pkg/obcs/orlanski_west.F

C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_west.F,v 1.11 2010/03/16 00:21:26 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_PARAMS.h"
#include "OBCS_GRID.h"
#include "OBCS_FIELDS.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 in his 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	1.12	C $Header: /u/gcmpack/MITgcm/pkg/obcs/orlanski_west.F,v 1.11 2010/03/16 00:21:26 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	jmc	1.12	#include "OBCS_PARAMS.h"
26			#include "OBCS_GRID.h"
27			#include "OBCS_FIELDS.h"
28	adcroft	1.2	#include "ORLANSKI.h"
29
30	jmc	1.9	C SPK 6/2/00: Added radiative OBCs for salinity.
31			C SPK 6/6/00: Changed calculation of OB*w. When K=1, the
32	adcroft	1.2	C upstream value is used. For example on the eastern OB:
33			C IF (K.EQ.1) THEN
34			C OBEw(J,K,bi,bj)=wVel(I_obc-1,J,K,bi,bj)
35			C ENDIF
36	jmc	1.9	C
37	adcroft	1.2	C SPK 7/7/00: 1) Removed OB*w fix (see above).
38			C 2) Added variable CMAX. Maximum diagnosed phase speed is now
39	jmc	1.9	C clamped to CMAX. For stability of AB-II scheme (CFL) the
40	adcroft	1.2	C (non-dimensional) phase speed must be <0.5
41			C 3) (Sonya Legg) Changed application of uVel and vVel.
42	jmc	1.9	C uVel on the western OB is actually applied at I_obc+1
43	adcroft	1.2	C while vVel on the southern OB is applied at J_obc+1.
44	adcroft	1.3	C 4) (Sonya Legg) Added templates for forced OBs.
45	adcroft	1.2	C
46			C SPK 7/17/00: Non-uniform resolution is now taken into account in diagnosing
47			C phase speeds and time-stepping OB values. CL is still the
48			C non-dimensional phase speed; CVEL is the dimensional phase
49	jmc	1.9	C speed: CVEL = CL*(dx or dy)/dt, where dx and dy is the
50			C appropriate grid spacings. Note that CMAX (with which CL
51	adcroft	1.2	C is compared) remains non-dimensional.
52	jmc	1.9	C
53			C SPK 7/18/00: Added code to allow filtering of phase speed following
54			C Blumberg and Kantha. There is now a separate array
55	adcroft	1.2	C CVEL_, where =Variable(U,V,T,S,W)Boundary(E,W,N,S) for
56	jmc	1.9	C the dimensional phase speed. These arrays are initialized to
57	adcroft	1.2	C zero in ini_obcs.F. CVEL_** is filtered according to
58			C CVEL_** = fracCVELCVEL(new) + (1-fracCVEL)CVEL_**(old).
59			C fracCVEL=1.0 turns off filtering.
60			C
61	jmc	1.9	C SPK 7/26/00: Changed code to average phase speed. A new variable
62	adcroft	1.2	C 'cvelTimeScale' was created. This variable must now be
63	jmc	1.9	C specified. Then, fracCVEL=deltaT/cvelTimeScale.
64			C Since the goal is to smooth out the 'singularities' in the
65			C diagnosed phase speed, cvelTimeScale could be picked as the
66			C duration of the singular period in the unfiltered case. Thus,
67			C for a plane wave cvelTimeScale might be the time take for the
68	adcroft	1.2	C wave to travel a distance DX, where DX is the width of the region
69			C near which d(phi)/dx is small.
70	adcroft	1.5	C
71			C JBG 3/24/03: Fixed phase speed at western boundary (as suggested by
72	jmc	1.11	C Dale Durran in his MWR paper). Fixed value (in m/s) is
73	adcroft	1.5	C passed in as variable CFIX in data.obcs.
74			C
75			C JBG 4/10/03: allow choice of Orlanski or fixed wavespeed (by means of new
76			C booleans useFixedCEast and useFixedCWest) without
77			C having to recompile each time
78			c SAL 1/7/03: Fixed bug: implementation for salinity was incomplete
79			C
80	adcroft	1.2
81			C == Routine arguments ==
82			INTEGER bi, bj
83			_RL futureTime
84			_RL uVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
85			_RL vVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
86			_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
87			_RL theta(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
88			_RL salt (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr,nSx,nSy)
89			INTEGER myThid
90
91			#ifdef ALLOW_ORLANSKI
92	heimbach	1.8	#ifdef ALLOW_OBCS_WEST
93	adcroft	1.2
94			C == Local variables ==
95			INTEGER J, K, I_obc
96			_RL CL, ab1, ab2, fracCVEL, f1, f2
97
98			ab1 = 1.5 _d 0 + abEps /* Adams-Bashforth coefficients */
99			ab2 = -0.5 _d 0 - abEps
100			/* CMAX is maximum allowable phase speed-CFL for AB-II */
101			/* cvelTimeScale is averaging period for phase speed in sec. */
102
103			fracCVEL = deltaT/cvelTimeScale /* fraction of new phase speed used*/
104	adcroft	1.3	f1 = fracCVEL /* dont change this. Set cvelTimeScale */
105			f2 = 1.0-fracCVEL /* dont change this. set cvelTimeScale */
106	adcroft	1.2
107			C Western OB (Orlanski Radiation Condition)
108			DO K=1,Nr
109			DO J=1-Oly,sNy+Oly
110			I_obc=OB_Iw(J,bi,bj)
111			IF (I_obc.ne.0) THEN
112			C uVel (to be applied at I_obc+1)
113			IF ((UW_STORE_2(J,K,bi,bj).eq.0.).and.
114			& (UW_STORE_3(J,K,bi,bj).eq.0.)) THEN
115			CL=0.
116			ELSE
117			CL=(uVel(I_obc+2,J,K,bi,bj)-UW_STORE_1(J,K,bi,bj))/
118			& (ab1UW_STORE_2(J,K,bi,bj) + ab2UW_STORE_3(J,K,bi,bj))
119			ENDIF
120			IF (CL.lt.0.) THEN
121			CL=0.
122			ELSEIF (CL.gt.CMAX) THEN
123			CL=CMAX
124			ENDIF
125	adcroft	1.5	IF (useFixedCWest) THEN
126	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
127			C saved data...)
128	adcroft	1.5	CVEL_UW(J,K,bi,bj) = CFIX
129			ELSE
130	adcroft	1.6	CVEL_UW(J,K,bi,bj) = f1(CLdxF(I_obc+2,J,bi,bj)/deltaT
131			& )+f2*CVEL_UW(J,K,bi,bj)
132	adcroft	1.5	ENDIF
133	adcroft	1.2	C update OBC to next timestep
134			OBWu(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)+
135	adcroft	1.7	& CVEL_UW(J,K,bi,bj)(deltaTrecip_dxF(I_obc+1,J,bi,bj))*
136	adcroft	1.2	& (ab1*(uVel(I_obc+2,J,K,bi,bj)-uVel(I_obc+1,J,K,bi,bj))+
137			& ab2*(UW_STORE_1(J,K,bi,bj)-UW_STORE_4(J,K,bi,bj)))
138			C vVel
139			IF ((VW_STORE_2(J,K,bi,bj).eq.0.).and.
140			& (VW_STORE_3(J,K,bi,bj).eq.0.)) THEN
141			CL=0.
142			ELSE
143			CL=(vVel(I_obc+1,J,K,bi,bj)-VW_STORE_1(J,K,bi,bj))/
144			& (ab1VW_STORE_2(J,K,bi,bj) + ab2VW_STORE_3(J,K,bi,bj))
145			ENDIF
146			IF (CL.lt.0.) THEN
147			CL=0.
148			ELSEIF (CL.gt.CMAX) THEN
149			CL=CMAX
150			ENDIF
151	adcroft	1.5	IF (useFixedCWest) THEN
152	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
153			C saved data...)
154	adcroft	1.5	CVEL_VW(J,K,bi,bj) = CFIX
155			ELSE
156	adcroft	1.6	CVEL_VW(J,K,bi,bj) = f1(CLdxV(I_obc+2,J,bi,bj)/deltaT
157			& )+f2*CVEL_VW(J,K,bi,bj)
158	adcroft	1.5	ENDIF
159	adcroft	1.2	C update OBC to next timestep
160			OBWv(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)+
161	adcroft	1.7	& CVEL_VW(J,K,bi,bj)(deltaTrecip_dxV(I_obc+1,J,bi,bj))*
162	adcroft	1.2	& (ab1*(vVel(I_obc+1,J,K,bi,bj)-vVel(I_obc,J,K,bi,bj))+
163			& ab2*(VW_STORE_1(J,K,bi,bj)-VW_STORE_4(J,K,bi,bj)))
164			C Temperature
165			IF ((TW_STORE_2(J,K,bi,bj).eq.0.).and.
166			& (TW_STORE_3(J,K,bi,bj).eq.0.)) THEN
167			CL=0.
168			ELSE
169			CL=(theta(I_obc+1,J,K,bi,bj)-TW_STORE_1(J,K,bi,bj))/
170			& (ab1TW_STORE_2(J,K,bi,bj) + ab2TW_STORE_3(J,K,bi,bj))
171			ENDIF
172			IF (CL.lt.0.) THEN
173			CL=0.
174			ELSEIF (CL.gt.CMAX) THEN
175			CL=CMAX
176			ENDIF
177	adcroft	1.5	IF (useFixedCWest) THEN
178	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
179			C saved data...)
180	adcroft	1.5	CVEL_TW(J,K,bi,bj) = CFIX
181			ELSE
182	adcroft	1.6	CVEL_TW(J,K,bi,bj) = f1(CLdxC(I_obc+2,J,bi,bj)/deltaT
183			& )+f2*CVEL_TW(J,K,bi,bj)
184	adcroft	1.5	ENDIF
185	adcroft	1.2	C update OBC to next timestep
186			OBWt(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)+
187	adcroft	1.7	& CVEL_TW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
188	adcroft	1.2	& (ab1*(theta(I_obc+1,J,K,bi,bj)-theta(I_obc,J,K,bi,bj))+
189			& ab2*(TW_STORE_1(J,K,bi,bj)-TW_STORE_4(J,K,bi,bj)))
190			C Salinity
191			IF ((SW_STORE_2(J,K,bi,bj).eq.0.).and.
192			& (SW_STORE_3(J,K,bi,bj).eq.0.)) THEN
193			CL=0.
194			ELSE
195			CL=(salt(I_obc+1,J,K,bi,bj)-SW_STORE_1(J,K,bi,bj))/
196			& (ab1SW_STORE_2(J,K,bi,bj) + ab2SW_STORE_3(J,K,bi,bj))
197			ENDIF
198			IF (CL.lt.0.) THEN
199			CL=0.
200			ELSEIF (CL.gt.CMAX) THEN
201			CL=CMAX
202			ENDIF
203	adcroft	1.5	IF (useFixedCWest) THEN
204	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
205			C saved data...)
206	adcroft	1.5	CVEL_SW(J,K,bi,bj) = CFIX
207			ELSE
208	adcroft	1.6	CVEL_SW(J,K,bi,bj) = f1(CLdxC(I_obc+2,J,bi,bj)/deltaT
209			& )+f2*CVEL_SW(J,K,bi,bj)
210	adcroft	1.5	ENDIF
211	adcroft	1.2	C update OBC to next timestep
212			OBWs(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)+
213	adcroft	1.7	& CVEL_SW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
214	adcroft	1.2	& (ab1*(salt(I_obc+1,J,K,bi,bj)-salt(I_obc,J,K,bi,bj))+
215			& ab2*(SW_STORE_1(J,K,bi,bj)-SW_STORE_4(J,K,bi,bj)))
216	jmc	1.10	#ifdef ALLOW_NONHYDROSTATIC
217			IF ( nonHydrostatic ) THEN
218	adcroft	1.2	C wVel
219	jmc	1.10	IF ((WW_STORE_2(J,K,bi,bj).eq.0.).and.
220			& (WW_STORE_3(J,K,bi,bj).eq.0.)) THEN
221			CL=0.
222			ELSE
223			CL=(wVel(I_obc+1,J,K,bi,bj)-WW_STORE_1(J,K,bi,bj))/
224			& (ab1WW_STORE_2(J,K,bi,bj)+ab2WW_STORE_3(J,K,bi,bj))
225			ENDIF
226			IF (CL.lt.0.) THEN
227			CL=0.
228			ELSEIF (CL.gt.CMAX) THEN
229			CL=CMAX
230			ENDIF
231	adcroft	1.5	IF (useFixedCWest) THEN
232	jmc	1.10	C Fixed phase speed (ignoring all of that painstakingly
233			C saved data...)
234	adcroft	1.5	CVEL_WW(J,K,bi,bj) = CFIX
235			ELSE
236			CVEL_WW(J,K,bi,bj)=f1(CLdxC(I_obc+2,J,bi,bj)/deltaT)
237	adcroft	1.2	& + f2*CVEL_WW(J,K,bi,bj)
238	adcroft	1.5	ENDIF
239	jmc	1.10	C update OBC to next timestep
240			OBWw(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)+
241	adcroft	1.7	& CVEL_WW(J,K,bi,bj)(deltaTrecip_dxC(I_obc+1,J,bi,bj))*
242	adcroft	1.2	& (ab1*(wVel(I_obc+1,J,K,bi,bj)-wVel(I_obc,J,K,bi,bj))+
243			& ab2*(WW_STORE_1(J,K,bi,bj)-WW_STORE_4(J,K,bi,bj)))
244	jmc	1.10	ENDIF
245			#endif /* ALLOW_NONHYDROSTATIC */
246	adcroft	1.2	C update/save storage arrays
247			C uVel
248			C copy t-1 to t-2 array
249			UW_STORE_3(J,K,bi,bj)=UW_STORE_2(J,K,bi,bj)
250			C copy (current time) t to t-1 arrays
251			UW_STORE_2(J,K,bi,bj)=uVel(I_obc+3,J,K,bi,bj) -
252			& uVel(I_obc+2,J,K,bi,bj)
253			UW_STORE_1(J,K,bi,bj)=uVel(I_obc+2,J,K,bi,bj)
254			UW_STORE_4(J,K,bi,bj)=uVel(I_obc+1,J,K,bi,bj)
255			C vVel
256			C copy t-1 to t-2 array
257			VW_STORE_3(J,K,bi,bj)=VW_STORE_2(J,K,bi,bj)
258			C copy (current time) t to t-1 arrays
259			VW_STORE_2(J,K,bi,bj)=vVel(I_obc+2,J,K,bi,bj) -
260			& vVel(I_obc+1,J,K,bi,bj)
261			VW_STORE_1(J,K,bi,bj)=vVel(I_obc+1,J,K,bi,bj)
262			VW_STORE_4(J,K,bi,bj)=vVel(I_obc,J,K,bi,bj)
263			C Temperature
264			C copy t-1 to t-2 array
265			TW_STORE_3(J,K,bi,bj)=TW_STORE_2(J,K,bi,bj)
266			C copy (current time) t to t-1 arrays
267			TW_STORE_2(J,K,bi,bj)=theta(I_obc+2,J,K,bi,bj) -
268			& theta(I_obc+1,J,K,bi,bj)
269			TW_STORE_1(J,K,bi,bj)=theta(I_obc+1,J,K,bi,bj)
270			TW_STORE_4(J,K,bi,bj)=theta(I_obc,J,K,bi,bj)
271	adcroft	1.5	c Salinity
272			C copy t-1 to t-2 array
273	jmc	1.10	SW_STORE_3(J,K,bi,bj)=SW_STORE_2(J,K,bi,bj)
274	adcroft	1.5	C copy (current time) t to t-1 arrays
275			SW_STORE_2(J,K,bi,bj)=salt(I_obc+2,J,K,bi,bj) -
276			& salt(I_obc+1,J,K,bi,bj)
277			SW_STORE_1(J,K,bi,bj)=salt(I_obc+1,J,K,bi,bj)
278	jmc	1.10	SW_STORE_4(J,K,bi,bj)=salt(I_obc,J,K,bi,bj)
279			#ifdef ALLOW_NONHYDROSTATIC
280			IF ( nonHydrostatic ) THEN
281	adcroft	1.2	C wVel
282			C copy t-1 to t-2 array
283			WW_STORE_3(J,K,bi,bj)=WW_STORE_2(J,K,bi,bj)
284			C copy (current time) t to t-1 arrays
285			WW_STORE_2(J,K,bi,bj)=wVel(I_obc+2,J,K,bi,bj) -
286			& wVel(I_obc+1,J,K,bi,bj)
287			WW_STORE_1(J,K,bi,bj)=wVel(I_obc+1,J,K,bi,bj)
288			WW_STORE_4(J,K,bi,bj)=wVel(I_obc,J,K,bi,bj)
289	jmc	1.10	ENDIF
290			#endif /* ALLOW_NONHYDROSTATIC */
291	adcroft	1.2	ENDIF
292			ENDDO
293			ENDDO
294
295	heimbach	1.8	#endif
296	adcroft	1.2	#endif /* ALLOW_ORLANSKI */
297			RETURN
298			END