| 1 |
dgoldberg |
1.1 |
C $Header: /u/gcmpack/MITgcm_contrib/dgoldberg/streamice/streamice_advect_thickness_x.F,v 1.4 2012/09/18 17:06:48 dgoldberg Exp $ |
| 2 |
|
|
C $Name: $ |
| 3 |
|
|
|
| 4 |
|
|
#include "STREAMICE_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 7 |
|
|
|
| 8 |
|
|
SUBROUTINE STREAMICE_ADV_FLUX_FL_X ( myThid , |
| 9 |
|
|
I UADV , |
| 10 |
|
|
I TRAC , |
| 11 |
|
|
I BC_FACEMASK, |
| 12 |
|
|
I BC_XVALUES, |
| 13 |
|
|
O XFLUX, |
| 14 |
|
|
I time_step ) |
| 15 |
|
|
|
| 16 |
|
|
IMPLICIT NONE |
| 17 |
|
|
|
| 18 |
|
|
C O hflux_x ! flux per unit width across face |
| 19 |
|
|
C O h |
| 20 |
|
|
C I time_step |
| 21 |
|
|
|
| 22 |
|
|
C === Global variables === |
| 23 |
|
|
#include "SIZE.h" |
| 24 |
|
|
#include "GRID.h" |
| 25 |
|
|
#include "EEPARAMS.h" |
| 26 |
|
|
#include "PARAMS.h" |
| 27 |
|
|
#include "STREAMICE.h" |
| 28 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 29 |
|
|
# include "tamc.h" |
| 30 |
|
|
#endif |
| 31 |
|
|
!#include "GAD_FLUX_LIMITER.h" |
| 32 |
|
|
|
| 33 |
|
|
|
| 34 |
|
|
INTEGER myThid |
| 35 |
|
|
_RL UADV (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 36 |
|
|
_RL TRAC (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 37 |
|
|
_RL BC_FACEMASK (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 38 |
|
|
_RL BC_XVALUES (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 39 |
|
|
_RL XFLUX (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 40 |
|
|
_RL time_step |
| 41 |
|
|
|
| 42 |
|
|
#ifdef ALLOW_STREAMICE |
| 43 |
|
|
|
| 44 |
|
|
C LOCAL VARIABLES |
| 45 |
|
|
|
| 46 |
|
|
INTEGER i, j, bi, bj, Gi, Gj, k |
| 47 |
|
|
_RL uface, phi, cfl, Cr, rdenom, d0, d1, psi |
| 48 |
|
|
_RL stencil (-1:1) |
| 49 |
|
|
LOGICAL H0_valid(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy) |
| 50 |
|
|
! there are valid cells to calculate a |
| 51 |
|
|
! slope-limited 2nd order flux |
| 52 |
|
|
_RL SLOPE_LIMITER |
| 53 |
|
|
! _RL total_vol_out |
| 54 |
|
|
external SLOPE_LIMITER |
| 55 |
|
|
|
| 56 |
|
|
! total_vol_out = 0.0 |
| 57 |
|
|
|
| 58 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 59 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 60 |
|
|
DO j=1-oly,sNy+oly |
| 61 |
|
|
DO i=1-olx,sNx+olx |
| 62 |
|
|
H0_valid(i,j,bi,bj)=.false. |
| 63 |
|
|
ENDDO |
| 64 |
|
|
ENDDO |
| 65 |
|
|
ENDDO |
| 66 |
|
|
ENDDO |
| 67 |
|
|
|
| 68 |
|
|
DO bj=myByLo(myThid),myByHi(myThid) |
| 69 |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
| 70 |
|
|
DO j=1-3,sNy+3 |
| 71 |
|
|
Gj = (myYGlobalLo-1)+(bj-1)*sNy+j |
| 72 |
|
|
IF (((Gj .ge. 1) .and. (Gj .le. Ny)) |
| 73 |
|
|
& .or.STREAMICE_NS_PERIODIC) THEN |
| 74 |
|
|
DO i=1-1,sNx+2 |
| 75 |
|
|
C THESE ARRAY BOUNDS INSURE THAT AFTER THIS STEP, |
| 76 |
|
|
C VALUES WILL BE RELIABLE 1 GRID CELLS OUT IN THE |
| 77 |
|
|
C X DIRECTION AND 3 CELLS OUT IN THE Y DIR |
| 78 |
|
|
IF ((STREAMICE_hmask(i,j,bi,bj).eq.1.0) .or. |
| 79 |
|
|
& ((STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) .and. |
| 80 |
|
|
& (STREAMICE_hmask(i,j,bi,bj).ne.1.0))) THEN |
| 81 |
|
|
|
| 82 |
|
|
Gi = (myXGlobalLo-1)+(bi-1)*sNx+i |
| 83 |
|
|
|
| 84 |
|
|
|
| 85 |
|
|
uface = UADV(i,j,bi,bj) |
| 86 |
|
|
cfl = ABS(uface) * time_step * recip_dxC(i,j,bi,bj) |
| 87 |
|
|
|
| 88 |
|
|
|
| 89 |
|
|
IF (BC_FACEMASK(i,j,bi,bj).eq.3.0 .and. |
| 90 |
|
|
& uface.gt.0 .and. |
| 91 |
|
|
& STREAMICE_hmask(i,j,bi,bj).eq.1.0) THEN |
| 92 |
|
|
XFLUX (i,j,bi,bj) = BC_XVALUES(i,j,bi,bj) * uface |
| 93 |
|
|
ELSEIF |
| 94 |
|
|
& (BC_FACEMASK(i,j,bi,bj).eq.3.0 .and. |
| 95 |
|
|
& uface.le.0 .and. |
| 96 |
|
|
& STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) THEN |
| 97 |
|
|
XFLUX (i,j,bi,bj) = BC_XVALUES(i,j,bi,bj) * uface |
| 98 |
|
|
ELSE |
| 99 |
|
|
|
| 100 |
|
|
IF (uface .gt. 0. _d 0) THEN |
| 101 |
|
|
DO k=-1,1 |
| 102 |
|
|
stencil (k) = TRAC(i+k-1,j,bi,bj) |
| 103 |
|
|
ENDDO |
| 104 |
|
|
IF ((STREAMICE_hmask(i,j,bi,bj).eq.1.0) .and. |
| 105 |
|
|
& (STREAMICE_hmask(i-2,j,bi,bj).eq.1.0)) |
| 106 |
|
|
& H0_valid(i,j,bi,bj)=.true. |
| 107 |
|
|
|
| 108 |
|
|
IF (((Gi.eq.1).and.(STREAMICE_hmask(i-1,j,bi,bj).eq.3.0)) |
| 109 |
|
|
& .and.(.not.STREAMICE_EW_PERIODIC)) |
| 110 |
|
|
& THEN ! we are at western bdry and there is a thick. bdry cond |
| 111 |
|
|
|
| 112 |
|
|
XFLUX (i,j,bi,bj) = TRAC(i-1,j,bi,bj) * uface |
| 113 |
|
|
|
| 114 |
|
|
ELSEIF (H0_valid(i,j,bi,bj)) THEN |
| 115 |
