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C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_north.F,v 1.8 2011/05/24 14:31:14 jmc Exp $ |
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C $Name: $ |
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|
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#include "OBCS_OPTIONS.h" |
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|
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SUBROUTINE ORLANSKI_NORTH( bi, bj, futureTime, |
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I uVel, vVel, wVel, theta, salt, |
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I myThid ) |
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C /==========================================================\ |
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C | SUBROUTINE OBCS_RADIATE | |
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C | o Calculate future boundary data at open boundaries | |
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C | at time = futureTime by applying Orlanski radiation | |
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C | conditions. | |
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C |==========================================================| |
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C | | |
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C \==========================================================/ |
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IMPLICIT NONE |
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|
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C === Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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#include "OBCS_PARAMS.h" |
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#include "OBCS_GRID.h" |
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#include "OBCS_FIELDS.h" |
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#include "ORLANSKI.h" |
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|
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C SPK 6/2/00: Added radiative OBCs for salinity. |
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C SPK 6/6/00: Changed calculation of OB*w. When K=1, the |
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C upstream value is used. For example on the eastern OB: |
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C IF (K.EQ.1) THEN |
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C OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj) |
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C ENDIF |
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C |
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C SPK 7/7/00: 1) Removed OB*w fix (see above). |
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C 2) Added variable CMAX. Maximum diagnosed phase speed is now |
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C clamped to CMAX. For stability of AB-II scheme (CFL) the |
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C (non-dimensional) phase speed must be <0.5 |
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C 3) (Sonya Legg) Changed application of uVel and vVel. |
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C uVel on the western OB is actually applied at I_obc+1 |
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C while vVel on the southern OB is applied at J_obc+1. |
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C 4) (Sonya Legg) Added templates for forced OBs. |
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C |
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C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing |
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C phase speeds and time-stepping OB values. CL is still the |
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C non-dimensional phase speed; CVEL is the dimensional phase |
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C speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the |
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C appropriate grid spacings. Note that CMAX (with which CL |
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C is compared) remains non-dimensional. |
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C |
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C SPK 7/18/00: Added code to allow filtering of phase speed following |
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C Blumberg and Kantha. There is now a separate array |
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C CVEL_**, where **=Variable(U,V,T,S,W)Boundary(E,W,N,S) for |
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C the dimensional phase speed. These arrays are initialized to |
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C zero in ini_obcs.F. CVEL_** is filtered according to |
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C CVEL_** = fracCVEL*CVEL(new) + (1-fracCVEL)*CVEL_**(old). |
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C fracCVEL=1.0 turns off filtering. |
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C |
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C SPK 7/26/00: Changed code to average phase speed. A new variable |
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C 'cvelTimeScale' was created. This variable must now be |
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C specified. Then, fracCVEL=deltaT/cvelTimeScale. |
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C Since the goal is to smooth out the 'singularities' in the |
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C diagnosed phase speed, cvelTimeScale could be picked as the |
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C duration of the singular period in the unfiltered case. Thus, |
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C for a plane wave cvelTimeScale might be the time take for the |
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C wave to travel a distance DX, where DX is the width of the region |
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C near which d(phi)/dx is small. |
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|
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C == Routine arguments == |
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INTEGER bi, bj |
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_RL futureTime |
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_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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_RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy) |
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INTEGER myThid |
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|
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#ifdef ALLOW_ORLANSKI |
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#ifdef ALLOW_OBCS_NORTH |
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|
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C == Local variables == |
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INTEGER I, K, J_obc |
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_RL CL, ab1, ab2, fracCVEL, f1, f2 |
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|
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ab1 = 1.5 _d 0 + abEps /* Adams-Bashforth coefficients */ |
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ab2 = -0.5 _d 0 - abEps |
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/* CMAX is maximum allowable phase speed-CFL for AB-II */ |
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/* cvelTimeScale is averaging period for phase speed in sec. */ |
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|
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fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/ |
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f1 = fracCVEL /* dont change this. Set cvelTimeScale */ |
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f2 = 1.0-fracCVEL /* dont change this. set cvelTimeScale */ |
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|
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C Northern OB (Orlanski Radiation Condition) |
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DO K=1,Nr |
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DO I=1-OLx,sNx+OLx |
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J_obc=OB_Jn(I,bi,bj) |
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IF ( J_obc.NE.OB_indexNone ) THEN |
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C uVel |
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IF ((UN_STORE_2(I,K,bi,bj).eq.0.).and. |
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& (UN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
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CL=0. |
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ELSE |
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CL=-(uVel(I,J_obc-1,K,bi,bj)-UN_STORE_1(I,K,bi,bj))/ |
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& (ab1*UN_STORE_2(I,K,bi,bj) + ab2*UN_STORE_3(I,K,bi,bj)) |
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ENDIF |
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IF (CL.lt.0.) THEN |
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CL=0. |
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ELSEIF (CL.gt.CMAX) THEN |
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CL=CMAX |
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ENDIF |
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CVEL_UN(I,K,bi,bj) = f1*(CL*dyU(I,J_obc-1,bi,bj)/deltaT)+ |
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& f2*CVEL_UN(I,K,bi,bj) |
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C update OBC to next timestep |
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OBNu(I,K,bi,bj)=uVel(I,J_obc,K,bi,bj)- |
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& CVEL_UN(I,K,bi,bj)*deltaT*recip_dyU(I,J_obc,bi,bj)* |
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& (ab1*(uVel(I,J_obc,K,bi,bj)-uVel(I,J_obc-1,K,bi,bj)) + |
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& ab2*(UN_STORE_4(I,K,bi,bj)-UN_STORE_1(I,K,bi,bj))) |
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C vVel |
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IF ((VN_STORE_2(I,K,bi,bj).eq.0.).and. |
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& (VN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
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CL=0. |
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ELSE |
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CL=-(vVel(I,J_obc-1,K,bi,bj)-VN_STORE_1(I,K,bi,bj))/ |
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& (ab1*VN_STORE_2(I,K,bi,bj) + ab2*VN_STORE_3(I,K,bi,bj)) |
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ENDIF |
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IF (CL.lt.0.) THEN |
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CL=0. |
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ELSEIF (CL.gt.CMAX) THEN |
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CL=CMAX |
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ENDIF |
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CVEL_VN(I,K,bi,bj) = f1*(CL*dyF(I,J_obc-2,bi,bj)/deltaT)+ |
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& f2*CVEL_VN(I,K,bi,bj) |
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C update OBC to next timestep |
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OBNv(I,K,bi,bj)=vVel(I,J_obc,K,bi,bj)- |
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& CVEL_VN(I,K,bi,bj)*deltaT*recip_dyF(I,J_obc-1,bi,bj)* |
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& (ab1*(vVel(I,J_obc,K,bi,bj)-vVel(I,J_obc-1,K,bi,bj)) + |
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& ab2*(VN_STORE_4(I,K,bi,bj)-VN_STORE_1(I,K,bi,bj))) |
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C Temperature |
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IF ((TN_STORE_2(I,K,bi,bj).eq.0.).and. |
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& (TN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
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CL=0. |
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ELSE |
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CL=-(theta(I,J_obc-1,K,bi,bj)-TN_STORE_1(I,K,bi,bj))/ |
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& (ab1*TN_STORE_2(I,K,bi,bj) + ab2*TN_STORE_3(I,K,bi,bj)) |
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ENDIF |
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IF (CL.lt.0.) THEN |
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CL=0. |
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ELSEIF (CL.gt.CMAX) THEN |
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CL=CMAX |
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ENDIF |
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CVEL_TN(I,K,bi,bj) = f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT)+ |
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& f2*CVEL_TN(I,K,bi,bj) |
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C update OBC to next timestep |
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OBNt(I,K,bi,bj)=theta(I,J_obc,K,bi,bj)- |
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& CVEL_TN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
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& (ab1*(theta(I,J_obc,K,bi,bj)-theta(I,J_obc-1,K,bi,bj))+ |
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& ab2*(TN_STORE_4(I,K,bi,bj)-TN_STORE_1(I,K,bi,bj))) |
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C Salinity |
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IF ((SN_STORE_2(I,K,bi,bj).eq.0.).and. |
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& (SN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
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CL=0. |
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ELSE |
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CL=-(salt(I,J_obc-1,K,bi,bj)-SN_STORE_1(I,K,bi,bj))/ |
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& (ab1*SN_STORE_2(I,K,bi,bj) + ab2*SN_STORE_3(I,K,bi,bj)) |
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ENDIF |
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IF (CL.lt.0.) THEN |
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CL=0. |
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ELSEIF (CL.gt.CMAX) THEN |
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CL=CMAX |
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ENDIF |
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CVEL_SN(I,K,bi,bj) = f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT)+ |
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& f2*CVEL_SN(I,K,bi,bj) |
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C update OBC to next timestep |
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OBNs(I,K,bi,bj)=salt(I,J_obc,K,bi,bj)- |
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& CVEL_SN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
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& (ab1*(salt(I,J_obc,K,bi,bj)-salt(I,J_obc-1,K,bi,bj)) + |
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& ab2*(SN_STORE_4(I,K,bi,bj)-SN_STORE_1(I,K,bi,bj))) |
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#ifdef ALLOW_NONHYDROSTATIC |
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IF ( nonHydrostatic ) THEN |
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C wVel |
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IF ((WN_STORE_2(I,K,bi,bj).eq.0.).and. |
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& (WN_STORE_3(I,K,bi,bj).eq.0.)) THEN |
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CL=0. |
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ELSE |
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CL=-(wVel(I,J_obc-1,K,bi,bj)-WN_STORE_1(I,K,bi,bj))/ |
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& (ab1*WN_STORE_2(I,K,bi,bj)+ab2*WN_STORE_3(I,K,bi,bj)) |
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ENDIF |
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IF (CL.lt.0.) THEN |
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CL=0. |
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ELSEIF (CL.gt.CMAX) THEN |
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CL=CMAX |
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ENDIF |
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CVEL_WN(I,K,bi,bj)=f1*(CL*dyC(I,J_obc-1,bi,bj)/deltaT) |
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& + f2*CVEL_WN(I,K,bi,bj) |
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C update OBC to next timestep |
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OBNw(I,K,bi,bj)=wVel(I,J_obc,K,bi,bj)- |
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& CVEL_WN(I,K,bi,bj)*deltaT*recip_dyC(I,J_obc,bi,bj)* |
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& (ab1*(wVel(I,J_obc,K,bi,bj)-wVel(I,J_obc-1,K,bi,bj))+ |
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& ab2*(WN_STORE_4(I,K,bi,bj)-WN_STORE_1(I,K,bi,bj))) |
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ENDIF |
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#endif /* ALLOW_NONHYDROSTATIC */ |
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C update/save storage arrays |
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C uVel |
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C copy t-1 to t-2 array |
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UN_STORE_3(I,K,bi,bj)=UN_STORE_2(I,K,bi,bj) |
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C copy (current time) t to t-1 arrays |
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UN_STORE_2(I,K,bi,bj)=uVel(I,J_obc-1,K,bi,bj) - |
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& uVel(I,J_obc-2,K,bi,bj) |
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UN_STORE_1(I,K,bi,bj)=uVel(I,J_obc-1,K,bi,bj) |
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UN_STORE_4(I,K,bi,bj)=uVel(I,J_obc,K,bi,bj) |
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C vVel |
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C copy t-1 to t-2 array |
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VN_STORE_3(I,K,bi,bj)=VN_STORE_2(I,K,bi,bj) |
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C copy (current time) t to t-1 arrays |
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VN_STORE_2(I,K,bi,bj)=vVel(I,J_obc-1,K,bi,bj) - |
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& vVel(I,J_obc-2,K,bi,bj) |
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VN_STORE_1(I,K,bi,bj)=vVel(I,J_obc-1,K,bi,bj) |
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VN_STORE_4(I,K,bi,bj)=vVel(I,J_obc,K,bi,bj) |
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C Temperature |
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C copy t-1 to t-2 array |
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TN_STORE_3(I,K,bi,bj)=TN_STORE_2(I,K,bi,bj) |
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C copy (current time) t to t-1 arrays |
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TN_STORE_2(I,K,bi,bj)=theta(I,J_obc-1,K,bi,bj) - |
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& theta(I,J_obc-2,K,bi,bj) |
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TN_STORE_1(I,K,bi,bj)=theta(I,J_obc-1,K,bi,bj) |
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TN_STORE_4(I,K,bi,bj)=theta(I,J_obc,K,bi,bj) |
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C Salinity |
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C copy t-1 to t-2 array |
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SN_STORE_3(I,K,bi,bj)=SN_STORE_2(I,K,bi,bj) |
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C copy (current time) t to t-1 arrays |
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SN_STORE_2(I,K,bi,bj)=salt(I,J_obc-1,K,bi,bj) - |
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& salt(I,J_obc-2,K,bi,bj) |
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SN_STORE_1(I,K,bi,bj)=salt(I,J_obc-1,K,bi,bj) |
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SN_STORE_4(I,K,bi,bj)=salt(I,J_obc,K,bi,bj) |
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#ifdef ALLOW_NONHYDROSTATIC |
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IF ( nonHydrostatic ) THEN |
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C wVel |
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C copy t-1 to t-2 array |
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WN_STORE_3(I,K,bi,bj)=WN_STORE_2(I,K,bi,bj) |
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C copy (current time) t to t-1 arrays |
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WN_STORE_2(I,K,bi,bj)=wVel(I,J_obc-1,K,bi,bj) - |
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& wVel(I,J_obc-2,K,bi,bj) |
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WN_STORE_1(I,K,bi,bj)=wVel(I,J_obc-1,K,bi,bj) |
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WN_STORE_4(I,K,bi,bj)=wVel(I,J_obc,K,bi,bj) |
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ENDIF |
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#endif /* ALLOW_NONHYDROSTATIC */ |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#endif /* ALLOW_OBCS_NORTH */ |
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#endif /* ALLOW_ORLANSKI */ |
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RETURN |
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END |
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