| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_os7mp_adv_x.F,v 1.6 2007/06/13 18:45:25 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GAD_OPTIONS.h" |
| 5 |
|
| 6 |
SUBROUTINE GAD_OS7MP_ADV_X( |
| 7 |
I bi,bj,k, calcCFL, deltaTloc, |
| 8 |
I uTrans, uFld, |
| 9 |
I maskLocW, Q, |
| 10 |
O uT, |
| 11 |
I myThid ) |
| 12 |
C /==========================================================\ |
| 13 |
C | SUBROUTINE GAD_OS7MP_ADV_X | |
| 14 |
C | o Compute Zonal advective Flux of tracer Q using | |
| 15 |
C | 7th Order DST Sceheme with monotone preserving limiter | |
| 16 |
C |==========================================================| |
| 17 |
IMPLICIT NONE |
| 18 |
|
| 19 |
C == GLobal variables == |
| 20 |
#include "SIZE.h" |
| 21 |
#include "GRID.h" |
| 22 |
#include "GAD.h" |
| 23 |
|
| 24 |
C == Routine arguments == |
| 25 |
INTEGER bi,bj,k |
| 26 |
LOGICAL calcCFL |
| 27 |
_RL deltaTloc |
| 28 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 29 |
_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 30 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 31 |
_RL Q (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 32 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 33 |
INTEGER myThid |
| 34 |
|
| 35 |
C == Local variables == |
| 36 |
INTEGER i,j |
| 37 |
_RL cfl,Psi |
| 38 |
_RL uLoc,Fac,DelIp,DelI,Phi,Eps,rp1h,rp1h_cfl |
| 39 |
_RL Qippp,Qipp,Qip,Qi,Qim,Qimm,Qimmm |
| 40 |
_RL MskIpp,MskIp,MskI,MskIm,MskImm,MskImmm |
| 41 |
_RL d2,d2p1,d2m1,A,B,C,D |
| 42 |
_RL dp1h,dm1h,qMD,qUL,qLC,PhiMD,PhiLC,PhiMin,PhiMax |
| 43 |
_RL DelM,DelP,DelMM,DelPP,DelMMM,DelPPP |
| 44 |
_RL Del2MM,Del2M,Del2,Del2P,Del2PP |
| 45 |
_RL Del3MM,Del3M,Del3P,Del3PP |
| 46 |
_RL Del4M,Del4,Del4P |
| 47 |
_RL Del5M,Del5P |
| 48 |
_RL Del6 |
| 49 |
|
| 50 |
Eps = 1. _d -20 |
| 51 |
|
| 52 |
DO j=1-Oly,sNy+Oly |
| 53 |
uT(1-Olx,j)=0. _d 0 |
| 54 |
uT(2-Olx,j)=0. _d 0 |
| 55 |
uT(3-Olx,j)=0. _d 0 |
| 56 |
uT(4-Olx,j)=0. _d 0 |
| 57 |
uT(sNx+Olx-2,j)=0. _d 0 |
| 58 |
uT(sNx+Olx-1,j)=0. _d 0 |
| 59 |
uT(sNx+Olx,j)=0. _d 0 |
| 60 |
DO i=1-Olx+4,sNx+Olx-3 |
| 61 |
|
| 62 |
uLoc = uFld(i,j) |
| 63 |
cfl = uLoc |
| 64 |
IF ( calcCFL ) cfl = abs(uLoc*deltaTloc*recip_dxC(i,j,bi,bj)) |
| 65 |
|
| 66 |
