pkg/obcs/orlanski_west.F

C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_west.F,v 1.9 2009/09/17 16:30:07 jmc Exp $
C $Name:  $
cc

#include "OBCS_OPTIONS.h"

      SUBROUTINE ORLANSKI_WEST( bi, bj, futureTime,
     I                      uVel, vVel, wVel, theta, salt,
     I                      myThid )
C     /==========================================================\
C     | SUBROUTINE ORLANSKI_WEST                                 |
C     | o Calculate future boundary data at open boundaries      |
C     |   at time = futureTime by applying Orlanski radiation    |
C     |   conditions.                                            |
C     |==========================================================|
C     |                                                          |
C     \==========================================================/
      IMPLICIT NONE

C     === Global variables ===
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "GRID.h"
#include "OBCS.h"
#include "ORLANSKI.h"

C SPK 6/2/00: Added radiative OBCs for salinity.
C SPK 6/6/00: Changed calculation of OB*w. When K=1, the
C             upstream value is used. For example on the eastern OB:
C                IF (K.EQ.1) THEN
C                   OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
C                ENDIF
C
C SPK 7/7/00: 1) Removed OB*w fix (see above).
C             2) Added variable CMAX. Maximum diagnosed phase speed is now
C                clamped to CMAX. For stability of AB-II scheme (CFL) the
C                (non-dimensional) phase speed must be <0.5
C             3) (Sonya Legg) Changed application of uVel and vVel.
C                uVel on the western OB is actually applied at I_obc+1
C                while vVel on the southern OB is applied at J_obc+1.
C             4) (Sonya Legg) Added templates for forced OBs.
C
C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing
C              phase speeds and time-stepping OB values. CL is still the
C              non-dimensional phase speed; CVEL is the dimensional phase
C              speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the
C              appropriate grid spacings. Note that CMAX (with which CL
C              is compared) remains non-dimensional.
C
C SPK 7/18/00: Added code to allow filtering of phase speed following
C              Blumberg and Kantha. There is now a separate array
C              CVEL_**, where **=Variable(U,V,T,S,W)Boundary(E,W,N,S) for
C              the dimensional phase speed. These arrays are initialized to
C              zero in ini_obcs.F. CVEL_** is filtered according to
C              CVEL_** = fracCVEL*CVEL(new) + (1-fracCVEL)*CVEL_**(old).
C              fracCVEL=1.0 turns off filtering.
C
C SPK 7/26/00: Changed code to average phase speed. A new variable
C              'cvelTimeScale' was created. This variable must now be
C              specified. Then, fracCVEL=deltaT/cvelTimeScale.
C              Since the goal is to smooth out the 'singularities' in the
C              diagnosed phase speed, cvelTimeScale could be picked as the
C              duration of the singular period in the unfiltered case. Thus,
C              for a plane wave cvelTimeScale might be the time take for the
C              wave to travel a distance DX, where DX is the width of the region
C              near which d(phi)/dx is small.
C
C JBG 3/24/03: Fixed phase speed at western boundary (as suggested by
C              Dale Durran's MWR paper). Fixed value (in m/s) is
C              passed in as variable CFIX in data.obcs.
C
C JBG 4/10/03: allow choice of Orlanski or fixed wavespeed (by means of new
C              booleans useFixedCEast and useFixedCWest) without
C              having to recompile each time
c SAL 1/7/03:  Fixed bug: implementation for salinity was incomplete
C

C     == Routine arguments ==
      INTEGER bi, bj
      _RL futureTime
      _RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      _RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
      INTEGER myThid

#ifdef ALLOW_ORLANSKI
#ifdef ALLOW_OBCS_WEST

C     == Local variables ==
      INTEGER J, K, I_obc
      _RL CL, ab1, ab2, fracCVEL, f1, f2

      ab1   =  1.5 _d 0 + abEps /* Adams-Bashforth coefficients */
      ab2   = -0.5 _d 0 - abEps
      /* CMAX is maximum allowable phase speed-CFL for AB-II */
      /* cvelTimeScale is averaging period for phase speed in sec. */

      fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/
      f1 = fracCVEL /* dont change this. Set cvelTimeScale */
      f2 = 1.0-fracCVEL   /* dont change this. set cvelTimeScale */

C      Western OB (Orlanski Radiation Condition)
       DO K=1,Nr
         DO J=1-Oly,sNy+Oly
            I_obc=OB_Iw(J,bi,bj)
            IF (I_obc.ne.0) THEN
C              uVel (to be applied at I_obc+1)
               IF ((UW_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (UW_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=(uVel(I_obc+2,J,K,bi,bj)-UW_STORE_1(J,K,bi,bj))/
     &          (ab1*UW_STORE_2(J,K,bi,bj) + ab2*UW_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCWest) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_UW(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_UW(J,K,bi,bj) = f1*(CL*dxF(I_obc+2,J,bi,bj)/deltaT
     &              )+f2*CVEL_UW(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBWu(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)+
     &          CVEL_UW(J,K,bi,bj)*(deltaT*recip_dxF(I_obc+1,J,bi,bj))*
     &          (ab1*(uVel(I_obc+2,J,K,bi,bj)-uVel(I_obc+1,J,K,bi,bj))+
     &          ab2*(UW_STORE_1(J,K,bi,bj)-UW_STORE_4(J,K,bi,bj)))
C              vVel
               IF ((VW_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (VW_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=(vVel(I_obc+1,J,K,bi,bj)-VW_STORE_1(J,K,bi,bj))/
     &          (ab1*VW_STORE_2(J,K,bi,bj) + ab2*VW_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCWest) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_VW(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_VW(J,K,bi,bj) = f1*(CL*dxV(I_obc+2,J,bi,bj)/deltaT
     &              )+f2*CVEL_VW(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBWv(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)+
     &           CVEL_VW(J,K,bi,bj)*(deltaT*recip_dxV(I_obc+1,J,bi,bj))*
     &           (ab1*(vVel(I_obc+1,J,K,bi,bj)-vVel(I_obc,J,K,bi,bj))+
     &           ab2*(VW_STORE_1(J,K,bi,bj)-VW_STORE_4(J,K,bi,bj)))
C              Temperature
               IF ((TW_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (TW_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=(theta(I_obc+1,J,K,bi,bj)-TW_STORE_1(J,K,bi,bj))/
     &          (ab1*TW_STORE_2(J,K,bi,bj) + ab2*TW_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCWest) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_TW(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_TW(J,K,bi,bj) = f1*(CL*dxC(I_obc+2,J,bi,bj)/deltaT
     &              )+f2*CVEL_TW(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBWt(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)+
     &          CVEL_TW(J,K,bi,bj)*(deltaT*recip_dxC(I_obc+1,J,bi,bj))*
     &          (ab1*(theta(I_obc+1,J,K,bi,bj)-theta(I_obc,J,K,bi,bj))+
     &          ab2*(TW_STORE_1(J,K,bi,bj)-TW_STORE_4(J,K,bi,bj)))
C              Salinity
               IF ((SW_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (SW_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=(salt(I_obc+1,J,K,bi,bj)-SW_STORE_1(J,K,bi,bj))/
     &          (ab1*SW_STORE_2(J,K,bi,bj) + ab2*SW_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCWest) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_SW(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_SW(J,K,bi,bj) = f1*(CL*dxC(I_obc+2,J,bi,bj)/deltaT
     &              )+f2*CVEL_SW(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBWs(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)+
     &           CVEL_SW(J,K,bi,bj)*(deltaT*recip_dxC(I_obc+1,J,bi,bj))*
     &           (ab1*(salt(I_obc+1,J,K,bi,bj)-salt(I_obc,J,K,bi,bj))+
     &           ab2*(SW_STORE_1(J,K,bi,bj)-SW_STORE_4(J,K,bi,bj)))
#ifdef ALLOW_NONHYDROSTATIC
             IF ( nonHydrostatic ) THEN
C              wVel
               IF ((WW_STORE_2(J,K,bi,bj).eq.0.).and.
     &            (WW_STORE_3(J,K,bi,bj).eq.0.)) THEN
                  CL=0.
               ELSE
                  CL=(wVel(I_obc+1,J,K,bi,bj)-WW_STORE_1(J,K,bi,bj))/
     &          (ab1*WW_STORE_2(J,K,bi,bj)+ab2*WW_STORE_3(J,K,bi,bj))
               ENDIF
               IF (CL.lt.0.) THEN
                  CL=0.
               ELSEIF (CL.gt.CMAX) THEN
                  CL=CMAX
               ENDIF
               IF (useFixedCWest) THEN
C                Fixed phase speed (ignoring all of that painstakingly
C                saved data...)
                 CVEL_WW(J,K,bi,bj) = CFIX
               ELSE
                 CVEL_WW(J,K,bi,bj)=f1*(CL*dxC(I_obc+2,J,bi,bj)/deltaT)
     &                   + f2*CVEL_WW(J,K,bi,bj)
               ENDIF
C              update OBC to next timestep
               OBWw(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)+
     &           CVEL_WW(J,K,bi,bj)*(deltaT*recip_dxC(I_obc+1,J,bi,bj))*
     &            (ab1*(wVel(I_obc+1,J,K,bi,bj)-wVel(I_obc,J,K,bi,bj))+
     &            ab2*(WW_STORE_1(J,K,bi,bj)-WW_STORE_4(J,K,bi,bj)))
             ENDIF
#endif /* ALLOW_NONHYDROSTATIC */
C              update/save storage arrays
C              uVel
C              copy t-1 to t-2 array
               UW_STORE_3(J,K,bi,bj)=UW_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               UW_STORE_2(J,K,bi,bj)=uVel(I_obc+3,J,K,bi,bj) -
     &         uVel(I_obc+2,J,K,bi,bj)
               UW_STORE_1(J,K,bi,bj)=uVel(I_obc+2,J,K,bi,bj)
               UW_STORE_4(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)
C              vVel
C              copy t-1 to t-2 array
               VW_STORE_3(J,K,bi,bj)=VW_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               VW_STORE_2(J,K,bi,bj)=vVel(I_obc+2,J,K,bi,bj) -
     &         vVel(I_obc+1,J,K,bi,bj)
               VW_STORE_1(J,K,bi,bj)=vVel(I_obc+1,J,K,bi,bj)
               VW_STORE_4(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)
C              Temperature
C              copy t-1 to t-2 array
               TW_STORE_3(J,K,bi,bj)=TW_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               TW_STORE_2(J,K,bi,bj)=theta(I_obc+2,J,K,bi,bj) -
     &         theta(I_obc+1,J,K,bi,bj)
               TW_STORE_1(J,K,bi,bj)=theta(I_obc+1,J,K,bi,bj)
               TW_STORE_4(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)
c              Salinity
C              copy t-1 to t-2 array
               SW_STORE_3(J,K,bi,bj)=SW_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               SW_STORE_2(J,K,bi,bj)=salt(I_obc+2,J,K,bi,bj) -
     &         salt(I_obc+1,J,K,bi,bj)
               SW_STORE_1(J,K,bi,bj)=salt(I_obc+1,J,K,bi,bj)
               SW_STORE_4(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)
#ifdef ALLOW_NONHYDROSTATIC
             IF ( nonHydrostatic ) THEN
C              wVel
C              copy t-1 to t-2 array
               WW_STORE_3(J,K,bi,bj)=WW_STORE_2(J,K,bi,bj)
C              copy (current time) t to t-1 arrays
               WW_STORE_2(J,K,bi,bj)=wVel(I_obc+2,J,K,bi,bj) -
     &         wVel(I_obc+1,J,K,bi,bj)
               WW_STORE_1(J,K,bi,bj)=wVel(I_obc+1,J,K,bi,bj)
               WW_STORE_4(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)
             ENDIF
#endif /* ALLOW_NONHYDROSTATIC */
            ENDIF
         ENDDO
      ENDDO

#endif
#endif /* ALLOW_ORLANSKI */
      RETURN
      END
1	jmc	1.10	C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_west.F,v 1.9 2009/09/17 16:30:07 jmc Exp $
2	adcroft	1.6	C $Name: $
3	adcroft	1.5	cc
4	adcroft	1.2
5			#include "OBCS_OPTIONS.h"
6
7	jmc	1.9	SUBROUTINE ORLANSKI_WEST( bi, bj, futureTime,
8			I uVel, vVel, wVel, theta, salt,
9	adcroft	1.2	I myThid )
10			C /==========================================================\
11			C \| SUBROUTINE ORLANSKI_WEST \|
12			C \| o Calculate future boundary data at open boundaries \|
13			C \| at time = futureTime by applying Orlanski radiation \|
14			C \| conditions. \|
15			C \|==========================================================\|
16			C \| \|
17			C \==========================================================/
18			IMPLICIT NONE
19
20			C === Global variables ===
21			#include "SIZE.h"
22			#include "EEPARAMS.h"
23			#include "PARAMS.h"
24			#include "GRID.h"
25			#include "OBCS.h"
26			#include "ORLANSKI.h"
27
28	jmc	1.9	C SPK 6/2/00: Added radiative OBCs for salinity.
29			C SPK 6/6/00: Changed calculation of OB*w. When K=1, the
30	adcroft	1.2	C upstream value is used. For example on the eastern OB:
31			C IF (K.EQ.1) THEN
32			C OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
33			C ENDIF
34	jmc	1.9	C
35	adcroft	1.2	C SPK 7/7/00: 1) Removed OB*w fix (see above).
36			C 2) Added variable CMAX. Maximum diagnosed phase speed is now
37	jmc	1.9	C clamped to CMAX. For stability of AB-II scheme (CFL) the
38	adcroft	1.2	C (non-dimensional) phase speed must be <0.5
39			C 3) (Sonya Legg) Changed application of uVel and vVel.
40	jmc	1.9	C uVel on the western OB is actually applied at I_obc+1
41	adcroft	1.2	C while vVel on the southern OB is applied at J_obc+1.
42	adcroft	1.3	C 4) (Sonya Legg) Added templates for forced OBs.
43	adcroft	1.2	C
44			C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing
45			C phase speeds and time-stepping OB values. CL is still the
46			C non-dimensional phase speed; CVEL is the dimensional phase
47	jmc	1.9	C speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the
48			C appropriate grid spacings. Note that CMAX (with which CL
49	adcroft	1.2	C is compared) remains non-dimensional.
50	jmc	1.9	C
51			C SPK 7/18/00: Added code to allow filtering of phase speed following
52			C Blumberg and Kantha. There is now a separate array
53	adcroft	1.2	C CVEL_, where =Variable(U,V,T,S,W)Boundary(E,W,N,S) for
54	jmc	1.9	C the dimensional phase speed. These arrays are initialized to
55	adcroft	1.2	C zero in ini_obcs.F. CVEL_** is filtered according to
56			C CVEL_** = fracCVELCVEL(new) + (1-fracCVEL)CVEL_**(old).
57			C fracCVEL=1.0 turns off filtering.
58			C
59	jmc	1.9	C SPK 7/26/00: Changed code to average phase speed. A new variable
60	adcroft	1.2	C 'cvelTimeScale' was created. This variable must now be
61	jmc	1.9	C specified. Then, fracCVEL=deltaT/cvelTimeScale.
62			C Since the goal is to smooth out the 'singularities' in the
63			C diagnosed phase speed, cvelTimeScale could be picked as the
64			C duration of the singular period in the unfiltered case. Thus,
65			C for a plane wave cvelTimeScale might be the time take for the
66	adcroft	1.2	C wave to travel a distance DX, where DX is the width of the region
67			C near which d(phi)/dx is small.
68	adcroft	1.5	C
69			C JBG 3/24/03: Fixed phase speed at western boundary (as suggested by
70	jmc	1.10	C Dale Durran's MWR paper). Fixed value (in m/s) is
71	adcroft	1.5	C passed in as variable CFIX in data.obcs.
72			C
73			C JBG 4/10/03: allow choice of Orlanski or fixed wavespeed (by means of new
74			C booleans useFixedCEast and useFixedCWest) without
75			C having to recompile each time
76			c SAL 1/7/03: Fixed bug: implementation for salinity was incomplete
77			C
78	adcroft	1.2
79			C == Routine arguments ==
80			INTEGER bi, bj
81			_RL futureTime
82			_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
83			_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
84			_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
85			_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
86			_RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
87			INTEGER myThid
88
89			#ifdef ALLOW_ORLANSKI
90	heimbach	1.8	#ifdef ALLOW_OBCS_WEST
91	adcroft	1.2
92			C == Local variables ==
93			INTEGER J, K, I_obc
94			_RL CL, ab1, ab2, fracCVEL, f1, f2
95
96			ab1 = 1.5 _d 0 + abEps /* Adams-Bashforth coefficients */
97			ab2 = -0.5 _d 0 - abEps
98			/* CMAX is maximum allowable phase speed-CFL for AB-II */
99			/* cvelTimeScale is averaging period for phase speed in sec. */
100
101			fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/
102	adcroft	1.3	f1 = fracCVEL /* dont change this. Set cvelTimeScale */
103			f2 = 1.0-fracCVEL /* dont change this. set cvelTimeScale */
104	adcroft	1.2
105			C Western OB (Orlanski Radiation Condition)
106			DO K=1,Nr
107			DO J=1-Oly,sNy+Oly
108			I_obc=OB_Iw(J,bi,bj)
109			IF (I_obc.ne.0) THEN
110			C uVel (to be applied at I_obc+1)
111			IF ((UW_STORE_2(J,K,bi,bj).eq.0.).and.
112			& (UW_STORE_3(J,K,bi,bj).eq.0.)) THEN
113			CL=0.
114			ELSE
115			CL=(uVel(I_obc+2,J,K,bi,bj)-UW_STORE_1(J,K,bi,bj))/
116			& (ab1UW_STORE_2(J,K,bi,bj) + ab2UW_STORE_3(J,K,bi,bj))
117			ENDIF
118			IF (CL.lt.0.) THEN
119			CL=0.
120			ELSEIF (CL.gt.CMAX) THEN
121			CL=CMAX
122			ENDIF
123	adcroft	1.5	IF (useFixedCWest) THEN
124	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
125			C saved data...)
126	adcroft	1.5	CVEL_UW(J,K,bi,bj) = CFIX
127			ELSE
128	adcroft	1.6	CVEL_UW(J,K,bi,bj) = f1(CLdxF(I_obc+2,J,bi,bj)/deltaT
129			& )+f2*CVEL_UW(J,K,bi,bj)
130	adcroft	1.5	ENDIF
131	adcroft	1.2	C update OBC to next timestep
132			OBWu(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)+
133	adcroft	1.7	& CVEL_UW(J,K,bi,bj)(deltaTrecip_dxF(I_obc+1,J,bi,bj))*
134	adcroft	1.2	& (ab1*(uVel(I_obc+2,J,K,bi,bj)-uVel(I_obc+1,J,K,bi,bj))+
135			& ab2*(UW_STORE_1(J,K,bi,bj)-UW_STORE_4(J,K,bi,bj)))
136			C vVel
137			IF ((VW_STORE_2(J,K,bi,bj).eq.0.).and.
138			& (VW_STORE_3(J,K,bi,bj).eq.0.)) THEN
139			CL=0.
140			ELSE
141			CL=(vVel(I_obc+1,J,K,bi,bj)-VW_STORE_1(J,K,bi,bj))/
142			& (ab1VW_STORE_2(J,K,bi,bj) + ab2VW_STORE_3(J,K,bi,bj))
143			ENDIF
144			IF (CL.lt.0.) THEN
145			CL=0.
146			ELSEIF (CL.gt.CMAX) THEN
147			CL=CMAX
148			ENDIF
149	adcroft	1.5	IF (useFixedCWest) THEN
150	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
151			C saved data...)
152	adcroft	1.5	CVEL_VW(J,K,bi,bj) = CFIX
153			ELSE
154	adcroft	1.6	CVEL_VW(J,K,bi,bj) = f1(CLdxV(I_obc+2,J,bi,bj)/deltaT
155			& )+f2*CVEL_VW(J,K,bi,bj)
156	adcroft	1.5	ENDIF
157	adcroft	1.2	C update OBC to next timestep
158			OBWv(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)+
159	adcroft	1.7	& CVEL_VW(J,K,bi,bj)(deltaTrecip_dxV(I_obc+1,J,bi,bj))*
160	adcroft	1.2	& (ab1*(vVel(I_obc+1,J,K,bi,bj)-vVel(I_obc,J,K,bi,bj))+
161			& ab2*(VW_STORE_1(J,K,bi,bj)-VW_STORE_4(J,K,bi,bj)))
162			C Temperature
163			IF ((TW_STORE_2(J,K,bi,bj).eq.0.).and.
164			& (TW_STORE_3(J,K,bi,bj).eq.0.)) THEN
165			CL=0.
166			ELSE
167			CL=(theta(I_obc+1,J,K,bi,bj)-TW_STORE_1(J,K,bi,bj))/
168			& (ab1TW_STORE_2(J,K,bi,bj) + ab2TW_STORE_3(J,K,bi,bj))
169			ENDIF
170			IF (CL.lt.0.) THEN
171			CL=0.
172			ELSEIF (CL.gt.CMAX) THEN
173			CL=CMAX
174			ENDIF
175	adcroft	1.5	IF (useFixedCWest) THEN
176	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
177			C saved data...)
178	adcroft	1.5	CVEL_TW(J,K,bi,bj) = CFIX
179			ELSE
180	adcroft	1.6	CVEL_TW(J,K,bi,bj) = f1(CLdxC(I_obc+2,J,bi,bj)/deltaT
181			& )+f2*CVEL_TW(J,K,bi,bj)
182	adcroft	1.5	ENDIF
183	adcroft	1.2	C update OBC to next timestep
184			OBWt(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)+
185	adcroft	1.7	& CVEL_TW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
186	adcroft	1.2	& (ab1*(theta(I_obc+1,J,K,bi,bj)-theta(I_obc,J,K,bi,bj))+
187			& ab2*(TW_STORE_1(J,K,bi,bj)-TW_STORE_4(J,K,bi,bj)))
188			C Salinity
189			IF ((SW_STORE_2(J,K,bi,bj).eq.0.).and.
190			& (SW_STORE_3(J,K,bi,bj).eq.0.)) THEN
191			CL=0.
192			ELSE
193			CL=(salt(I_obc+1,J,K,bi,bj)-SW_STORE_1(J,K,bi,bj))/
194			& (ab1SW_STORE_2(J,K,bi,bj) + ab2SW_STORE_3(J,K,bi,bj))
195			ENDIF
196			IF (CL.lt.0.) THEN
197			CL=0.
198			ELSEIF (CL.gt.CMAX) THEN
199			CL=CMAX
200			ENDIF
201	adcroft	1.5	IF (useFixedCWest) THEN
202	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
203			C saved data...)
204	adcroft	1.5	CVEL_SW(J,K,bi,bj) = CFIX
205			ELSE
206	adcroft	1.6	CVEL_SW(J,K,bi,bj) = f1(CLdxC(I_obc+2,J,bi,bj)/deltaT
207			& )+f2*CVEL_SW(J,K,bi,bj)
208	adcroft	1.5	ENDIF
209	adcroft	1.2	C update OBC to next timestep
210			OBWs(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)+
211	adcroft	1.7	& CVEL_SW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
212	adcroft	1.2	& (ab1*(salt(I_obc+1,J,K,bi,bj)-salt(I_obc,J,K,bi,bj))+
213			& ab2*(SW_STORE_1(J,K,bi,bj)-SW_STORE_4(J,K,bi,bj)))
214	jmc	1.10	#ifdef ALLOW_NONHYDROSTATIC
215			IF ( nonHydrostatic ) THEN
216	adcroft	1.2	C wVel
217	jmc	1.10	IF ((WW_STORE_2(J,K,bi,bj).eq.0.).and.
218			& (WW_STORE_3(J,K,bi,bj).eq.0.)) THEN
219			CL=0.
220			ELSE
221			CL=(wVel(I_obc+1,J,K,bi,bj)-WW_STORE_1(J,K,bi,bj))/
222			& (ab1WW_STORE_2(J,K,bi,bj)+ab2WW_STORE_3(J,K,bi,bj))
223			ENDIF
224			IF (CL.lt.0.) THEN
225			CL=0.
226			ELSEIF (CL.gt.CMAX) THEN
227			CL=CMAX
228			ENDIF
229	adcroft	1.5	IF (useFixedCWest) THEN
230	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
231			C saved data...)
232	adcroft	1.5	CVEL_WW(J,K,bi,bj) = CFIX
233			ELSE
234			CVEL_WW(J,K,bi,bj)=f1(CLdxC(I_obc+2,J,bi,bj)/deltaT)
235	adcroft	1.2	& + f2*CVEL_WW(J,K,bi,bj)
236	adcroft	1.5	ENDIF
237	jmc	1.10	C update OBC to next timestep
238			OBWw(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)+
239	adcroft	1.7	& CVEL_WW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
240	adcroft	1.2	& (ab1*(wVel(I_obc+1,J,K,bi,bj)-wVel(I_obc,J,K,bi,bj))+
241			& ab2*(WW_STORE_1(J,K,bi,bj)-WW_STORE_4(J,K,bi,bj)))
242	jmc	1.10	ENDIF
243			#endif /* ALLOW_NONHYDROSTATIC */
244	adcroft	1.2	C update/save storage arrays
245			C uVel
246			C copy t-1 to t-2 array
247			UW_STORE_3(J,K,bi,bj)=UW_STORE_2(J,K,bi,bj)
248			C copy (current time) t to t-1 arrays
249			UW_STORE_2(J,K,bi,bj)=uVel(I_obc+3,J,K,bi,bj) -
250			& uVel(I_obc+2,J,K,bi,bj)
251			UW_STORE_1(J,K,bi,bj)=uVel(I_obc+2,J,K,bi,bj)
252			UW_STORE_4(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)
253			C vVel
254			C copy t-1 to t-2 array
255			VW_STORE_3(J,K,bi,bj)=VW_STORE_2(J,K,bi,bj)
256			C copy (current time) t to t-1 arrays
257			VW_STORE_2(J,K,bi,bj)=vVel(I_obc+2,J,K,bi,bj) -
258			& vVel(I_obc+1,J,K,bi,bj)
259			VW_STORE_1(J,K,bi,bj)=vVel(I_obc+1,J,K,bi,bj)
260			VW_STORE_4(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)
261			C Temperature
262			C copy t-1 to t-2 array
263			TW_STORE_3(J,K,bi,bj)=TW_STORE_2(J,K,bi,bj)
264			C copy (current time) t to t-1 arrays
265			TW_STORE_2(J,K,bi,bj)=theta(I_obc+2,J,K,bi,bj) -
266			& theta(I_obc+1,J,K,bi,bj)
267			TW_STORE_1(J,K,bi,bj)=theta(I_obc+1,J,K,bi,bj)
268			TW_STORE_4(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)
269	adcroft	1.5	c Salinity
270			C copy t-1 to t-2 array
271	jmc	1.10	SW_STORE_3(J,K,bi,bj)=SW_STORE_2(J,K,bi,bj)
272	adcroft	1.5	C copy (current time) t to t-1 arrays
273			SW_STORE_2(J,K,bi,bj)=salt(I_obc+2,J,K,bi,bj) -
274			& salt(I_obc+1,J,K,bi,bj)
275			SW_STORE_1(J,K,bi,bj)=salt(I_obc+1,J,K,bi,bj)
276	jmc	1.10	SW_STORE_4(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)
277			#ifdef ALLOW_NONHYDROSTATIC
278			IF ( nonHydrostatic ) THEN
279	adcroft	1.2	C wVel
280			C copy t-1 to t-2 array
281			WW_STORE_3(J,K,bi,bj)=WW_STORE_2(J,K,bi,bj)
282			C copy (current time) t to t-1 arrays
283			WW_STORE_2(J,K,bi,bj)=wVel(I_obc+2,J,K,bi,bj) -
284			& wVel(I_obc+1,J,K,bi,bj)
285			WW_STORE_1(J,K,bi,bj)=wVel(I_obc+1,J,K,bi,bj)
286			WW_STORE_4(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)
287	jmc	1.10	ENDIF
288			#endif /* ALLOW_NONHYDROSTATIC */
289	adcroft	1.2	ENDIF
290			ENDDO
291			ENDDO
292
293	heimbach	1.8	#endif
294	adcroft	1.2	#endif /* ALLOW_ORLANSKI */
295			RETURN
296			END