|
|
|
| 116 |
|
|
rdenom = (stencil(1)-stencil(0)) |
| 117 |
|
|
IF (rdenom .ne. 0.) THEN |
| 118 |
|
|
Cr = (stencil(0)-stencil(-1))/rdenom |
| 119 |
|
|
ELSE |
| 120 |
|
|
Cr = 1.E20 * (stencil(0)-stencil(-1)) |
| 121 |
|
|
ENDIF |
| 122 |
|
|
|
| 123 |
|
|
|
| 124 |
|
|
|
| 125 |
|
|
IF (STREAMICE_ADV_SCHEME.ne.'DST3') THEN |
| 126 |
|
|
! phi = SLOPE_LIMITER(stencil(0)-stencil(-1), |
| 127 |
|
|
! & stencil(1)-stencil(0)) |
| 128 |
|
|
phi = SLOPE_LIMITER (Cr) |
| 129 |
|
|
ELSE |
| 130 |
|
|
d0 = (2.-cfl)*(1.-cfl)/6.0 |
| 131 |
|
|
d1 = (1.-cfl**2)/6.0 |
| 132 |
|
|
psi = d0+d1*Cr |
| 133 |
|
|
phi = MAX(0. _d 0,MIN(MIN(1. _d 0,psi), |
| 134 |
|
|
& Cr*(1. _d 0 -CFL)/(CFL+1. _d -20) )) |
| 135 |
|
|
ENDIF |
| 136 |
|
|
|
| 137 |
|
|
IF (STREAMICE_ADV_SCHEME.ne.'DST3') THEN |
| 138 |
|
|
XFLUX (i,j,bi,bj) = uface * |
| 139 |
|
|
& (stencil(0) + phi * .5 * (1.0-cfl) * |
| 140 |
|
|
& (stencil(1)-stencil(0))) |
| 141 |
|
|
ELSE |
| 142 |
|
|
XFLUX (i,j,bi,bj) = uface * |
| 143 |
|
|
& (stencil(0) + phi * |
| 144 |
|
|
& (stencil(1)-stencil(0))) |
| 145 |
|
|
ENDIF |
| 146 |
|
|
|
| 147 |
|
|
ELSE ! one of the two cells needed for a HO scheme is missing, use FO scheme |
| 148 |
|
|
|
| 149 |
|
|
XFLUX (i,j,bi,bj) = uface * stencil(0) |
| 150 |
|
|
|
| 151 |
|
|
ENDIF |
| 152 |
|
|
|
| 153 |
|
|
ELSE ! uface <= 0 |
| 154 |
|
|
|
| 155 |
|
|
DO k=-1,1 |
| 156 |
|
|
stencil (k) = TRAC(i-k,j,bi,bj) |
| 157 |
|
|
ENDDO |
| 158 |
|
|
IF ((STREAMICE_hmask(i-1,j,bi,bj).eq.1.0) .and. |
| 159 |
|
|
& (STREAMICE_hmask(i+1,j,bi,bj).eq.1.0)) |
| 160 |
|
|
& H0_valid(i,j,bi,bj)=.true. |
| 161 |
|
|
|
| 162 |
|
|
IF (((Gi.eq.Nx).and.(STREAMICE_hmask(i+1,j,bi,bj).eq.3.0)) |
| 163 |
|
|
& .and.(.not.STREAMICE_EW_PERIODIC)) |
| 164 |
|
|
& THEN ! we are at western bdry and there is a thick. bdry cond |
| 165 |
|
|
|
| 166 |
|
|
XFLUX (i,j,bi,bj) = TRAC(i+1,j,bi,bj) * uface |
| 167 |
|
|
|
| 168 |
|
|
ELSEIF (H0_valid(i,j,bi,bj)) THEN |
| 169 |
|
|
|
| 170 |
|
|
rdenom = (stencil(1)-stencil(0)) |
| 171 |
|
|
IF (rdenom .ne. 0.) THEN |
| 172 |
|
|
Cr = (stencil(0)-stencil(-1))/rdenom |
| 173 |
|
|
ELSE |
| 174 |
|
|
Cr = 1.E20 * (stencil(0)-stencil(-1)) |
| 175 |
|
|
ENDIF |
| 176 |
|
|
|
| 177 |
|
|
IF (STREAMICE_ADV_SCHEME.ne.'DST3') THEN |
| 178 |
|
|
! phi = SLOPE_LIMITER(stencil(0)-stencil(-1), |
| 179 |
|
|
! & stencil(1)-stencil(0)) |
| 180 |
|
|
phi = SLOPE_LIMITER (Cr) |
| 181 |
|
|
|
| 182 |
|
|
ELSE |
| 183 |
|
|
d0 = (2.-cfl)*(1.-cfl)/6.0 |
| 184 |
|
|
d1 = (1.-cfl**2)/6.0 |
| 185 |
|
|
psi = d0+d1*Cr |
| 186 |
|
|
phi = MAX(0. _d 0,MIN(MIN(1. _d 0,psi), |
| 187 |
|
|
& Cr*(1. _d 0 -CFL)/(CFL+1. _d -20) )) |
| 188 |
|
|
ENDIF |
| 189 |
|
|
|
| 190 |
|
|
IF (STREAMICE_ADV_SCHEME.ne.'DST3') THEN |
| 191 |
|
|
XFLUX (i,j,bi,bj) = uface * |
| 192 |
|
|
& (stencil(0) + phi * .5 * (1.0-cfl) * |
| 193 |
|
|
& (stencil(1)-stencil(0))) |
| 194 |
|
|
ELSE |
| 195 |
|
|
XFLUX (i,j,bi,bj) = uface * |
| 196 |
|
|
& (stencil(0) + phi * |
| 197 |
|
|
& (stencil(1)-stencil(0))) |
| 198 |
|
|
ENDIF |
| 199 |
|
|
|
| 200 |
|
|
ELSE ! one of the two cells needed for a HO scheme is missing, use FO scheme |
| 201 |
|
|
|
| 202 |
|
|
Xflux (i,j,bi,bj) = uface * stencil(0) |
| 203 |
|
|
|
| 204 |
|
|
ENDIF |
| 205 |
|
|
|
| 206 |
|
|
ENDIF |
| 207 |
|
|
|
| 208 |
|
|
ENDIF |
| 209 |
|
|
|
| 210 |
|
|
ENDIF |
| 211 |
|
|
ENDDO |
| 212 |
|
|
ENDIF |
| 213 |
|
|
ENDDO |
| 214 |
|
|
ENDDO |
| 215 |
|
|
ENDDO |
| 216 |
|
|
|
| 217 |
|
|
!C X-FLUXES AT CELL BOUNDARIES CALCULATED; NOW TAKE FLUX DIVERGENCE TO INCREMENT THICKNESS |
| 218 |
|
|
! |
| 219 |
|
|
! DO bj=myByLo(myThid),myByHi(myThid) |
| 220 |
|
|
! DO bi=myBxLo(myThid),myBxHi(myThid) |
| 221 |
|
|
! DO j=1-3,sNy+3 |
| 222 |
|
|
! Gj = (myYGlobalLo-1)+(bj-1)*sNy+j |
| 223 |
|
|
! IF ((Gj .ge. 1) .and. (Gj .le. Ny)) THEN |
| 224 |
|
|
! DO i=1-2,sNx+2 |
| 225 |
|
|
! IF (STREAMICE_hmask(i,j,bi,bj).eq.1.0) THEN |
| 226 |
|
|
! h(i,j,bi,bj) = h(i,j,bi,bj) - time_step * |
| 227 |
|
|
! & (hflux_x(i+1,j,bi,bj)*dyG(i+1,j,bi,bj) - |
| 228 |
|
|
! & hflux_x(i,j,bi,bj)*dyG(i,j,bi,bj)) * |
| 229 |
|
|
! & recip_rA (i,j,bi,bj) |
| 230 |
|
|
! ENDIF |
| 231 |
|
|
! ENDDO |
| 232 |
|
|
! ENDIF |
| 233 |
|
|
! ENDDO |
| 234 |
|
|
! ENDDO |
| 235 |
|
|
! ENDDO |
| 236 |
|
|
|
| 237 |
|
|
|
| 238 |
|
|
|
| 239 |
|
|
#endif |
| 240 |
|
|
RETURN |
| 241 |
|
|
END SUBROUTINE STREAMICE_ADV_FLUX_FL_X |
| 242 |
|
|
|