IF (uTrans(i,j).gt.0.) THEN |
| 67 |
Qippp = Q(i+2,j) |
| 68 |
Qipp = Q(i+1,j) |
| 69 |
Qip = Q(i,j) |
| 70 |
Qi = Q(i-1,j) |
| 71 |
Qim = Q(i-2,j) |
| 72 |
Qimm = Q(i-3,j) |
| 73 |
Qimmm = Q(i-4,j) |
| 74 |
|
| 75 |
MskIpp = maskLocW(i+2,j) |
| 76 |
MskIp = maskLocW(i+1,j) |
| 77 |
MskI = maskLocW(i,j) |
| 78 |
MskIm = maskLocW(i-1,j) |
| 79 |
MskImm = maskLocW(i-2,j) |
| 80 |
MskImmm = maskLocW(i-3,j) |
| 81 |
ELSEIF (uTrans(i,j).lt.0.) THEN |
| 82 |
Qippp = Q(i-3,j) |
| 83 |
Qipp = Q(i-2,j) |
| 84 |
Qip = Q(i-1,j) |
| 85 |
Qi = Q(i,j) |
| 86 |
Qim = Q(i+1,j) |
| 87 |
Qimm = Q(i+2,j) |
| 88 |
Qimmm = Q(i+3,j) |
| 89 |
|
| 90 |
MskIpp = maskLocW(i-2,j) |
| 91 |
MskIp = maskLocW(i-1,j) |
| 92 |
MskI = maskLocW(i,j) |
| 93 |
MskIm = maskLocW(i+1,j) |
| 94 |
MskImm = maskLocW(i+2,j) |
| 95 |
MskImmm = maskLocW(i+3,j) |
| 96 |
ELSE |
| 97 |
Qippp = 0. _d 0 |
| 98 |
Qipp = 0. _d 0 |
| 99 |
Qip = 0. _d 0 |
| 100 |
Qi = 0. _d 0 |
| 101 |
Qim = 0. _d 0 |
| 102 |
Qimm = 0. _d 0 |
| 103 |
Qimmm = 0. _d 0 |
| 104 |
|
| 105 |
MskIpp = 0. _d 0 |
| 106 |
MskIp = 0. _d 0 |
| 107 |
MskI = 0. _d 0 |
| 108 |
MskIm = 0. _d 0 |
| 109 |
MskImm = 0. _d 0 |
| 110 |
MskImmm = 0. _d 0 |
| 111 |
ENDIF |
| 112 |
|
| 113 |
IF (uTrans(i,j).ne.0.) THEN |
| 114 |
C 2nd order correction [i i-1] |
| 115 |
Fac = 1. |
| 116 |
DelP = (Qip-Qi)*MskI |
| 117 |
Phi = Fac * DelP |
| 118 |
C 3rd order correction [i i-1 i-2] |
| 119 |
Fac = Fac * ( cfl + 1. )/3. |
| 120 |
DelM = (Qi-Qim)*MskIm |
| 121 |
Del2 = DelP - DelM |
| 122 |
Phi = Phi - Fac * Del2 |
| 123 |
C 4th order correction [i+1 i i-1 i-2] |
| 124 |
Fac = Fac * ( cfl - 2. )/4. |
| 125 |
DelPP = (Qipp-Qip)*MskIp*MskI |
| 126 |
Del2P = DelPP - DelP |
| 127 |
Del3P = Del2P - Del2 |
| 128 |
Phi = Phi + Fac * Del3p |
| 129 |
C 5th order correction [i+1 i i-1 i-2 i-3] |
| 130 |
Fac = Fac * ( cfl - 3. )/5. |
| 131 |
DelMM = (Qim-Qimm)*MskImm*MskIm |
| 132 |
Del2M = DelM - DelMM |
| 133 |
Del3M = Del2 - Del2M |
| 134 |
Del4 = Del3P - Del3M |
| 135 |
Phi = Phi + Fac * Del4 |
| 136 |
C 6th order correction [i+2 i+1 i i-1 i-2 i-3] |
| 137 |
Fac = Fac * ( cfl + 2. )/6. |
| 138 |
DelPPP = (Qippp-Qipp)*MskIpp*MskIp*MskI |
| 139 |
Del2PP = DelPP - DelP |
| 140 |
Del3PP = Del2PP - Del2P |
| 141 |
Del4P = Del3PP - Del3P |
| 142 |
Del5P = Del4P - Del4 |
| 143 |
Phi = Phi + Fac * Del5P |
| 144 |
C 7th order correction [i+2 i+1 i i-1 i-2 i-3 i-4] |
| 145 |
Fac = Fac * ( cfl + 2. )/7. |
| 146 |
DelMMM = (Qimm-Qimmm)*MskImmm*MskImm*MskIm |
| 147 |
Del2MM = DelMM - DelMMM |
| 148 |
Del3MM = Del2M - Del2MM |
| 149 |
Del4M = Del3M - Del3MM |
| 150 |
Del5M = Del4 - Del4M |
| 151 |
Del6 = Del5P - Del5M |
| 152 |
Phi = Phi - Fac * Del6 |
| 153 |
|
| 154 |
DelIp = ( Qip - Qi ) * MskI |
| 155 |
Phi = sign(1. _d 0,Phi)*sign(1. _d 0,DelIp) |
| 156 |
& *abs(Phi+Eps)/abs(DelIp+Eps) |
| 157 |
|
| 158 |
DelI = ( Qi - Qim ) * MskIm |
| 159 |
rp1h =sign(1. _d 0,DelI)*sign(1. _d 0,DelIp) |
| 160 |
& *abs(DelI+Eps)/abs(DelIp+Eps) |
| 161 |
rp1h_cfl = rp1h/(cfl+Eps) |
| 162 |
|
| 163 |
C TVD limiter |
| 164 |
! Phi = max(0. _d 0, min( 2./(1-cfl), Phi, 2.*rp1h_cfl ) ) |
| 165 |
|
| 166 |
C MP limiter |
| 167 |
d2 = Del2 !( ( Qip + Qim ) - 2.*Qi ) * MskI * MskIm |
| 168 |
d2p1 = Del2P !( ( Qipp + Qi ) - 2.*Qip ) * MskIp * MskI |
| 169 |
d2m1 = Del2M !( ( Qi + Qimm ) - 2.*Qim ) * MskIm * MskImm |
| 170 |
A = 4.*d2 - d2p1 |
| 171 |
B = 4.*d2p1 - d2 |
| 172 |
C = d2 |
| 173 |
D = d2p1 |
| 174 |
dp1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0) |
| 175 |
A = 4.*d2m1 - d2 |
| 176 |
B = 4.*d2 - d2m1 |
| 177 |
C = d2m1 |
| 178 |
D = d2 |
| 179 |
dm1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0) |
| 180 |
!qMD = 0.5*( ( Qi + Qip ) - dp1h ) |
| 181 |
qMD = 0.5*( ( 2.*Qi + DelIp ) - dp1h ) |
| 182 |
qUL = Qi + (1.-cfl)/(cfl+Eps)*DelI |
| 183 |
qLC = Qi + 0.5*( 1.+dm1h/(DelI+Eps) )*(qUL-Qi) |
| 184 |
PhiMD = 2./(1.-cfl)*(qMD-Qi+Eps)/(DelIp+Eps) |
| 185 |
PhiLC = 2.*rp1h_cfl*(qLC-Qi+Eps)/(qUL-Qi+Eps) |
| 186 |
PhiMin = max(min(0. _d 0,PhiMD), |
| 187 |
& min(0. _d 0,2.*rp1h_cfl,PhiLC)) |
| 188 |
PhiMax = min(max(2. _d 0/(1.-cfl),PhiMD), |
| 189 |
& max(0. _d 0,2.*rp1h_cfl,PhiLC)) |
| 190 |
Phi = max(PhiMin,min(Phi,PhiMax)) |
| 191 |
|
| 192 |
Psi = Phi * 0.5 * (1. - cfl) |
| 193 |
uT(i,j) = uTrans(i,j)*( Qi + Psi*DelIp ) |
| 194 |
ELSE |
| 195 |
uT(i,j) = 0. |
| 196 |
ENDIF |
| 197 |
|
| 198 |
ENDDO |
| 199 |
ENDDO |
| 200 |
|
| 201 |
RETURN |
| 202 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph