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boundaries.f90
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!*!----------------------------------------------------------------------
!* SUBROUTINE BC_SETUP (LO,BCI_INFO,WAVE_INFO,BC_TYPE)
!*!.....SET UP VERTICAL WALL BOUNDARY
!*!----------------------------------------------------------------------
!* USE LAYER_PARAMS
!* USE WAVE_PARAMS
!* USE BCI_PARAMS
!* TYPE (BCI) :: BCI_INFO
!* TYPE (LAYER) :: LO
!* TYPE (WAVE) :: WAVE_INFO
!* INTEGER BC_TYPE
!*
!* IF (BC_TYPE.EQ.0) CALL OPEN (LO)
!* IF (BC_TYPE.EQ.1) CALL SPONGE_LAYER (LO)
!* IF (BC_TYPE.EQ.2) CALL BC_WALL (LO,WAVE_INFO)
!*! IF (BC_TYPE.EQ.3) CALL BC_INPUT (LO,BCI_INFO,TIME)
!*
!* RETURN
!* END
!----------------------------------------------------------------------
SUBROUTINE OPEN (LO)
!.....DEPLOY OPEN BOUNDARY CONDITION (ONLY FOR OUTEST LAYER)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
LOGICAL IFIRST,JFIRST,IEND,JEND
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
DATA UB/99.0/
!
I_S = 1
J_S = 1
I_E = LO%NX
J_E = LO%NY
IFIRST = I_S .EQ. 1
JFIRST = J_S .EQ. 1
IEND = I_E .EQ. LO%NX
JEND = J_E .EQ. LO%NY
!
IF ( JFIRST ) THEN
J = 1
DO I=2,LO%NX-1
IF (LO%H(I,J) .GT. GX) THEN
CC = SQRT(GRAV*LO%H(I,J))
UH = 0.5*(LO%M(I,J,2)+LO%M(I-1,J,2))
UU = SQRT(UH**2+LO%N(I,J,2)**2)
ZZ = UU/CC
ARG = LO%N(I,J,2)
IF (ARG .GT. ZERO) THEN
ZZ = -ZZ
ENDIF
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(I,J,2) = ZZ
ELSE
LO%Z(I,J,2) = ZERO
ENDIF
! if ( i .EQ. 715 ) then
! WRITE(*,*) "Fortran--------------------->dbdb"
! WRITE(*,*) LO%H(I,1), LO%M(I,1,2), LO%N(I,1,2), 1/CC
! WRITE(*,*) LO%M(I-1,1,2), ZZ
! end if
END DO
ENDIF
!
IF ( JEND ) THEN
J = LO%NY
DO I=2,LO%NX-1
IF (LO%H(I,J) .GT. GX) THEN
CC = SQRT(GRAV*LO%H(I,J))
UH = 0.5*(LO%M(I,J,2)+LO%M(I-1,J,2))
UU = SQRT(UH**2+LO%N(I,J-1,2)**2)
ZZ = UU/CC
ARG = LO%N(I,J-1,2)
IF (ARG .LT. ZERO) THEN
ZZ = -ZZ
ENDIF
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(I,J,2) = ZZ
ELSE
LO%Z(I,J,2) = ZERO
ENDIF
END DO
ENDIF
!
IF ( IFIRST ) THEN
I = 1
DO J=2,LO%NY-1
IF (LO%H(I,J) .GT. GX) THEN
CC = SQRT(GRAV*LO%H(I,J))
IF (LO%H(I,J-1) .GT. GX) THEN
UH = 0.5*(LO%N(I,J,2)+LO%N(I,J-1,2))
ELSE
UH = LO%N(I,J,2)
ENDIF
UU = SQRT(UH**2+LO%M(I,J,2)**2)
ZZ = UU/CC
ARG = LO%M(I,J,2)
IF (ARG .GT. ZERO) THEN
ZZ = -ZZ
ENDIF
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(I,J,2) = ZZ
ELSE
LO%Z(I,J,2) = ZERO
ENDIF
END DO
ENDIF
!
IF ( IEND ) THEN
I = LO%NX
DO J=2,LO%NY-1
IF (LO%H(I,J) .GT. GX) THEN
CC = SQRT(GRAV*LO%H(I,J))
UH = 0.5*(LO%N(I,J,2)+LO%N(I,J-1,2))
UU = SQRT(UH**2+LO%M(I-1,J,2)**2)
ZZ = UU/CC
ARG = LO%M(I-1,J,2)
IF (ARG .LT. ZERO) THEN
ZZ = -ZZ
ENDIF
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(I,J,2) = ZZ
ELSE
LO%Z(I,J,2) = ZERO
ENDIF
END DO
ENDIF
!
IF ( IFIRST .AND. JFIRST ) THEN
IF (LO%H(1,1) .GT. GX) THEN
QX = LO%M(1,1,2)
QY = LO%N(1,1,2)
CC = SQRT(GRAV*LO%H(1,1))
UH = SQRT(QX**2+QY**2)
ZZ = UH/CC
IF (QX .GT. ZERO .OR. QY.GT.ZERO) ZZ = -ZZ
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(1,1,2) = ZZ
ELSE
LO%Z(1,1,2) = ZERO
ENDIF
ENDIF
!
IF ( IEND .AND. JFIRST ) THEN
IF (LO%H(LO%NX,1) .GT. GX) THEN
QX = LO%M(LO%NX-1,1,2)
QY = LO%N(LO%NX,1,2)
CC = SQRT(GRAV*LO%H(LO%NX,1))
UH = SQRT(QX**2+QY**2)
ZZ = UH/CC
IF (QX .LT. ZERO .OR. QY.GT.ZERO) ZZ = -ZZ
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ=0.0
LO%Z(LO%NX,1,2) = ZZ
ELSE
LO%Z(LO%NX,1,2) = ZERO
ENDIF
ENDIF
!
IF ( IFIRST .AND. JEND ) THEN
IF (LO%H(1,LO%NY) .GT. GX) THEN
QX = LO%M(1,LO%NY,2)
QY = LO%N(1,LO%NY-1,2)
CC = SQRT(GRAV*LO%H(1,LO%NY))
UH = SQRT(QX**2+QY**2)
ZZ = UH/CC
IF (QX .GT. ZERO .OR. QY.LT.ZERO) ZZ = -ZZ
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
IF (ABS(ZZ) .GT. UB) ZZ = 0.0
LO%Z(1,LO%NY,2) = ZZ
ELSE
LO%Z(1,LO%NY,2) = ZERO
ENDIF
ENDIF
!
IF ( IEND .AND. JEND ) THEN
IF (LO%H(LO%NX,LO%NY) .GT. GX) THEN
QX = LO%M(LO%NX-1,LO%NY,2)
QY = LO%N(LO%NX,LO%NY-1,2)
CC = SQRT(GRAV*LO%H(LO%NX,LO%NY))
UH = SQRT(QX**2+QY**2)
ZZ = UH/CC
IF (QX.LT.ZERO .OR. QY.LT.ZERO) ZZ = -ZZ
! IF (ABS(ZZ) .LE. EPS) ZZ = 0.0
LO%Z(LO%NX,LO%NY,2) = ZZ
! LO%Z(LO%NX,LO%NY,2)=0.5*(LO%Z(LO%NX-1,LO%NY,2) &
! + LO%Z(LO%NX,LO%NY-1,2))
IF (ABS(LO%Z(LO%NX,LO%NY,2)) .GT. UB) &
LO%Z(LO%NX,LO%NY,2)=0.0
ELSE
LO%Z(LO%NX,LO%NY,2) = ZERO
ENDIF
ENDIF
!
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE SPONGE_LAYER (LO)
!DESCRIPTION:
! #. DETERMINE COEFFICIENT ALPHA SO AS TO IMPROVE NUMERICAL DISPERSION
! REF: WEI AND KIRBY (1995) AND KIRBY ET AL (1998);
! #, USED TOGETHER WITH RADIATION/OPEN BOUNDARY CONDITION;
!NOTES:
! #. CREATED ON ??? ?? 2007 (XIAOMING WANG, CORNELL UNIVERSITY)
! #. UPDATED ON FEB 25 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
DO I = 1,LO%NX
IP1 = I+1
IM1 = I-1
IF (IP1.GE.LO%NX) IP1 = LO%NX
IF (IM1.LE.1) IM1 = 1
DO J = 1,LO%NY
JP1 = J+1
JM1 = J-1
IF (JP1.GE.LO%NY) JP1 = LO%NY
IF (JM1.LE.1) JM1 = 1
IF ( LO%SPONGE_COEFX(I,J).GT.ZERO .OR. &
LO%SPONGE_COEFY(I,J).GT.ZERO ) THEN
CX = LO%SPONGE_COEFX(I,J)
CY = LO%SPONGE_COEFY(I,J)
! CXY = SQRT(CX**2+CY**2)
!* LO%M(I,J,2) = LO%M(I,J,2) + CX*LO%DT &
!* *0.5*(LO%M(I,J,1)+LO%M(I,J,2))
!* LO%N(I,J,2) = LO%N(I,J,2) + CY*LO%DT &
!* *0.5*(LO%N(I,J,1)+LO%N(I,J,2))
LO%M(I,J,2) = LO%M(I,J,2) + CX*LO%DT*LO%M(I,J,1)
LO%N(I,J,2) = LO%N(I,J,2) + CY*LO%DT*LO%N(I,J,1)
ENDIF
ENDDO
ENDDO
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE SPONGE_COEF (LO)
!DESCRIPTION:
! DETERMINE COEFFICIENT ALPHA SO AS TO IMPROVE NUMERICAL DISPERSION
!.....REF: WEI AND KIRBY (1995) AND KIRBY ET AL (1998)
!NOTES:
! #. CREATED ON ??? ?? 2007 (XIAOMING WANG, CORNELL UNIVERSITY)
! #. UPDATED ON FEB 25 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
! USE WAVE_PARAMS
! USE FAULT_PARAMS
TYPE (LAYER) :: LO
! TYPE (WAVE) :: WAVE_INFO
! TYPE (FAULT) :: FAULT_INFO
REAL DX, DY, DT, G, R_MAX, RX, RY, X_REL, R, WIDTH,H_MEAN
REAL COEFX(LO%NX,LO%NY),COEFY(LO%NX,LO%NY)
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
DX = LO%DX
DY = LO%DY
DT = LO%DT
!WIDTH OF SPONGE LAYER IS 1.5 TIMES THE CHARACTERISTIC WAVE LENGTH
!TYPICAL WATER LENGTH, USED TO DETERMINE CHARACTERSTIC WAVE NUMBER
CALL H_CALC(LO,H_MEAN,H_MAX)
DEPTH = H_MEAN
IF (DEPTH.LE.GX) DEPTH = GX
!DETERMINE CHARACTERISTIC WAVE LENGTH
WAVELENGTH = 20.0*DEPTH
WIDTH = 2.0*WAVELENGTH
!PARAMETERS USED BY KIRBY ET AL (1998)
ALPHA_C = 10.0;
ALPHA_MU = ZERO;
M = 2.0;
T = WAVELENGTH/SQRT(GRAV*DEPTH)
OMEGA = 2.0*PI/T
!.....IF LAYER01 ADOPTS SPHERICAL COORD,
! CONVERT WIDTH (IN METERS) TO ARC MINUTES
IF (LO%LAYCORD .EQ. 0) THEN
SPONGE_WIDTH = WIDTH/R_EARTH*180.0/PI
ELSE
SPONGE_WIDTH = WIDTH
ENDIF
R_MAX = WIDTH !MAXIMUM DISTANCE FOR DAMPING
XS = LO%X(1) + SPONGE_WIDTH
YS = LO%Y(1) + SPONGE_WIDTH
XE = LO%X(LO%NX) - SPONGE_WIDTH
YE = LO%Y(LO%NY) - SPONGE_WIDTH
COEFX = ZERO
COEFY = ZERO
DO I = 1,LO%NX
DO J = 1,LO%NY
X0 = LO%X(I)
Y0 = LO%Y(J)
IF (X0 .LE. XS) THEN
RX = -(X0 - XS)
ELSEIF (X0 .GE. XE) THEN
RX = X0 - XE
ELSE
RX = ZERO
ENDIF
IF (Y0 .LE. YS) THEN
RY = -(Y0 - YS)
ELSEIF (Y0 .GE. YE) THEN
RY = Y0 - YE
ELSE
RY = ZERO
ENDIF
R = SQRT(RX**2+RY**2)
X_REL = RX
Y_REL = RY
IF (X_REL .LE. ZERO) X_REL = ZERO
IF (Y_REL .LE. ZERO) Y_REL = ZERO
IF (X_REL .GE. R_MAX) X_REL = R_MAX
IF (Y_REL .GE. R_MAX) Y_REL = R_MAX
COEFX(I,J) = ALPHA_C*OMEGA*(EXP((X_REL/R_MAX)**M)-1.0) &
/(EXP(1.0)-1.0)
COEFY(I,J) = ALPHA_C*OMEGA*(EXP((Y_REL/R_MAX)**M)-1.0) &
/(EXP(1.0)-1.0)
IF (COEFX(I,J).LE.EPS) COEFX(I,J) = 0.0
IF (COEFY(I,J).LE.EPS) COEFY(I,J) = 0.0
ENDDO
ENDDO
LO%SPONGE_COEFX = COEFX
LO%SPONGE_COEFY = COEFY
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE H_CALC (LO,H_MEAN,H_MAX)
!DESCRIPTION:
! DETERMINE COEFFICIENT ALPHA SO AS TO IMPROVE NUMERICAL DISPERSION
!.....REF: WEI AND KIRBY (1995) AND KIRBY ET AL (1998)
!NOTES:
! #. CREATED ON ??? ?? 2007 (XIAOMING WANG, CORNELL UNIVERSITY)
! #. UPDATED ON FEB 25 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
REAL DX, DY, DT, G, R_MAX, RX, RY, X_REL, R, WIDTH
REAL H_MEAN,H_SUM
INTEGER K
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
K = 0
H_MEAN = ZERO
H_SUM = ZERO
H_MAX = ZERO
DO I = 1,LO%NX
DO J = 1,LO%NY
IF (LO%H(I,J) .GT. GX) THEN
H_SUM = H_SUM + LO%H(I,J)
IF (H_MAX.LT.LO%H(I,J)) H_MAX = LO%H(I,J)
K = K+1
ENDIF
ENDDO
ENDDO
IF (K.GT.0) H_MEAN = H_SUM/K
! WRITE(*,*) H_MEAN
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE BC_WALL (LO,WAVE_INFO)
!.....SET UP VERTICAL WALL BOUNDARY
!Incident direction( 1:top,2:bt,3:lf,4:rt,5:ob )
!----------------------------------------------------------------------
USE LAYER_PARAMS
USE WAVE_PARAMS
TYPE (LAYER) :: LO
TYPE (WAVE) :: WAVE_INFO
IF (LO%INI_SWITCH.EQ.2 ) THEN
IF (WAVE_INFO%INCIDENT.EQ.1) THEN
LO%H(1:2,:) = -999.0
LO%H(:,1:2) = -999.0
LO%H(LO%NX-1:LO%NX,:) = -999.0
!* LO%H(:,LO%NY-1:LO%NY) = -999.0
ENDIF
IF (WAVE_INFO%INCIDENT.EQ.2) THEN
LO%H(1:2,:) = -999.0
!* LO%H(:,1:2) = -999.0
LO%H(LO%NX-1:LO%NX,:) = -999.0
LO%H(:,LO%NY-1:LO%NY) = -999.0
ENDIF
IF (WAVE_INFO%INCIDENT.EQ.3) THEN
!* LO%H(1:2,:) = -999.0
LO%H(:,1:2) = -999.0
LO%H(LO%NX-1:LO%NX,:) = -999.0
LO%H(:,LO%NY-1:LO%NY) = -999.0
ENDIF
IF (WAVE_INFO%INCIDENT.EQ.4) THEN
LO%H(1:2,:) = -999.0
LO%H(:,1:2) = -999.0
!* LO%H(LO%NX-1:LO%NX,:) = -999.0
LO%H(:,LO%NY-1:LO%NY) = -999.0
ENDIF
ELSE
LO%H(1:2,:) = -999.0
LO%H(:,1:2) = -999.0
LO%H(LO%NX-1:LO%NX,:) = -999.0
LO%H(:,LO%NY-1:LO%NY) = -999.0
ENDIF
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE READ_FACTS (BCI_INFO,LO,SWITCH)
!.....READ FACTS INPUT FILES AS INPUT BOUNDARY CONDITIONS
! SWITCH:
! 0-SURFACE ELEVATION DATA, ####H.ASC
! 1-HORIZONTAL VELOCITY DATA, ####U.ASC
! 2-VERTICAL VELOCITY DATA, ####V.ASC
!.....CREATED ON NOV 11 2008 (XIAOMING WANG, GNS)
! LAST REVISE: NOV.27, 2008 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
USE BCI_PARAMS
TYPE (LAYER) :: LO
TYPE (BCI) :: BCI_INFO
INTEGER NX,NY,NT
INTEGER BC_TYPE,POS,SWITCH,STAT
REAL H(LO%NX,LO%NY)
REAL,ALLOCATABLE :: SNAPSHOT(:,:,:)
CHARACTER(LEN=120) INE,LINE1,LINE2,LINE3
CHARACTER(LEN=120) DUMP,TMP,FNAME
CHARACTER(LEN=18) TEXT
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
! WRITE(*,*) BCI_INFO%FNAMEH
! WRITE(*,*) BCI_INFO%FNAMEU
! WRITE(*,*) BCI_INFO%FNAMEV
FNAME = ''
IF (SWITCH.EQ.0) FNAME = BCI_INFO%FNAMEH
IF (SWITCH.EQ.1) FNAME = BCI_INFO%FNAMEU
IF (SWITCH.EQ.2) FNAME = BCI_INFO%FNAMEV
WRITE (*,*) FNAME
!
!...../////// READ H,U,V DATA FROM FACTS OUTPUT ////////////
OPEN(UNIT=1,FILE=FNAME,STATUS='OLD',IOSTAT=STAT,FORM='FORMATTED')
IF (STAT /=0) THEN
PRINT *,"ERROR:: CAN'T OPEN FACTS DATA",FNAME,"; EXITING."
STOP
END IF
POS = 0
DO WHILE (POS.LE.0)
READ (1,*) DUMP
! WRITE (*,*) DUMP
POS = INDEX(DUMP,'GEOMETRY')
DUMP = ''
! PAUSE
ENDDO
READ (1,*) TEXT,NX,NY,NT
WRITE(*,*) NX,NY,NT
ALLOCATE(SNAPSHOT(NX,NY,NT))
SNAPSHOT = ZERO
IF (SWITCH.EQ.0) THEN
ALLOCATE(BCI_INFO%X(NX))
ALLOCATE(BCI_INFO%Y(NY))
ALLOCATE(BCI_INFO%T(NT))
ALLOCATE(BCI_INFO%SNAPSHOT(NX,NY,NT))
ALLOCATE(BCI_INFO%SNAPSHOTU(NX,NY,NT))
ALLOCATE(BCI_INFO%SNAPSHOTV(NX,NY,NT))
ALLOCATE(BCI_INFO%Z_VERT(LO%NY,NT,2))
ALLOCATE(BCI_INFO%U_VERT(LO%NY,NT,2))
ALLOCATE(BCI_INFO%V_VERT(LO%NY,NT,2))
ALLOCATE(BCI_INFO%Z_HORI(LO%NX,NT,2))
ALLOCATE(BCI_INFO%U_HORI(LO%NX,NT,2))
ALLOCATE(BCI_INFO%V_HORI(LO%NX,NT,2))
END IF
READ (1,*) DUMP
READ (1,*) DUMP
READ (1,*) DUMP
READ (1,*) (BCI_INFO%X(I),I=1,NX)
READ (1,*) DUMP
READ (1,*) (BCI_INFO%Y(I),I=1,NY)
READ (1,*) DUMP
READ (1,*) (BCI_INFO%T(I),I=1,NT)
READ (1,*) DUMP
DO K = 1,NT
DO J = 1,NY
READ (1,*) (SNAPSHOT(I,J,K),I=1,NX)
ENDDO
ENDDO
CLOSE(1)
IF (SWITCH.EQ.0) THEN
BCI_INFO%NX = NX
BCI_INFO%NY = NY
BCI_INFO%NT = NT
BCI_INFO%DURATION = BCI_INFO%T(NT)-BCI_INFO%T(1)
!* BCI_INFO%T(:) = BCI_INFO%T(:)-BCI_INFO%T(1)
ENDIF
!.....CONVERT UNITS FROM CM OR CM/S TO M OR M/S
IF (SWITCH.EQ.0) BCI_INFO%SNAPSHOT = SNAPSHOT/100.0
IF (SWITCH.EQ.1) BCI_INFO%SNAPSHOTU = SNAPSHOT/100.0
IF (SWITCH.EQ.2) BCI_INFO%SNAPSHOTV = SNAPSHOT/100.0
! WRITE(*,*) NX,NY,NT
DEALLOCATE(SNAPSHOT,STAT = ISTAT)
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE BC_INPUT (BI,LO,TIME)
!......................................................................
!DESCRIPTION:
! #. MAP THE BOUNDARY CONDITION FROM FACTS TO COMPUTATIONAL GRIDS;
!NOTES:
! #. CREATED ON NOV 11 2008 (XIAOMING WANG, GNS)
! #. LAST REVISE: NOV.24, 2008 (XIAOMING WANG, GNS)
! #. UPDATED ON MAR 10 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
USE BCI_PARAMS
TYPE (LAYER) :: LO
TYPE (BCI) :: BI
REAL T(BI%NT),TMPX(LO%NX),TMPY(LO%NY)
REAL TIME,C1,C2
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
T(:) = BI%T(:)
!.....OBTAIN SURFACE ELEVATION AT T = TIME FROM FACTS DATA
KT = 1
DO K = 1,BI%NT-1
IF (TIME-0.5*LO%DT.GE.BI%T(K) .AND. &
TIME-0.5*LO%DT.LT.BI%T(K+1)) KT = K
ENDDO
C1 = (TIME-0.5*LO%DT-BI%T(KT))/(BI%T(KT+1)-BI%T(KT))
C2 = 1.0 - C1
DO I = 1,LO%NX
LO%Z(I,1,2) = C1*BI%Z_HORI(I,KT+1,1) + C2*BI%Z_HORI(I,KT,1)
LO%Z(I,LO%NY,2) = C1*BI%Z_HORI(I,KT+1,2) + C2*BI%Z_HORI(I,KT,2)
! DZDT = (BI%Z_HORI(I,KT+1,1)-BI%Z_HORI(I,KT,1))/(T(KT+1)-T(KT))
! LO%Z(I,1,2) = LO%Z(I,1,2) + LO%DT*DZDT
! DZDT = (BI%Z_HORI(I,KT+1,2)-BI%Z_HORI(I,KT,2))/(T(KT+1)-T(KT))
! LO%Z(I,LO%NY,2) = LO%Z(I,LO%NY,2) + LO%DT*DZDT
ENDDO
DO J = 1,LO%NY
LO%Z(1,J,2) = C1*BI%Z_VERT(J,KT+1,1) + C2*BI%Z_VERT(J,KT,1)
LO%Z(LO%NX,J,2) = C1*BI%Z_VERT(J,KT+1,2) + C2*BI%Z_VERT(J,KT,2)
! DZDT = (BI%Z_VERT(J,KT+1,1)-BI%Z_VERT(J,KT,1))/(T(KT+1)-T(KT))
! LO%Z(1,J,2) = LO%Z(1,J,2) + LO%DT*DZDT
! DZDT = (BI%Z_VERT(J,KT+1,2)-BI%Z_VERT(J,KT,2))/(T(KT+1)-T(KT))
! LO%Z(LO%NX,J,2) = LO%Z(LO%NX,J,2) + LO%DT*DZDT
ENDDO
!.....OBTAIN VOLUME FLUX AT T = TIME
KT = 1
DO K = 1,BI%NT-1
IF (TIME.GE.BI%T(K) .AND. TIME.LT.BI%T(K+1)) KT = K
ENDDO
C1 = (TIME-BI%T(KT))/(BI%T(KT+1)-BI%T(KT))
C2 = 1.0 - C1
DO I = 1,LO%NX
LO%M(I,1,2) = C1*BI%U_HORI(I,KT+1,1) + C2*BI%U_HORI(I,KT,1)
LO%M(I,LO%NY,2) = C1*BI%U_HORI(I,KT+1,2) + C2*BI%U_HORI(I,KT,2)
! DPDT = (BI%U_HORI(I,KT+1,1)-BI%U_HORI(I,KT,1))/(T(KT+1)-T(KT))
! LO%M(I,1,1) = LO%M(I,1,1) + LO%DT*DPDT
! DPDT = (BI%U_HORI(I,KT+1,2)-BI%U_HORI(I,KT,2))/(T(KT+1)-T(KT))
! LO%M(I,LO%NY,1) = LO%M(I,LO%NY,1) + LO%DT*DPDT
ENDDO
DO J = 1,LO%NY
LO%M(1,J,2) = C1*BI%U_VERT(J,KT+1,1) + C2*BI%U_VERT(J,KT,1)
LO%M(LO%NX-1,J,2) = C1*BI%U_VERT(J,KT+1,2) + C2*BI%U_VERT(J,KT,2)
! DPDT = (BI%U_VERT(J,KT+1,1)-BI%U_VERT(J,KT,1))/(T(KT+1)-T(KT))
! LO%M(1,J,1) = LO%M(1,J,1) + LO%DT*DPDT
! DPDT = (BI%U_VERT(J,KT+1,2)-BI%U_VERT(J,KT,2))/(T(KT+1)-T(KT))
! LO%M(LO%NX-1,J,1) = LO%M(LO%NX-1,J,1) + LO%DT*DPDT
ENDDO
DO I = 1,LO%NX
LO%N(I,1,2) = C1*BI%V_HORI(I,KT+1,1) + C2*BI%V_HORI(I,KT,1)
LO%N(I,LO%NY-1,2) = C1*BI%V_HORI(I,KT+1,2) + C2*BI%V_HORI(I,KT,2)
! DQDT = (BI%V_HORI(I,KT+1,1)-BI%V_HORI(I,KT,1))/(T(KT+1)-T(KT))
! LO%N(I,1,1) = LO%N(I,1,1) + LO%DT*DQDT
! DQDT = (BI%V_HORI(I,KT+1,2)-BI%V_HORI(I,KT,2))/(T(KT+1)-T(KT))
! LO%N(I,LO%NY-1,1) = LO%N(I,LO%NY-1,1) + LO%DT*DQDT
ENDDO
DO J = 1,LO%NY
LO%N(1,J,2) = C1*BI%V_VERT(J,KT+1,1) + C2*BI%V_VERT(J,KT,1)
LO%N(LO%NX,J,2) = C1*BI%V_VERT(J,KT+1,2) + C2*BI%V_VERT(J,KT,2)
! DQDT = (BI%V_VERT(J,KT+1,1)-BI%V_VERT(J,KT,1))/(T(KT+1)-T(KT))
! LO%N(1,J,1) = LO%N(1,J,1) + LO%DT*DQDT
! DQDT = (BI%V_VERT(J,KT+1,2)-BI%V_VERT(J,KT,2))/(T(KT+1)-T(KT))
! LO%N(LO%NX,J,1) = LO%N(LO%NX,J,1) + LO%DT*DQDT
ENDDO
RETURN
END