,j) |
| 222 |
|
|
ELSE |
| 223 |
|
|
uDragTerms(i,j) = uDragTerms(i,j)*uFld(i,j) / |
| 224 |
|
|
& (1. - deltaTmom*uDragTerms(i,j)) |
| 225 |
|
|
ENDIF |
| 226 |
|
|
ENDDO |
| 227 |
|
|
ENDDO |
| 228 |
|
|
#endif |
| 229 |
|
|
|
| 230 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
| 231 |
|
|
IF ( useDiagnostics .AND. |
| 232 |
|
|
& ( no_slip_shelfice .OR. SHELFICEDragLinear.NE.zeroRL |
| 233 |
|
|
& .OR. SHELFICEselectDragQuadr.GE.0 ) |
| 234 |
|
|
& ) THEN |
| 235 |
|
|
CALL DIAGNOSTICS_FILL(uDragTerms,'SHIUDrag',k,1,2,bi,bj,myThid) |
| 236 |
|
|
ENDIF |
| 237 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
| 238 |
|
|
#endif /* ALLOW_SHELFICE */ |
| 239 |
|
|
|
| 240 |
|
|
RETURN |
| 241 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph