| 1 |
jmc |
1.7 |
C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_north.F,v 1.6 2009/09/17 16:30:07 jmc Exp $ |
| 2 |
adcroft |
1.3 |
C $Name: $ |
| 3 |
adcroft |
1.2 |
|
| 4 |
|
|
#include "OBCS_OPTIONS.h" |
| 5 |
|
|
|
| 6 |
jmc |
1.6 |
SUBROUTINE ORLANSKI_NORTH( bi, bj, futureTime, |
| 7 |
|
|
I uVel, vVel, wVel, theta, salt, |
| 8 |
adcroft |
1.2 |
I myThid ) |
| 9 |
|
|
C /==========================================================\ |
| 10 |
|
|
C | SUBROUTINE OBCS_RADIATE | |
| 11 |
|
|
C | o Calculate future boundary data at open boundaries | |
| 12 |
|
|
C | at time = futureTime by applying Orlanski radiation | |
| 13 |
|
|
C | conditions. | |
| 14 |
|
|
C |==========================================================| |
| 15 |
|
|
C | | |
| 16 |
|
|
C \==========================================================/ |
| 17 |
|
|
IMPLICIT NONE |
| 18 |
|
|
|
| 19 |
|
|
C === Global variables === |
| 20 |
|
|
#include "SIZE.h" |
| 21 |
|
|
#include "EEPARAMS.h" |
| 22 |
|
|
#include "PARAMS.h" |
| 23 |
|
|
#include "GRID.h" |
| 24 |
|
|
#include "OBCS.h" |
| 25 |
|
|
#include "ORLANSKI.h" |
| 26 |
|
|
|
| 27 |
jmc |
1.6 |
C SPK 6/2/00: Added radiative OBCs for salinity. |
| 28 |
|
|
C SPK 6/6/00: Changed calculation of OB*w. When K=1, the |
| 29 |
adcroft |
1.2 |
C upstream value is used. For example on the eastern OB: |
| 30 |
|
|
C IF (K.EQ.1) THEN |
| 31 |
|
|
C OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj) |
| 32 |
|
|
C ENDIF |
| 33 |
jmc |
1.6 |
C |
| 34 |
adcroft |
1.2 |
C SPK 7/7/00: 1) Removed OB*w fix (see above). |
| 35 |
|
|
C 2) Added variable CMAX. Maximum diagnosed phase speed is now |
| 36 |
jmc |
1.6 |
C clamped to CMAX. For stability of AB-II scheme (CFL) the |
| 37 |
adcroft |
1.2 |
C (non-dimensional) phase speed must be <0.5 |
| 38 |
|
|
C 3) (Sonya Legg) Changed application of uVel and vVel. |
| 39 |
jmc |
1.6 |
C uVel on the western OB is actually applied at I_obc+1 |
| 40 |
adcroft |
1.2 |
C while vVel on the southern OB is applied at J_obc+1. |
| 41 |
adcroft |
1.3 |
C 4) (Sonya Legg) Added templates for forced OBs. |
| 42 |
adcroft |
1.2 |
C |
| 43 |
|
|
C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing |
| 44 |
|
|
C phase speeds and time-stepping OB values. CL is still the |
| 45 |
|
|
C non-dimensional phase speed; CVEL is the dimensional phase |
| 46 |
jmc |
1.6 |
C speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the |
| 47 |
|
|
C appropriate grid spacings. Note that CMAX (with which CL |
| 48 |
adcroft |
1.2 |
C is compared) remains non-dimensional. |
| 49 |
jmc |
1.6 |
C |
| 50 |
|
|
C SPK 7/18/00: Added code to allow filtering of phase speed following |
| 51 |
|
|
C Blumberg and Kantha. There is now a separate array |
| 52 |
adcroft |
1.2 |
C CVEL_**, where **=Variable(U,V,T,S,W)Boundary(E,W,N,S) for |
| 53 |
jmc |
1.6 |
C the dimensional phase speed. These arrays are initialized to |
| 54 |
adcroft |
1.2 |
C zero in ini_obcs.F. CVEL_** is filtered according to |
| 55 |
|
|
C CVEL_** = fracCVEL*CVEL(new) + (1-fracCVEL)*CVEL_**(old). |
| 56 |
|
|
C fracCVEL=1.0 turns off filtering. |
| 57 |
|
|
C |
| 58 |
jmc |
1.6 |
C SPK 7/26/00: Changed code to average phase speed. A new variable |
| 59 |
adcroft |
1.2 |
C 'cvelTimeScale' was created. This variable must now be |
| 60 |
jmc |
1.6 |
C specified. Then, fracCVEL=deltaT/cvelTimeScale. |
| 61 |
|
|
C Since the goal is to smooth out the 'singularities' in the |
| 62 |
|
|
C diagnosed phase speed, cvelTimeScale could be picked as the |
| 63 |
|
|
C duration of the singular period in the unfiltered case. Thus, |
| 64 |
|
|
C for a plane wave cvelTimeScale might be the time take for the |
| 65 |
adcroft |
1.2 |
C wave to travel a distance DX, where DX is the width of the region |
| 66 |
|
|
C near which d(phi)/dx is small. |
| 67 |
|
|
|
| 68 |
|
|
C == Routine arguments == |
| 69 |
|
|
INTEGER bi, bj |
| 70 |
|
|
_RL futureTime |
| 71 |
|
|
_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 72 |
|
|
_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 73 |
|
|
_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 74 |
|
|
_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 75 |
|
|
_RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
| 76 |
|
|
INTEGER myThid |
| 77 |
|
|
|
| 78 |
|
|
#ifdef ALLOW_ORLANSKI |
| 79 |
heimbach |
1.5 |
#ifdef ALLOW_OBCS_NORTH |
| 80 |
adcroft |
1.2 |
|
| 81 |
|
|
C == Local variables == |
| 82 |
|
|
INTEGER I, K, J_obc |
| 83 |
|
|
_RL CL, ab1, ab2, fracCVEL, f1, f2 |
| 84 |
|
|
|
| 85 |
|
|
ab1 = 1.5 _d 0 + abEps /* Adams-Bashforth coefficients */ |
| 86 |
|
|
ab2 = -0.5 _d 0 - abEps |
| 87 |
|
|
/* CMAX is maximum allowable phase speed-CFL for AB-II */ |
| 88 |
|
|
/* cvelTimeScale is averaging period for phase speed in sec. */ |
| 89 |
|
|
|
| 90 |
|
|
fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/ |
| 91 |
adcroft |
1.3 |
f1 = fracCVEL /* dont change this. Set cvelTimeScale */ |
| 92 |
|
|
f2 = 1.0-fracCVEL /* dont change this. set cvelTimeScale */ |
| 93 |
adcroft |
1.2 |
|
| 94 |
|
|
C Northern OB (Orlanski Radiation Condition) |
| 95 |
|
|
DO K=1,Nr |
| 96 |
|
|
DO I=1-Olx,sNx+Olx |
| 97 |
|
|
J_obc=OB_Jn(I,bi,bj) |
| 98 |
|
|
IF (J_obc.ne.0) THEN |
| 99 |
|
|
C uVel |
| 100 |
|
|
IF ((UN_STORE_2(I,K,bi,bj).eq.0.).and. |
| 101 |
|
|
& (UN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
| 102 |
|
|
CL=0. |
| 103 |
|
|
ELSE |
| 104 |
|
|
CL=-(uVel(I,J_obc-1,K,bi,bj)-UN_STORE_1(I,K,bi,bj))/ |
| 105 |
|
|
& (ab1*UN_STORE_2(I,K,bi,bj) + ab2*UN_STORE_3(I,K,bi,bj)) |
| 106 |
|
|
ENDIF |
| 107 |
|
|
IF (CL.lt.0.) THEN |
| 108 |
|
|
CL=0. |
| 109 |
|
|
ELSEIF (CL.gt.CMAX) THEN |
| 110 |
|
|
CL=CMAX |
| 111 |
|
|
ENDIF |
| 112 |
|
|
CVEL_UN(I,K,bi,bj) = f1*(CL*dyU(I,J_obc-1,bi,bj)/deltaT)+ |
| 113 |
|
|
& f2*CVEL_UN(I,K,bi,bj) |
| 114 |
|
|
C update OBC to next timestep |
| 115 |
|
|
OBNu(I,K,bi,bj)=uVel(I,J_obc,K,bi,bj)- |
| 116 |
jmc |
1.4 |
& CVEL_UN(I,K,bi,bj)*deltaT*recip_dyU(I,J_obc,bi,bj)* |
| 117 |
adcroft |
1.2 |
& (ab1*(uVel(I,J_obc,K,bi,bj)-uVel(I,J_obc-1,K,bi,bj)) + |
| 118 |
|
|
& ab2*(UN_STORE_4(I,K,bi,bj)-UN_STORE_1(I,K,bi,bj))) |
| 119 |
|
|
C vVel |
| 120 |
|
|
IF ((VN_STORE_2(I,K,bi,bj).eq.0.).and. |
| 121 |
|
|
& (VN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
| 122 |
|
|
CL=0. |
| 123 |
|
|
ELSE |
| 124 |
|
|
CL=-(vVel(I,J_obc-1,K,bi,bj)-VN_STORE_1(I,K,bi,bj))/ |
| 125 |
|
|
& (ab1*VN_STORE_2(I,K,bi,bj) + ab2*VN_STORE_3(I,K,bi,bj)) |
| 126 |
jmc |
1.6 |
ENDIF |
| 127 |
adcroft |
1.2 |
IF (CL.lt.0.) THEN |
| 128 |
|
|
CL=0. |
| 129 |
|
|
ELSEIF (CL.gt.CMAX) THEN |
| 130 |
|
|
CL=CMAX |
| 131 |
|
|
ENDIF |
| 132 |
|
|
CVEL_VN(I,K,bi,bj) = f1*(CL*dyF(I,J_obc-2,bi,bj)/deltaT)+ |
| 133 |
|
|
& f2*CVEL_VN(I,K,bi,bj) |
| 134 |
|
|
C update OBC to next timestep |
| 135 |
|
|
OBNv(I,K,bi,bj)=vVel(I,J_obc,K,bi,bj)- |
| 136 |
jmc |
1.4 |
& CVEL_VN(I,K,bi,bj)*deltaT*recip_dyF(I,J_obc-1,bi,bj)* |
| 137 |
adcroft |
1.2 |
& (ab1*(vVel(I,J_obc,K,bi,bj)-vVel(I,J_obc-1,K,bi,bj)) + |
| 138 |
jmc |
1.6 |
& ab2*(VN_STORE_4(I,K,bi,bj)-VN_STORE_1(I,K,bi,bj))) |
| 139 |
adcroft |
1.2 |
C Temperature |
| 140 |
|
|
IF ((TN_STORE_2(I,K,bi,bj).eq.0.).and. |
| 141 |
|
|
& (TN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
| 142 |
|
|
CL=0. |
| 143 |
|
|
ELSE |
| 144 |
|
|
CL=-(theta(I,J_obc-1,K,bi,bj)-TN_STORE_1(I,K,bi,bj))/ |
| 145 |
|
|
& (ab1*TN_STORE_2(I,K,bi,bj) + ab2*TN_STORE_3(I,K,bi,bj)) |
| 146 |
jmc |
1.6 |
ENDIF |
| 147 |
adcroft |
1.2 |
IF (CL.lt.0.) THEN |
| 148 |
|
|
CL=0. |
| 149 |
|
|
ELSEIF (CL.gt.CMAX) THEN |
| 150 |
|
|
CL=CMAX |
| 151 |
|
|
ENDIF |
| 152 |
|
|
CVEL_TN(I,K,bi,bj) = f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT)+ |
| 153 |
|
|
& f2*CVEL_TN(I,K,bi,bj) |
| 154 |
|
|
C update OBC to next timestep |
| 155 |
|
|
OBNt(I,K,bi,bj)=theta(I,J_obc,K,bi,bj)- |
| 156 |
jmc |
1.4 |
& CVEL_TN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
| 157 |
adcroft |
1.2 |
& (ab1*(theta(I,J_obc,K,bi,bj)-theta(I,J_obc-1,K,bi,bj))+ |
| 158 |
jmc |
1.6 |
& ab2*(TN_STORE_4(I,K,bi,bj)-TN_STORE_1(I,K,bi,bj))) |
| 159 |
adcroft |
1.2 |
C Salinity |
| 160 |
|
|
IF ((SN_STORE_2(I,K,bi,bj).eq.0.).and. |
| 161 |
|
|
& (SN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
| 162 |
|
|
CL=0. |
| 163 |
|
|
ELSE |
| 164 |
|
|
CL=-(salt(I,J_obc-1,K,bi,bj)-SN_STORE_1(I,K,bi,bj))/ |
| 165 |
|
|
& (ab1*SN_STORE_2(I,K,bi,bj) + ab2*SN_STORE_3(I,K,bi,bj)) |
| 166 |
jmc |
1.6 |
ENDIF |
| 167 |
adcroft |
1.2 |
IF (CL.lt.0.) THEN |
| 168 |
|
|
CL=0. |
| 169 |
|
|
ELSEIF (CL.gt.CMAX) THEN |
| 170 |
|
|
CL=CMAX |
| 171 |
|
|
ENDIF |
| 172 |
|
|
CVEL_SN(I,K,bi,bj) = f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT)+ |
| 173 |
|
|
& f2*CVEL_SN(I,K,bi,bj) |
| 174 |
|
|
C update OBC to next timestep |
| 175 |
|
|
OBNs(I,K,bi,bj)=salt(I,J_obc,K,bi,bj)- |
| 176 |
jmc |
1.4 |
& CVEL_SN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
| 177 |
jmc |
1.6 |
& (ab1*(salt(I,J_obc,K,bi,bj)-salt(I,J_obc-1,K,bi,bj)) + |
| 178 |
adcroft |
1.2 |
& ab2*(SN_STORE_4(I,K,bi,bj)-SN_STORE_1(I,K,bi,bj))) |
| 179 |
jmc |
1.7 |
#ifdef ALLOW_NONHYDROSTATIC |
| 180 |
|
|
IF ( nonHydrostatic ) THEN |
| 181 |
adcroft |
1.2 |
C wVel |
| 182 |
jmc |
1.7 |
IF ((WN_STORE_2(I,K,bi,bj).eq.0.).and. |
| 183 |
|
|
& (WN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
| 184 |
|
|
CL=0. |
| 185 |
|
|
ELSE |
| 186 |
|
|
CL=-(wVel(I,J_obc-1,K,bi,bj)-WN_STORE_1(I,K,bi,bj))/ |
| 187 |
|
|
& (ab1*WN_STORE_2(I,K,bi,bj)+ab2*WN_STORE_3(I,K,bi,bj)) |
| 188 |
|
|
ENDIF |
| 189 |
|
|
IF (CL.lt.0.) THEN |
| 190 |
|
|
CL=0. |
| 191 |
|
|
ELSEIF (CL.gt.CMAX) THEN |
| 192 |
|
|
CL=CMAX |
| 193 |
|
|
ENDIF |
| 194 |
|
|
CVEL_WN(I,K,bi,bj)=f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT) |
| 195 |
|
|
& + f2*CVEL_WN(I,K,bi,bj) |
| 196 |
|
|
C update OBC to next timestep |
| 197 |
|
|
OBNw(I,K,bi,bj)=wVel(I,J_obc,K,bi,bj)- |
| 198 |
|
|
& CVEL_WN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
| 199 |
|
|
& (ab1*(wVel(I,J_obc,K,bi,bj)-wVel(I,J_obc-1,K,bi,bj))+ |
| 200 |
|
|
& ab2*(WN_STORE_4(I,K,bi,bj)-WN_STORE_1(I,K,bi,bj))) |
| 201 |
|
|
ENDIF |
| 202 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
| 203 |
adcroft |
1.2 |
C update/save storage arrays |
| 204 |
|
|
C uVel |
| 205 |
|
|
C copy t-1 to t-2 array |
| 206 |
|
|
UN_STORE_3(I,K,bi,bj)=UN_STORE_2(I,K,bi,bj) |
| 207 |
|
|
C copy (current time) t to t-1 arrays |
| 208 |
|
|
UN_STORE_2(I,K,bi,bj)=uVel(I,J_obc-1,K,bi,bj) - |
| 209 |
|
|
& uVel(I,J_obc-2,K,bi,bj) |
| 210 |
|
|
UN_STORE_1(I,K,bi,bj)=uVel(I,J_obc-1,K,bi,bj) |
| 211 |
|
|
UN_STORE_4(I,K,bi,bj)=uVel(I,J_obc,K,bi,bj) |
| 212 |
|
|
C vVel |
| 213 |
|
|
C copy t-1 to t-2 array |
| 214 |
|
|
VN_STORE_3(I,K,bi,bj)=VN_STORE_2(I,K,bi,bj) |
| 215 |
|
|
C copy (current time) t to t-1 arrays |
| 216 |
|
|
VN_STORE_2(I,K,bi,bj)=vVel(I,J_obc-1,K,bi,bj) - |
| 217 |
|
|
& vVel(I,J_obc-2,K,bi,bj) |
| 218 |
|
|
VN_STORE_1(I,K,bi,bj)=vVel(I,J_obc-1,K,bi,bj) |
| 219 |
|
|
VN_STORE_4(I,K,bi,bj)=vVel(I,J_obc,K,bi,bj) |
| 220 |
|
|
C Temperature |
| 221 |
|
|
C copy t-1 to t-2 array |
| 222 |
|
|
TN_STORE_3(I,K,bi,bj)=TN_STORE_2(I,K,bi,bj) |
| 223 |
|
|
C copy (current time) t to t-1 arrays |
| 224 |
|
|
TN_STORE_2(I,K,bi,bj)=theta(I,J_obc-1,K,bi,bj) - |
| 225 |
|
|
& theta(I,J_obc-2,K,bi,bj) |
| 226 |
|
|
TN_STORE_1(I,K,bi,bj)=theta(I,J_obc-1,K,bi,bj) |
| 227 |
|
|
TN_STORE_4(I,K,bi,bj)=theta(I,J_obc,K,bi,bj) |
| 228 |
|
|
C Salinity |
| 229 |
|
|
C copy t-1 to t-2 array |
| 230 |
|
|
SN_STORE_3(I,K,bi,bj)=SN_STORE_2(I,K,bi,bj) |
| 231 |
|
|
C copy (current time) t to t-1 arrays |
| 232 |
|
|
SN_STORE_2(I,K,bi,bj)=salt(I,J_obc-1,K,bi,bj) - |
| 233 |
|
|
& salt(I,J_obc-2,K,bi,bj) |
| 234 |
|
|
SN_STORE_1(I,K,bi,bj)=salt(I,J_obc-1,K,bi,bj) |
| 235 |
|
|
SN_STORE_4(I,K,bi,bj)=salt(I,J_obc,K,bi,bj) |
| 236 |
jmc |
1.7 |
#ifdef ALLOW_NONHYDROSTATIC |
| 237 |
|
|
IF ( nonHydrostatic ) THEN |
| 238 |
adcroft |
1.2 |
C wVel |
| 239 |
|
|
C copy t-1 to t-2 array |
| 240 |
|
|
WN_STORE_3(I,K,bi,bj)=WN_STORE_2(I,K,bi,bj) |
| 241 |
|
|
C copy (current time) t to t-1 arrays |
| 242 |
|
|
WN_STORE_2(I,K,bi,bj)=wVel(I,J_obc-1,K,bi,bj) - |
| 243 |
|
|
& wVel(I,J_obc-2,K,bi,bj) |
| 244 |
|
|
WN_STORE_1(I,K,bi,bj)=wVel(I,J_obc-1,K,bi,bj) |
| 245 |
|
|
WN_STORE_4(I,K,bi,bj)=wVel(I,J_obc,K,bi,bj) |
| 246 |
jmc |
1.7 |
ENDIF |
| 247 |
|
|
#endif /* ALLOW_NONHYDROSTATIC */ |
| 248 |
adcroft |
1.2 |
ENDIF |
| 249 |
|
|
ENDDO |
| 250 |
|
|
ENDDO |
| 251 |
|
|
|
| 252 |
heimbach |
1.5 |
#endif /* ALLOW_OBCS_NORTH */ |
| 253 |
adcroft |
1.2 |
#endif /* ALLOW_ORLANSKI */ |
| 254 |
|
|
RETURN |
| 255 |
|
|
END |
Parent Directory
| 
Revision Log
| 
Revision Graph