| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/generic_advdiff/gad_os7mp_adv_x.F,v 1.1 2007/01/20 21:20:11 adcroft Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "GAD_OPTIONS.h" |
| 5 |
|
| 6 |
SUBROUTINE GAD_OS7MP_ADV_X( |
| 7 |
I bi,bj,k,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 |
_RL deltaTloc |
| 27 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 28 |
_RL uFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 29 |
_RS maskLocW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 30 |
_RL Q (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 31 |
_RL uT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 32 |
INTEGER myThid |
| 33 |
|
| 34 |
C == Local variables == |
| 35 |
INTEGER i,j |
| 36 |
_RL cfl,Psi |
| 37 |
_RL uLoc,Fac,Del,DelIp,DelI,Phi,Eps,rp1h,Msk |
| 38 |
_RL Qippp,Qipp,Qip,Qi,Qim,Qimm,Qimmm |
| 39 |
_RL MskIpp,MskIp,MskI,MskIm,MskImm,MskImmm |
| 40 |
_RL d2,d2p1,d2m1,A,B,C,D |
| 41 |
_RL dp1h,dm1h,qMD,qUL,qLC,PhiMD,PhiLC,PhiMin,PhiMax |
| 42 |
|
| 43 |
Eps = 1. _d -20 |
| 44 |
|
| 45 |
DO j=1-Oly,sNy+Oly |
| 46 |
uT(1-Olx,j)=0. _d 0 |
| 47 |
uT(2-Olx,j)=0. _d 0 |
| 48 |
uT(3-Olx,j)=0. _d 0 |
| 49 |
uT(4-Olx,j)=0. _d 0 |
| 50 |
uT(sNx+Olx-2,j)=0. _d 0 |
| 51 |
uT(sNx+Olx-1,j)=0. _d 0 |
| 52 |
uT(sNx+Olx,j)=0. _d 0 |
| 53 |
DO i=1-Olx+4,sNx+Olx-3 |
| 54 |
|
| 55 |
uLoc = uFld(i,j) |
| 56 |
cfl = abs(uLoc*deltaTloc*recip_dxC(i,j,bi,bj)) |
| 57 |
|
| 58 |
IF (uLoc.gt.0.) THEN |
| 59 |
Qippp = Q(i+2,j) |
| 60 |
Qipp = Q(i+1,j) |
| 61 |
Qip = Q(i,j) |
| 62 |
Qi = Q(i-1,j) |
| 63 |
Qim = Q(i-2,j) |
| 64 |
Qimm = Q(i-3,j) |
| 65 |
Qimmm = Q(i-4,j) |
| 66 |
|
| 67 |
MskIpp = maskLocW(i+2,j) |
| 68 |
MskIp = maskLocW(i+1,j) |
| 69 |
MskI = maskLocW(i,j) |
| 70 |
MskIm = maskLocW(i-1,j) |
| 71 |
MskImm = maskLocW(i-2,j) |
| 72 |
MskImmm = maskLocW(i-3,j) |
| 73 |
ELSEIF (uLoc.lt.0.) THEN |
| 74 |
Qippp = Q(i-3,j) |
| 75 |
Qipp = Q(i-2,j) |
| 76 |
Qip = Q(i-1,j) |
| 77 |
Qi = Q(i,j) |
| 78 |
Qim = Q(i+1,j) |
| 79 |
Qimm = Q(i+2,j) |
| 80 |
Qimmm = Q(i+3,j) |
| 81 |
|
| 82 |
MskIpp = maskLocW(i-2,j) |
| 83 |
MskIp = maskLocW(i-1,j) |
| 84 |
MskI = maskLocW(i,j) |
| 85 |
MskIm = maskLocW(i+1,j) |
| 86 |
MskImm = maskLocW(i+2,j) |
| 87 |
MskImmm = maskLocW(i+3,j) |
| 88 |
ENDIF |
| 89 |
|
| 90 |
IF (uLoc.ne.0.) THEN |
| 91 |
C 2nd order correction [i i-1] |
| 92 |
Fac = 1. |
| 93 |
Del = Qip-Qi |
| 94 |
Msk = MskI |
| 95 |
Phi = Msk * Fac * Del |
| 96 |
C 3rd order correction [i i-1 i-2] |
| 97 |
Fac = Fac * ( cfl + 1. )/3. |
| 98 |
Del = Del - ( Qi-Qim ) |
| 99 |
Msk = Msk * MskIm |
| 100 |
Phi = Phi - Msk * Fac * Del |
| 101 |
C 4th order correction [i+1 i i-1 i-2] |
| 102 |
Fac = Fac * ( cfl - 2. )/4. |
| 103 |
Del = ( Qipp-2.*Qip+Qi ) - Del |
| 104 |
Msk = Msk * MskIp |
| 105 |
Phi = Phi + Msk * Fac * Del |
| 106 |
C 5th order correction [i+1 i i-1 i-2 i-3] |
| 107 |
Fac = Fac * ( cfl - 3. )/5. |
| 108 |
Del = Del - ( Qip-3.*Qi+3.*Qim-Qimm ) |
| 109 |
Msk = Msk * MskImm |
| 110 |
Phi = Phi + Msk * Fac * Del |
| 111 |
C 6th order correction [i+2 i+1 i i-1 i-2 i-3] |
| 112 |
Fac = Fac * ( cfl + 2. )/6. |
| 113 |
Del = ( Qippp-4.*Qipp+6.*Qip-4.*Qi+Qim ) - Del |
| 114 |
Msk = Msk * MskIpp |
| 115 |
Phi = Phi + Msk * Fac * Del |
| 116 |
C 7th order correction [i+2 i+1 i i-1 i-2 i-3 i-4] |
| 117 |
Fac = Fac * ( cfl + 2. )/7. |
| 118 |
Del = Del - ( Qipp-5.*Qip+10.*Qi-10.*Qim+5.*Qimm-Qimmm ) |
| 119 |
Msk = Msk * MskImmm |
| 120 |
Phi = Phi - Msk * Fac * Del |
| 121 |
|
| 122 |
DelIp = ( Qip - Qi ) * MskI |
| 123 |
Phi = sign(1. _d 0,Phi)*sign(1. _d 0,DelIp) |
| 124 |
& *abs(Phi+Eps)/abs(DelIp+Eps) |
| 125 |
|
| 126 |
DelI = ( Qi - Qim ) * MskIm |
| 127 |
rp1h =sign(1. _d 0,DelI)*sign(1. _d 0,DelIp) |
| 128 |
& *abs(DelI+Eps)/abs(DelIp+Eps) |
| 129 |
|
| 130 |
C TVD limiter |
| 131 |
! Phi = max(0. _d 0, min( 2./(1-cfl), Phi, 2.*rp1h/cfl ) ) |
| 132 |
|
| 133 |
C MP limiter |
| 134 |
d2 = ( ( Qip + Qim ) - 2.*Qi ) * MskI * MskIm |
| 135 |
d2p1 = ( ( Qipp + Qi ) - 2.*Qip ) * MskIp * MskI |
| 136 |
d2m1 = ( ( Qi + Qimm ) - 2.*Qim ) * MskIm * MskImm |
| 137 |
A = 4.*d2 - d2p1 |
| 138 |
B = 4.*d2p1 - d2 |
| 139 |
C = d2 |
| 140 |
D = d2p1; |
| 141 |
dp1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0) |
| 142 |
A = 4.*d2m1 - d2 |
| 143 |
B = 4.*d2 - d2m1 |
| 144 |
C = d2m1 |
| 145 |
D = d2; |
| 146 |
dm1h = max(min(A,B,C,D),0. _d 0)+min(max(A,B,C,D),0. _d 0) |
| 147 |
qMD = 0.5*( ( Qi + Qip ) - dp1h ) |
| 148 |
qUL = Qi + (1.-cfl)/cfl*( Qi-Qim ) |
| 149 |
qLC = Qi + 0.5*( 1.+dm1h/(Qi-Qim+Eps) )*(qUL-Qi) |
| 150 |
PhiMD = 2./(1.-cfl)*(qMD-Qi+Eps)/(Qip-Qi+Eps) |
| 151 |
PhiLC = 2.*rp1h/cfl*(qLC-Qi+Eps)/(qUL-Qi+Eps) |
| 152 |
PhiMin = max(min(0. _d 0,PhiMD), |
| 153 |
& min(0. _d 0,2.*rp1h/cfl,PhiLC)) |
| 154 |
PhiMax = min(max(2. _d 0/(1.-cfl),PhiMD), |
| 155 |
& max(0. _d 0,2.*rp1h/cfl,PhiLC)) |
| 156 |
Phi = max(PhiMin,min(Phi,PhiMax)) |
| 157 |
|
| 158 |
Psi = Phi * 0.5 * (1. - cfl) |
| 159 |
uT(i,j) = uTrans(i,j)*( Qi + Psi*DelIp ) |
| 160 |
ELSE |
| 161 |
uT(i,j) = 0. |
| 162 |
ENDIF |
| 163 |
|
| 164 |
ENDDO |
| 165 |
ENDDO |
| 166 |
|
| 167 |
RETURN |
| 168 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph