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all_grids.f90
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!----------------------------------------------------------------------
SUBROUTINE ALL_GRID (LO,LA)
!DESCRIPTION:
! #. SOLVE CONTINUITY AND MOMENTUM EQUATIONS FOR ALL SUB-LEVEL GRID
! LAYERS;
!INPUT:
! #. WATER SURFACE DISPLACEMENT AND VOLUME FLUXES OF LO;
!OUTPUT:
! #. WATER SURFACE DISPLACEMENT AND VOLUME FLUXES OF LA;
!NOTES:
! #. NEWQ_S,NEWQ_C COMBINED INTO NEWQ (JUL 2003, XIAOMING WANG)
! #. UPDATED ON SEP 17 2006 (XIAOMING WANG)
! #. LEVEL2%DT = LEVEL1%DT/LEVEL2%REL_SIZE
! #. UPDATED NOV.21 2008 (XIAOMING WANG, GNS)
! 1. UP TO 12 LEVELS OF SUB GRID LAYERS IMPLEMENTED
! #. UPDATED DEC 22 2008 (XIAOMING WANG, GNS)
! 1. TIME STEP SIZE RATIO IS NO LONGER FIXED AS 2
! BUT DETERMINED FROM WATER DEPTH OF EACH GRID LAYER;
! 2. TIME STEP SIZE RATIO OF LO TO LA COULD BE ANY INTEGER;
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
TYPE (LAYER),DIMENSION(NUM_GRID) :: LA
INTEGER K1,K2,K3,K4,K5,K6,K7,K8,K9,K10,K11,K12
INTEGER L1,L2,L3,L4,L5,L6,L7,L8,L9,L10,L11,L12
INTEGER NHALF
! LOGICAL UPZ(NUM_GRID)
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
!<<...START OF LEVEL 2
DO L2=1,NUM_GRID
IF (LA(L2)%LAYSWITCH.EQ.0 .AND. LA(L2)%PARENT.EQ.LO%ID) THEN
DO K2 = 1,LA(L2)%REL_TIME
IF (K2 .EQ. 1) THEN
CALL JNQ (LO,LA(L2))
ELSE
CALL NEWQ (LO,LA(L2),K2)
ENDIF
IF (LA(L2)%SEDI_SWITCH.EQ.0 .AND. &
LA(L2)%LAYCORD.NE.0) CALL SED_TRANSPORT (LA(L2))
CALL MASS (LA(L2))
!<<............START OF LEVEL 3
DO L3=1,NUM_GRID
IF (LA(L3)%LAYSWITCH.EQ.0 .AND. &
LA(L3)%PARENT.EQ.LA(L2)%ID) THEN
DO K3 = 1,LA(L3)%REL_TIME
IF (K3 .EQ. 1) THEN
CALL JNQ (LA(L2),LA(L3))
ELSE
CALL NEWQ (LA(L2),LA(L3),K3)
ENDIF
IF (LA(L3)%SEDI_SWITCH.EQ.0 .AND. &
LA(L3)%LAYCORD.NE.0) CALL SED_TRANSPORT (LA(L3))
CALL MASS (LA(L3))
!<<............START OF LEVEL 4
DO L4=1,NUM_GRID
IF (LA(L4)%LAYSWITCH.EQ.0 .AND. &
LA(L4)%PARENT.EQ.LA(L3)%ID) THEN
DO K4 = 1,LA(L4)%REL_TIME
IF (K4 .EQ. 1) THEN
CALL JNQ (LA(L3),LA(L4))
ELSE
CALL NEWQ (LA(L3),LA(L4),K4)
ENDIF
IF (LA(L4)%SEDI_SWITCH.EQ.0 .AND. &
LA(L4)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L4))
CALL MASS (LA(L4))
!<<........... START OF LEVEL 5
DO L5=1,NUM_GRID
IF (LA(L5)%LAYSWITCH.EQ.0 .AND. &
LA(L5)%PARENT.EQ.LA(L4)%ID) THEN
DO K5 = 1,LA(L5)%REL_TIME
IF (K5 .EQ. 1) THEN
CALL JNQ (LA(L4),LA(L5))
ELSE
CALL NEWQ (LA(L4),LA(L5),K5)
ENDIF
IF (LA(L5)%SEDI_SWITCH.EQ.0 .AND. &
LA(L5)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L5))
CALL MASS (LA(L5))
!<<............START OF LEVEL 6
DO L6=1,NUM_GRID
IF (LA(L6)%LAYSWITCH.EQ.0 .AND. &
LA(L6)%PARENT.EQ.LA(L5)%ID) THEN
DO K6 = 1,LA(L6)%REL_TIME
IF (K6 .EQ. 1) THEN
CALL JNQ (LA(L5),LA(L6))
ELSE
CALL NEWQ (LA(L5),LA(L6),K6)
ENDIF
IF (LA(L6)%SEDI_SWITCH.EQ.0 .AND. &
LA(L6)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L6))
CALL MASS (LA(L6))
!<<........... START OF LEVEL 7
DO L7=1,NUM_GRID
IF (LA(L7)%LAYSWITCH.EQ.0 .AND. &
LA(L7)%PARENT.EQ.LA(L6)%ID) THEN
DO K7 = 1,LA(L7)%REL_TIME
IF (K7 .EQ. 1) THEN
CALL JNQ (LA(L6),LA(L7))
ELSE
CALL NEWQ (LA(L6),LA(L7),K7)
ENDIF
IF (LA(L7)%SEDI_SWITCH.EQ.0 .AND. &
LA(L7)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L7))
CALL MASS (LA(L7))
!<<........... START OF LEVEL 8
DO L8=1,NUM_GRID
IF (LA(L8)%LAYSWITCH.EQ.0 .AND. &
LA(L8)%PARENT.EQ.LA(L7)%ID) THEN
DO K8 = 1,LA(L8)%REL_TIME
IF (K8 .EQ. 1) THEN
CALL JNQ (LA(L7),LA(L8))
ELSE
CALL NEWQ (LA(L7),LA(L8),K8)
ENDIF
IF (LA(L8)%SEDI_SWITCH.EQ.0 .AND. &
LA(L8)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L8))
CALL MASS (LA(L8))
!<<............START OF LEVEL 9
DO L9=1,NUM_GRID
IF (LA(L9)%LAYSWITCH.EQ.0 .AND. &
LA(L9)%PARENT.EQ.LA(L8)%ID) THEN
DO K9 = 1,LA(L9)%REL_TIME
IF (K9 .EQ. 1) THEN
CALL JNQ (LA(L8),LA(L9))
ELSE
CALL NEWQ (LA(L8),LA(L9),K9)
ENDIF
IF (LA(L9)%SEDI_SWITCH.EQ.0 .AND. &
LA(L9)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L9))
CALL MASS (LA(L9))
!<<............START OF LEVEL 10
DO L10=1,NUM_GRID
IF (LA(L10)%LAYSWITCH.EQ.0 .AND. &
LA(L10)%PARENT.EQ.LA(L9)%ID) THEN
DO K10 = 1,LA(L10)%REL_TIME
IF (K10 .EQ. 1) THEN
CALL JNQ (LA(L9),LA(L10))
ELSE
CALL NEWQ (LA(L9),LA(L10),K10)
ENDIF
IF (LA(L10)%SEDI_SWITCH.EQ.0 .AND. &
LA(L10)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L10))
CALL MASS (LA(L10))
!<<............START OF LEVEL 11
DO L11=1,NUM_GRID
IF (LA(L11)%LAYSWITCH.EQ.0 .AND. &
LA(L11)%PARENT.EQ.LA(L10)%ID) THEN
DO K11 = 1,LA(L11)%REL_TIME
IF (K11 .EQ. 1) THEN
CALL JNQ (LA(L10),LA(L11))
ELSE
CALL NEWQ (LA(L10),LA(L11),K11)
ENDIF
IF (LA(L11)%SEDI_SWITCH.EQ.0 .AND. &
LA(L11)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L11))
CALL MASS (LA(L11))
!<<........... START OF LEVEL 12
DO L12=1,NUM_GRID
IF (LA(L12)%LAYSWITCH.EQ.0 .AND. &
LA(L12)%PARENT.EQ.LA(L11)%ID) THEN
DO K12 = 1,LA(L12)%REL_TIME
IF (K12 .EQ. 1) THEN
CALL JNQ (LA(L11),LA(L12))
ELSE
CALL NEWQ (LA(L11),LA(L12),K12)
ENDIF
IF (LA(L12)%SEDI_SWITCH.EQ.0 .AND. &
LA(L12)%LAYCORD.NE.0 ) CALL SED_TRANSPORT (LA(L12))
CALL MASS (LA(L12))
!<<........... INSERT MORE LEVELS HERE
!>>........... END OF INSERTING MORE LEVLES
CALL MOMENT (LA(L12))
NHALF = FLOOR(LA(L12)%REL_TIME/2.0)+1
IF (K12.EQ.NHALF) THEN
CALL JNZ (LA(L11),LA(L12))
ENDIF
CALL UPDATE (LA(L12))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 12
CALL MOMENT (LA(L11))
NHALF = FLOOR(LA(L11)%REL_TIME/2.0)+1
IF (K11.EQ.NHALF) THEN
CALL JNZ (LA(L10),LA(L11))
ENDIF
CALL UPDATE (LA(L11))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 11
CALL MOMENT (LA(L10))
NHALF = FLOOR(LA(L10)%REL_TIME/2.0)+1
IF (K10 .EQ. NHALF) THEN
CALL JNZ (LA(L9),LA(L10))
ENDIF
CALL UPDATE (LA(L10))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 10
CALL MOMENT (LA(L9))
NHALF = FLOOR(LA(L9)%REL_TIME/2.0)+1
IF (K9 .EQ. NHALF) THEN
CALL JNZ (LA(L8),LA(L9))
ENDIF
CALL UPDATE (LA(L9))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 9
CALL MOMENT (LA(L8))
NHALF = FLOOR(LA(L8)%REL_TIME/2.0)+1
IF (K8 .EQ. NHALF) THEN
CALL JNZ (LA(L7),LA(L8))
ENDIF
CALL UPDATE (LA(L8))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 8
CALL MOMENT (LA(L7))
NHALF = FLOOR(LA(L7)%REL_TIME/2.0)+1
IF (K7 .EQ. NHALF) THEN
CALL JNZ (LA(L6),LA(L7))
ENDIF
CALL UPDATE (LA(L7))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 7
CALL MOMENT (LA(L6))
NHALF = FLOOR(LA(L6)%REL_TIME/2.0)+1
IF (K6 .EQ. NHALF) THEN
CALL JNZ (LA(L5),LA(L6))
ENDIF
CALL UPDATE (LA(L6))
ENDDO
ENDIF
ENDDO
!>>........... END OF LEVEL 6
CALL MOMENT (LA(L5))
NHALF = FLOOR(LA(L5)%REL_TIME/2.0)+1
IF (K5 .EQ. NHALF) THEN
CALL JNZ (LA(L4),LA(L5))
ENDIF
CALL UPDATE (LA(L5))
ENDDO
ENDIF
ENDDO
!<<........... END OF LEVEL 5
CALL MOMENT (LA(L4))
NHALF = FLOOR(LA(L4)%REL_TIME/2.0)+1
IF (K4 .EQ. NHALF) THEN
CALL JNZ (LA(L3),LA(L4))
ENDIF
CALL UPDATE (LA(L4))
ENDDO
ENDIF
ENDDO
!<<........... END OF LEVEL 4
CALL MOMENT (LA(L3))
NHALF = FLOOR(LA(L3)%REL_TIME/2.0)+1
IF (K3 .EQ. NHALF) THEN
CALL JNZ (LA(L2),LA(L3))
ENDIF
CALL UPDATE (LA(L3))
ENDDO
ENDIF
ENDDO
!>>............END OF LEVEL 3
CALL MOMENT (LA(L2))
NHALF = FLOOR(LA(L2)%REL_TIME/2.0)+1
IF (K2 .EQ. NHALF) THEN
CALL JNZ (LO,LA(L2))
ENDIF
CALL UPDATE (LA(L2))
ENDDO
ENDIF
ENDDO
!>>...END OF LEVEL 2
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE UPDATE (LO)
!.....TRANSFER INFORMATION FROM LAST STEP TO NEXT STEP (INNER LAYER)
! UPDATED ON SEP 17 2006 BY XIAOMING WANG
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
LO%Z(1,:,2) = LO%Z(2,:,2)
LO%Z(:,1,2) = LO%Z(:,2,2)
IF (LO%LAYGOV .GE. 1) THEN
LO%DZ(1,:,2) = LO%DZ(2,:,2)
LO%DZ(:,1,2) = LO%DZ(:,2,2)
LO%DZ(:,:,1) = LO%DZ(:,:,2)
ENDIF
LO%Z(:,:,1) = LO%Z(:,:,2)
LO%M(:,:,1) = LO%M(:,:,2)
LO%N(:,:,1) = LO%N(:,:,2)
IF (LO%LAYGOV.GT.1) THEN
LO%M0(:,:) = LO%M(:,:,1)
LO%N0(:,:) = LO%N(:,:,1)
ENDIF
IF (LO%INI_SWITCH.EQ.3 .OR. LO%INI_SWITCH.EQ.4) THEN
LO%HT(:,:,1) = LO%HT(:,:,2)
LO%H(:,:) = LO%H(:,:) + LO%HT(:,:,2) - LO%HT(:,:,1)
ENDIF
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE JNZ (LO,LA)
!......................................................................
!DESCRIPTION:
! #. THIS SUBROUTINE IS USED TO UPDATE FREE SURFACE ELEVATION
! OF LO (LARGER GRIDS) WITH THAT OF LA (SMALLER GRIDS)
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!NOTE:
! #. REVISED SIGNIFICANTLY ON NOV 2004 (XIAOMING WANG,CORNELL)
! #. UPDATED ON JAN05 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON APR03 2009 (XIAOMING WANG, GNS)
! 1. IMPROVE COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER IS,IE,JS,JE,IR
REAL HALF, SUM, COUNT
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
IF (LA%SC_OPTION .EQ. 0) THEN
HALF = (LA%REL_SIZE*LA%REL_SIZE)/2.0
IR=LA%REL_SIZE
IS = LA%CORNERS(1)
IE = LA%CORNERS(2)
JS = LA%CORNERS(3)
JE = LA%CORNERS(4)
I_SHIFT = -IS*IR+1
J_SHIFT = -JS*IR+1
DO I = IS,IE
DO J = JS,JE
SUM = 0.0
COUNT = 0.0
I0 = I*IR+I_SHIFT
J0 = J*IR+J_SHIFT
DO KI = 1,LA%REL_SIZE
DO KJ = 1,LA%REL_SIZE
! II=(I-IS)*IR+1+KI
! JJ=(J-JS)*IR+1+KJ
II = I0 + KI
JJ = J0 + KJ
!* IF (LA%H(II,JJ) .GT. GX) THEN
IF (LA%H(II,JJ)+LA%Z(II,JJ,2) .GT. GX) THEN
IF (MOD(LA%REL_TIME,2) .EQ. 0) THEN
SUM = SUM+0.5*(LA%Z(II,JJ,1)+LA%Z(II,JJ,2))
ELSE
SUM = SUM+LA%Z(II,JJ,2)
ENDIF
!* SUM = SUM+LA%Z(IS,JS,2)
COUNT = COUNT + 1.0
ENDIF
ENDDO
ENDDO
IF (COUNT .GT. HALF) THEN
LO%Z(I,J,2) = SUM/COUNT
ELSE
LO%Z(I,J,2) = 0.0
ENDIF
ENDDO
ENDDO
ELSE
CALL JNZ_SC (LO,LA)
ENDIF
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE JNQ (LO,LA)
!DESCRIPTION:
! #. INTERPOLATE VOLUME FLUXES (HU,HV) FROM OUTER GRID REGION
! (PARENT GRID LAYER, LO) INTO INNER/NESTED GRID LAYER
! (CHILD GRID LAYER, LA) ALONG CONNECTING BOUNDARIES AT
! THE BEGINNING OF A TIME STEP;
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!NOTES:
! #. REVISED SIGNIFICANTLY ON NOV 2004 (XIAOMING WANG, CORNELL)
! #. UPDATED ON JAN05 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON APR03 2009 (XIAOMING WANG, GNS)
! 1. IMPROVE COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
IF (LA%SC_OPTION.EQ.0) THEN
IS = LA%CORNERS(1)
IE = LA%CORNERS(2)
JS = LA%CORNERS(3)
JE = LA%CORNERS(4)
CALL EDGEINTERP_VERT (LO%M(IS-1,:,1),LO%NY,LA,0) !LEFT BOUNDARY
CALL EDGEINTERP_VERT (LO%M(IE,:,1),LO%NY,LA,1) !RIGHT BOUNDARY
CALL EDGEINTERP_HORI (LO%N(:,JS-1,1),LO%NX,LA,0) !BOTTOM BOUNDARY
CALL EDGEINTERP_HORI (LO%N(:,JE,1),LO%NX,LA,1) !TOP BOUNDARY
ELSE
CALL EDGE_INTERP_SC (LO,LA)
ENDIF
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE EDGEINTERP_VERT (FLUX,NY,LA,SIDE)
!.....ADDED BY XIAOMING WANG (JAN 22, 2006)
!.....SIGNIFICANT CHANGE FROM OLD SUB. (BEFORE NOV 2005):
! INTERPOLATE FLUX INSTEAD OF VELOCITY
!.....INTERPOLATING VOLUMN FLUX ALONG HORIZONTAL CONNECTING BOUNDARY
! FROM COARSE GRIDS INTO FINER GRIDS
! 1 -- TOP CONNECTING BOUNDARY
!.....SIDE:
! 0 -- LEFT CONNECTING BOUNDARY
! 1 -- RIGHT CONNECTING BOUNDARY
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LA
INTEGER :: NY,SIDE,NN,IR,XS,XE,YS,YE
! REAL, DIMENSION(2*LA%REL_SIZE+1) :: EDGE
REAL, DIMENSION(NY) :: FLUX
REAL C1,C2,FLUX_X,FLUX_E
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
! DEGE = 0.0
NN = 2*LA%REL_SIZE
IR = LA%REL_SIZE
XS = LA%CORNERS(1)
XE = LA%CORNERS(2)
YS = LA%CORNERS(3)
YE = LA%CORNERS(4)
J_SHIFT = -YS*IR+1
IF (SIDE .EQ. 0) II = 1 !FOR LEFT BOUNDARY, SIDE=0
IF (SIDE .EQ. 1) II = LA%NX !FOR RIGHT BOUNDARY, SIDE=1
DO J=YS,YE
FLUX_S = 0.5*(FLUX(J-1)+FLUX(J))
FLUX_E = 0.5*(FLUX(J+1)+FLUX(J))
C1 = (FLUX_E-FLUX_S)/DBLE(NN)
C2 = -C1 + FLUX_S
!* DO K=1,NN+1
!* EDGE(K) = K*C1 + C2 !DBLE(K-1)*(FLUX_E-FLUX_S)/DBLE(NN)+FLUX_S
!* ENDDO
JS = J*IR + J_SHIFT !(J-YS)*IR+1
DO K=1,LA%REL_SIZE
JJ = JS+K
LA%M(II,JJ,1) = 2.0*K*C1 + C2 !EDGE(2*K)
!* IF (LA%H(II,JJ) .LE. GX) LA%M(II,JJ,1) = 0.0
IF (LA%H(II,JJ)+LA%Z(II,JJ,1) .LE. GX) LA%M(II,JJ,1) = 0.0
ENDDO
ENDDO
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE EDGEINTERP_HORI (FLUX,NX,LA,SIDE)
!.....ADDED BY XIAOMING WANG (JAN 22, 2006)
!.....SIGNIFICANT CHANGE FROM OLD SUB. (BEFORE NOV 2005):
! INTERPOLATE FLUX INSTEAD OF VELOCITY
!.....INTERPOLATING VOLUMN FLUX ALONG HORIZONTAL CONNECTING BOUNDARY
! FROM COARSE GRIDS INTO FINER GRIDS
!.....SIDE:
! 0 -- BOTTOM CONNECTING BOUNDARY
! 1 -- TOP CONNECTING BOUNDARY
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER :: SIDE,XS,XE,YS,YE
! REAL, DIMENSION(2*LA%REL_SIZE+1) :: EDGE
REAL, DIMENSION(NX) :: FLUX
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
! EDGE = 0.0
NN = 2*LA%REL_SIZE
IR = LA%REL_SIZE
XS = LA%CORNERS(1)
XE = LA%CORNERS(2)
YS = LA%CORNERS(3)
YE = LA%CORNERS(4)
I_SHIFT = -XS*IR+1
IF (SIDE .EQ. 0) JJ = 1 !FOR BOTTOM BOUNDARY, SIDE=0
IF (SIDE .EQ. 1) JJ = LA%ny !FOR TOP BOUNDARY, SIDE=1
DO I=XS,XE
FLUX_S = 0.5*(FLUX(I-1)+FLUX(I))
FLUX_E = 0.5*(FLUX(I+1)+FLUX(I))
C1 = (FLUX_E-FLUX_S)/DBLE(NN)
C2 = -C1+FLUX_S
!* DO K=1,NN+1
!* EDGE(K) = K*C1+C2 !DBLE(K-1)*(FLUX_E-FLUX_S)/DBLE(NN)+FLUX_S
!* ENDDO
IS = I*IR+I_SHIFT !(I-XS)*IR+1
DO K=1,LA%REL_SIZE
II = IS+K
LA%N(II,JJ,1) = 2.0*K*C1+C2 !EDGE(2*K)
!* IF (LA%H(II,JJ) .LE. 0.0) LA%N(II,JJ,1) = 0.0
IF (LA%H(II,JJ)+LA%Z(II,JJ,1) .LE. GX) LA%N(II,JJ,1) = 0.0
ENDDO
ENDDO
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE NEWQ (LO, LA, T)
!.......................................................................
!DESCRIPTION:
! #. INTERPOLATING VOLUME FLUX FROM OUTER LAYER INTO INNER LAYER
! THROUGH FOUR CONNECTING BOUNDARIES (I.E., FOUR BOUNDARIES OF
! GRID LAYER LA) WHICH SERVE AS THE FLUX BOUNDARY CONDITION OF LA
! AT THE MOMENT BETWEEN N*DT AND (N+1)*DT WHEN TIME STEP SIZE
! RATIO OF LO TO LA IS LARGER THAN 1;
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!INPUT:
! #. LO: PARENT GRID INFO (OUTER GRID)
! #. LA: CHILD GRID INFO (INNER GRID)
! #. T: AN INTEGER AMONG 1 TO LA%REL_TIME
!NOTES:
! #. CREATED BY XIAOMING WANG (CORNELL, 2005)
! #. UPDATED ON JAN 25 2006 (XIAOMING WANG, CORNELL UNIVERSITY)
! #. UPDATED ON JAN09 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON APR03 2009 (XIAOMING WANG, GNS)
! 1. IMPROVE COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER T
IF (LA%SC_OPTION .EQ. 0) THEN
CALL NEWQ_VERT(LO,LA,T,0) ! LEFT BOUNDARY
CALL NEWQ_VERT(LO,LA,T,1) ! RIGHT BOUNDARY
CALL NEWQ_HORI(LO,LA,T,0) ! BOTTOM BOUNDARY
CALL NEWQ_HORI(LO,LA,T,1) ! TOP BOUNDARY
ELSE
CALL NEWQ_SC (LO, LA, T)
ENDIF
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE NEWQ_VERT (LO, LA, T, SIDE)
!.......................................................................
!DESCRIPTION:
! #. INTERPOLATING VOLUME FLUX FROM OUTER LAYER INTO INNER LAYER
! THROUGH LEFT AND RIGHT CONNECTING BOUNDARIES (I.E., LEFT AND
! RIGHT BOUNDARIES OF GRID LAYER LA) WHICH SERVE AS THE FLUX
! BOUNDARY CONDITION OF LA AT THE MOMENT BETWEEN N*DT AND (N+1)*DT
! WHEN TIME STEP SIZE RATIO OF LO TO LA IS LARGER THAN 1;
! #. SIDE:
! 0 -- LEFT CONNECTING BOUNDARY
! 1 -- RIGHT CONNECTING BOUNDARY
!NOTES:
! #. CREATED BY XIAOMING WANG (CORNELL, 2006)
! #. UPDATED ON JAN09 2009 (XIAOMING WANG, GNS)
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER SIDE
INTEGER T
REAL HM, XM, GRX
REAL YFLUX(LO%NY)
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
GRX = LO%GRX
YFLUX = 0.0
XM = 0.0
IS = LA%CORNERS(1)
IE = LA%CORNERS(2)
JS = LA%CORNERS(3)
JE = LA%CORNERS(4)
IF (SIDE .EQ. 0) I = IS-1 !FOR LEFT BOUNDARY, SIDE=0
IF (SIDE .EQ. 1) I = IE !FOR RIGHT BOUNDARY, SIDE=1
C1 = (T-1.0)/LA%REL_TIME
C2 = 1.0-C1
IP1 = I+1
DO J=JS-2,JE+2
IF ((LO%H(I,J)+LO%Z(I,J,2).GT.GX) &
.AND. (LO%H(IP1,J)+LO%Z(IP1,J,2).GT.GX)) THEN
IF (T.EQ.2) THEN !THIS ENSURES FORECAST CALCULATION ONLY BEING DONE ONCE
IF (LO%LAYCORD .EQ. 0) THEN
JM1 = J-1
TOT_N = LO%N(I,J,1)+LO%N(IP1,J,1)+LO%N(I,JM1,1) &
+LO%N(IP1,JM1,1)
XM = LO%M(I,J,1)-LO%R2(I,J)*(LO%Z(IP1,J,2) &
-LO%Z(I,J,2))+LO%R3(I,J)*TOT_N
ELSE
HM = LO%HP(I,J)+0.5*(LO%Z(I,J,2)+LO%Z(IP1,J,2))
XM = LO%M(I,J,1)-GRX*HM*(LO%Z(IP1,J,2)-LO%Z(I,J,2))
ENDIF
IF (ABS(XM).LT.EPS) XM = ZERO
!* LO%YFLUX(J) = 0.5*(XM+LO%M(I,J,1))
! LO%YFLUX(J) = (T-1.0)/LA%REL_TIME*(XM-LO%M(I,J,1))+LO%M(I,J,1)
LO%YFLUX(J,SIDE+1) = XM
ENDIF
YFLUX(J) = C1*LO%YFLUX(J,SIDE+1) + C2*LO%M(I,J,1)
END IF
END DO
CALL EDGEINTERP_VERT(YFLUX,LO%NY,LA,SIDE)
RETURN
END
!-----------------------------------------------------------------------
SUBROUTINE NEWQ_HORI (LO, LA, T, SIDE)
!.......................................................................
!DESCRIPTION:
! #. INTERPOLATING VOLUME FLUX FROM OUTER LAYER INTO INNER LAYER
! THROUGH TOP AND BOTTOM CONNECTING BOUNDARIES (I.E., TOP AND
! BOTTOM BOUNDARIES OF GRID LAYER LA) WHICH SERVE AS THE FLUX
! BOUNDARY CONDITION OF LA AT THE MOMENT BETWEEN N*DT AND (N+1)*DT
! WHEN TIME STEP SIZE RATIO OF LO TO LA IS LARGER THAN 1;
! #. SIDE:
! 0 -- BOTTOM CONNECTING BOUNDARY
! 1 -- TOP CONNECTING BOUNDARY
!NOTES:
! #. CREATED BY XIAOMING WANG (CORNELL, 2006)
! #. UPDATED ON JAN09 2009 (XIAOMING WANG, GNS)
!-----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER SIDE
INTEGER T
REAL HN, XN, GRY
REAL XFLUX(LO%NX)
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
GRY = LO%GRY
XFLUX = 0.0
XN = 0.0
IS = LA%CORNERS(1)
IE = LA%CORNERS(2)
JS = LA%CORNERS(3)
JE = LA%CORNERS(4)
IF (SIDE .EQ. 0) J = JS-1 !FOR BOTTOM BOUNDARY, SIDE=0
IF (SIDE .EQ. 1) J = JE !FOR TOP BOUNDARY, SIDE=1
C1 = (T-1.0)/LA%REL_TIME
C2 = 1-C1
JP1 = J+1
DO I=IS-2,IE+2
IF ((LO%H(I,J)+LO%Z(I,J,2).GT.GX) &
.AND. (LO%H(I,JP1)+LO%Z(I,JP1,2).GT.GX)) THEN
! THIS ENSURES FORECAST CALCULATION ONLY BEING DONE ONCE
IF (T.EQ.2) THEN
IM1 = I-1
IF (LO%LAYCORD .EQ. 0) THEN
TOT_M = LO%M(IM1,J,1)+LO%M(IM1,JP1,1)+LO%M(I,J,1) &
+LO%M(I,JP1,1)
XN = LO%N(I,J,1)-LO%R4(I,J)*(LO%Z(I,JP1,2) &
-LO%Z(I,J,2))-LO%R5(I,J)*TOT_M
ELSE
HN = LO%HQ(I,J)+0.5*(LO%Z(I,J,2)+LO%Z(I,JP1,2))
XN = LO%N(I,J,1)-GRY*HN*(LO%Z(I,JP1,2)-LO%Z(I,J,2))
ENDIF
IF (ABS(XN).LT.EPS) XN = ZERO
LO%XFLUX(I,SIDE+1) = XN
!* LO%XFLUX(I) = 0.5*(XN+LO%N(I,J,1))
! LO%XFLUX(I) = (T-1.0)/LA%REL_TIME*(XN-LO%N(I,J,1))+LO%N(I,J,1)
ENDIF
XFLUX(I) = C1*LO%XFLUX(I,SIDE+1) + C2*LO%N(I,J,1)
END IF
END DO
CALL EDGEINTERP_HORI(XFLUX,LO%NX,LA,SIDE)
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE ININTERP (LO,LA)
!DESCRIPTION:
! #. INTERPOLATE DEFORMATION PROFILE FROM 1ST-LEVEL GRID ALYER
! LO INTO ALL SUB-LEVEL GRID LAYERS, LA;
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!NOTES:
! #. UPDATED ON OCT 28 2004 (XIAOMING WANG)
! #. UPDATED ON SEP 17 2006 (XIAOMING WANG)
! #. LAST REVISE: JAN.05 2009 (XIAOMING WANG)
! #. UPDATED ON FEB03 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON APR03 2009 (XIAOMING WANG, GNS)
! 1. IMPROVE COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO
TYPE (LAYER),DIMENSION(NUM_GRID) :: LA
INTEGER OPTION
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
!.....INTERPOLATE FROM 1ST-LEVEL GRID REGION LO TO 2ND-LEVEL REGION LA
DO I = 1,NUM_GRID
IF (LA(I)%LAYSWITCH.EQ.0 .AND. LA(I)%PARENT.EQ.LO%ID) THEN
IF (LA(I)%SC_OPTION .EQ. 0) THEN
CALL CELL_INTERP (LO,LA(I))
ELSE
CALL CELL_INTERP_SC (LO,LA(I))
ENDIF
ENDIF
ENDDO
!.....INTERPOLATE FROM 2ND-LEVEL GRID REGION TO ALL SUB-LEVEL GRIDS
DO L=2,NUM_GRID+1
DO J=1,NUM_GRID
IF (LA(J)%LAYSWITCH.EQ.0 .AND. LA(J)%LEVEL.EQ.L) THEN
DO K=1,NUM_GRID
IF (LA(K)%LAYSWITCH.EQ.0 &
.AND. LA(K)%PARENT.EQ.LA(J)%ID) THEN
IF (LA(K)%SC_OPTION .EQ. 0) THEN
CALL CELL_INTERP (LA(J),LA(K))
ELSE
CALL CELL_INTERP_SC (LA(J),LA(K))
ENDIF
ENDIF
ENDDO
ENDIF
ENDDO
ENDDO
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE CELL_INTERP (LO,LA)
!......................................................................
!DESCRIPTION:
! #. INTERPOLATE INITIAL SURFACE DEFORMATION FROM OUTER REGION (LO)
! INTO INNER REGIONS (LA)
!NOTE:
! #. CREATED ON OCT 28, 2004 (XIAOMING WANG, CORNELL UNIVERSITY)
! ORIGINAL SUBROUTINE INI_TPL IS REMOVED TO
! SIMPLIFY VARIABLE STRUCTURE
! #. UPDATED ON JAN06 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER :: IS,JS,IE,JE,NX,IR
REAL TL,TR,BL,BR
REAL CELL(2*LA%REL_SIZE+1,2*LA%REL_SIZE+1)
REAL SMALL(LA%REL_SIZE,LA%REL_SIZE)
REAL DEFORM (LA%NX,LA%NY)
SMALL = 0.0
CELL = 0.0
DEFORM = 0.0
IS = LA%CORNERS(1)
IE = LA%CORNERS(2)
JS = LA%CORNERS(3)
JE = LA%CORNERS(4)
NX = 2*LA%REL_SIZE
IR = LA%REL_SIZE
DO I = IS, IE
IP1 = I + 1
IM1 = I - 1
DO J = JS, JE
JP1 = J + 1
JM1 = J - 1
!GET DEFORMATION AT FOUR CORNERS OF A LARGE GRID CELL
TL = (LO%DEFORM(I,J)+LO%DEFORM(I,JP1)+LO%DEFORM(IM1,J) &
+LO%DEFORM(IM1,JP1))/4.0 !TOP LEFT CORNER
TR = (LO%DEFORM(I,J)+LO%DEFORM(I,JP1)+LO%DEFORM(IP1,J) &
+LO%DEFORM(IP1,JP1))/4.0 !TOP RIGHT CORNER
BL = (LO%DEFORM(I,J)+LO%DEFORM(I,JM1)+LO%DEFORM(IM1,J) &
+LO%DEFORM(IM1,JM1))/4.0 !BOTTOM LEFT CORNER
BR = (LO%DEFORM(I,J)+LO%DEFORM(I,JM1)+LO%DEFORM(IP1,J) &
+LO%DEFORM(IP1,JM1))/4.0 !BOTTOM RIGHT CORNER
!...........CELL STORES WATERDEPTH VALUES CENTERED AT LARGE GRID (I,J)
! WHICH ARE INTERPOLATED FROM ITS ADJACENT LARGE GRIDS
!...........GET VALUES ALONG TWO VERTICAL BOUNDARY OF THE LARGE CELL
DO K=1,NX+1
CELL(1,K) = (K-1.0)*(TL-BL)/NX + BL
CELL(NX+1,K) = (K-1.0)*(TR-BR)/NX + BR
ENDDO
!INTERPOLATED FROM TWO VERTICAL BOUNDARIES
DO M=1, NX+1
DO K=1, NX+1
CELL(M,K)=(M-1.)*(CELL(NX+1,K)-CELL(1,K))/NX+CELL(1,K)
ENDDO
ENDDO
!...........GET INTERPOLATED WATER DEPTH VALUES FOR NESTED GRIDS
! OVERLAPPED BY CELL (LAY1(I,J))
DO K=1,LA%REL_SIZE
DO M=1,LA%REL_SIZE
SMALL(K,M)=CELL(2*K,2*M)
ENDDO
ENDDO
DEFORM((I-IS)*IR+2:(I-IS+1)*IR+1, &
(J-JS)*IR+2:(J-JS+1)*IR+1) = SMALL(:,:)
ENDDO
ENDDO
LA%DEFORM(:,:) = DEFORM(:,:)
! LA%Z(:,:,1) = LA%Z(:,:,1) + LA%DEFORM(:,:)
!* LA%Z((I-XS)*IR+2:(I-XS+1)*IR+1,(J-YS)*IR+2:(J-YS+1)*IR+1,1) = SMALL(:,:)
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE CELL_INTERP_SC (LO,LA)
!......................................................................
!DESCRIPTION:
! #. INTERPOLATE INITIAL SURFACE DEFORMATION FROM OUTER REGION (LO)
! INTO INNER REGIONS (LA)
! #. DESIGNED FOR INTERPOLATION FROM SPHERICAL GRID LAYER, LO, TO
! CARTESIAN GRID LAYERS, LA;
! #. REVERSE UNIVERSAL TRANSVERSE MERCATOR PROJECTION IS ADOPTED
! TO PROJECT GRIDS IN CARTESIAN COORDINATE SYSTEM ONTO THE
! EARTH SPHERE SURFACE (WGS84 ELLIPSOID);
! #. LA%UPZ =
! .TRUE. - PARENT GRID, LO, AND CHILD GRID, LA, ADOPT
! THE SAME COORDINATE SYSTEM;
! .FALSE. - PARENT GRID, LO, AND CHILD GRID, LA, ADOPT
! DIFFERENT COORDINATE SYSTEM;
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!NOTE:
! #. CREATED ON JAN05 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON JAN05 2009 (XIAOMING WANG, GNS)
! #. UPDATED ON APR06 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
INTEGER KI,KJ,I,J
REAL Z1,Z2,Z3,Z4
REAL DEFORM(LA%NX,LA%NY)
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
DEFORM = 0.0
DO I = 1,LA%NX
DO J = 1,LA%NY
KI = LA%POS(I,J,1)
KJ = LA%POS(I,J,2)
IF (KI.GE.1 .AND. KI.LT.LO%NX) THEN
IF (KJ.GE.1 .AND. KJ.LT.LO%NY) THEN
Z1 = LO%DEFORM(KI,KJ)*LA%CXY(I,J,1)
Z2 = LO%DEFORM(KI+1,KJ)*LA%CXY(I,J,2)
Z3 = LO%DEFORM(KI,KJ+1)*LA%CXY(I,J,3)
Z4 = LO%DEFORM(KI+1,KJ+1)*LA%CXY(I,J,4)
DEFORM(I,J) = Z1+Z2+Z3+Z4
ENDIF
ENDIF
ENDDO
ENDDO
! LA%Z(:,:,1) = LA%Z(:,:,1) + CELL(:,:)
LA%DEFORM(:,:) = DEFORM(:,:)
RETURN
END
!----------------------------------------------------------------------
SUBROUTINE EDGE_INTERP_SC (LO,LA)
!......................................................................
!DESCRIPTION:
! #. VOLUME FLUXES ALONG FOUR BOUNDARIES OF CHILD GRID LAYER LA ARE
! OBTAINED VIA INTERPOLATION FROM PARENT GRID LAYER LO AT
! THE BEGINNING OF A TIME STEP;
! #. DESIGNED FOR INTERPOLATION FROM SPHERICAL GRID LAYER, LO, TO
! CARTESIAN GRID LAYERS, LA;
! #. REVERSE UNIVERSAL TRANSVERSE MERCATOR PROJECTION IS ADOPTED
! TO PROJECT GRIDS IN CARTESIAN COORDINATE SYSTEM ONTO THE
! EARTH SPHERE SURFACE (WGS84 ELLIPSOID);
! #. LA%UPZ =
! .TRUE. - PARENT GRID, LO, AND CHILD GRID, LA, ADOPT
! THE SAME COORDINATE SYSTEM;
! .FALSE. - PARENT GRID, LO, AND CHILD GRID, LA, ADOPT
! DIFFERENT COORDINATE SYSTEM;
! #. SC_OPTION: COUPLING SCHEME BETWEEN SPHERICAL AND CARTESIAN
! = 0: TRADITIONAL COUPLING SCHEME BETWEEEN SPH AND CART;
! = 1: IMPROVED COUPLING SCHEME BETWEEN SPH AND CART;
!NOTE:
! CREATED ON JAN05 2009 (XIAOMING WANG, GNS)
! UPDATED ON JAN06 2009 (XIAOMING WANG, GNS)
!----------------------------------------------------------------------
USE LAYER_PARAMS
TYPE (LAYER) :: LO, LA
real Z1,Z2,Z3,Z4
COMMON /CONS/ ELMAX,GRAV,PI,R_EARTH,GX,EPS,ZERO,ONE,NUM_GRID, &
NUM_FLT,V_LIMIT,RAD_DEG,RAD_MIN
!.....GET FLUX THROUGH LEFT BOUNDARY OF LA
DO J = 1,LA%NY
KI = LA%POS(1,J,1)
KJ = LA%POS(1,J,2)
IF (LA%H(I,J)+LA%Z(I,J,2) .GT. GX) THEN
Z1 = LO%M(KI,KJ,1)*LA%CXY(1,J,1)
Z2 = LO%M(KI+1,KJ,1)*LA%CXY(1,J,2)
Z3 = LO%M(KI,KJ+1,1)*LA%CXY(1,J,3)
Z4 = LO%M(KI+1,KJ+1,1)*LA%CXY(1,J,4)
LA%M(1,J,1) = Z1+Z2+Z3+Z4
ELSE
LA%M(1,J,1) = 0.0
ENDIF
ENDDO
!.....GET FLUX THROUGH RIGHT BOUNDARY OF LA
DO J = 1,LA%NY
KI = LA%POS(LA%NX,J,1)
KJ = LA%POS(LA%NX,J,2)
IF (LA%H(I,J)+LA%Z(I,J,2) .GT. GX) THEN
Z1 = LO%M(KI,KJ,1)*LA%CXY(LA%NX,J,1)
Z2 = LO%M(KI+1,KJ,1)*LA%CXY(LA%NX,J,2)
Z3 = LO%M(KI,KJ+1,1)*LA%CXY(LA%NX,J,3)
Z4 = LO%M(KI+1,KJ+1,1)*LA%CXY(LA%NX,J,4)
LA%M(LA%NX,J,1) = Z1+Z2+Z3+Z4
ELSE
LA%M(LA%NX,J,1) = 0.0
ENDIF
ENDDO
!.....GET FLUX THROUGH BOTTOM BOUNDARY OF LA
DO I = 1,LA%NX
KI = LA%POS(I,1,1)
KJ = LA%POS(I,1,2)
IF (LA%H(I,J)+LA%Z(I,J,2) .GT. GX) THEN
Z1 = LO%N(KI,KJ,1)*LA%CXY(I,1,1)
Z2 = LO%N(KI+1,KJ,1)*LA%CXY(I,1,2)
Z3 = LO%N(KI,KJ+1,1)*LA%CXY(I,1,3)
Z4 = LO%N(KI+1,KJ+1,1)*LA%CXY(I,1,4)
LA%N(I,1,1) = Z1+Z2+Z3+Z4
ELSE
LA%N(I,1,1) = 0.0
ENDIF
ENDDO