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CALSTEPD.for
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CALSTEPD.for
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SUBROUTINE CALSTEPD
C
C CHANGE RECORD
C ** SUBROUTINE CALSTEP ESTIMATE THE CURRENT MAXIMUM TIME STEP SIZE
C ** FORM LINEAR STABILITY CRITERIA AND A FACTOR OF SAFETY
C
USE GLOBAL
REAL,SAVE,ALLOCATABLE,DIMENSION(:)::DTL1
REAL,SAVE,ALLOCATABLE,DIMENSION(:)::DTL2
REAL,SAVE,ALLOCATABLE,DIMENSION(:)::DTL3
REAL,SAVE,ALLOCATABLE,DIMENSION(:,:)::QSUBINN
REAL,SAVE,ALLOCATABLE,DIMENSION(:,:)::QSUBOUT
IF(.NOT.ALLOCATED(DTL1))THEN
ALLOCATE(DTL1(LCM))
ALLOCATE(DTL2(LCM))
ALLOCATE(DTL3(LCM))
ALLOCATE(QSUBINN(LCM,KCM))
ALLOCATE(QSUBOUT(LCM,KCM))
DTL1=0.0
DTL2=0.0
DTL3=0.0
QSUBINN=0.0
QSUBOUT=0.0
ENDIF
C
C**********************************************************************C
C
ITRNTMP=0
DO NX=1,7
ITRNTMP=ITRNTMP+ISTRAN(NX)
ENDDO
C
IF(N.LE.0)DTDYN=0.0
C
DTMIN=DT
DTMAX=TIDALP
C
DO L=2,LA
DTL1(L)=DTMAX
DTL2(L)=DTMAX
DTL3(L)=DTMAX
ENDDO
C
C ** DETERMINE SOURCE/SINKS FOR SUBGRID SCALE CHANNEL EXCHANGES
C
DO K=1,KC
DO L=2,LA
QSUBOUT(L,K)=0.0
QSUBINN(L,K)=0.0
ENDDO
ENDDO
C
IF(MDCHH.GE.1)THEN
DO K=1,KC
DO NMD=1,MDCHH
LMDCHHT=LMDCHH(NMD)
LMDCHUT=LMDCHU(NMD)
LMDCHVT=LMDCHV(NMD)
IF(MDCHTYP(NMD).EQ.1)THEN
QUKTMP=QCHANU(NMD)*DZC(K)
QVKTMP=0.
ENDIF
IF(MDCHTYP(NMD).EQ.2)THEN
QVKTMP=QCHANV(NMD)*DZC(K)
QUKTMP=0.
ENDIF
IF(MDCHTYP(NMD).EQ.3)THEN
QUKTMP=QCHANU(NMD)*DZC(K)
QVKTMP=QCHANV(NMD)*DZC(K)
ENDIF
QSUBOUT(LMDCHHT,K)=QSUBOUT(LMDCHHT,K)
& +MIN(QUKTMP,0.)
& +MIN(QVKTMP,0.)
QSUBINN(LMDCHHT,K)=QSUBINN(LMDCHHT,K)
& +MAX(QUKTMP,0.)
& +MAX(QVKTMP,0.)
QSUBOUT(LMDCHUT,K)=QSUBOUT(LMDCHUT,K)
& -MAX(QUKTMP,0.)
QSUBINN(LMDCHUT,K)=QSUBINN(LMDCHUT,K)
& -MIN(QUKTMP,0.)
QSUBOUT(LMDCHVT,K)=QSUBOUT(LMDCHVT,K)
& -MAX(QVKTMP,0.)
QSUBINN(LMDCHVT,K)=QSUBINN(LMDCHVT,K)
& -MIN(QVKTMP,0.)
ENDDO
ENDDO
ENDIF
C
C ** METHOD 1: UPWIND DIFF IN MOMENTUM EQUATIONS
C
DO K=1,KC
DO L=2,LA
IF(LMASKDRY(L))THEN
LE=L+1
LN=LNC(L)
LS=LSC(L)
KM=K-1
VATUUU=0.25*(V(L,K)+V(L-1,K)+V(LN,K)+V(LN-1,K))
TMPUUU=ABS(U(L,K)/DXU(L))+ABS(VATUUU/DYU(L))
DTTMP=1./(TMPUUU+1.0E-18)
DTL1(L)=MIN(DTL1(L),DTTMP)
UATVVV=0.25*(U(L,K)+U(LS,K)+V(L+1,K)+V(LS+1,K))
TMPVVV=ABS(V(L,K)/DYV(L))+ABS(UATVVV/DXV(L))
DTTMP=1./(TMPVVV+1.0E-18)
DTL1(L)=MIN(DTL1(L),DTTMP)
UEAST=ABS(U(L,K))
UWEST=ABS(U(L+1,K))
VSOUTH=ABS(V(L,K))
VNORTH=ABS(V(LN,K))
TMPVVV=MAX(VSOUTH,VNORTH)
TMPUUU=MAX(UEAST,UWEST)
TMPVAL=TMPUUU/DXP(L)+TMPVVV/DYP(L)
DTTMP=1./(TMPVAL+1.0E-18)
DTL1(L)=MIN(DTL1(L),DTTMP)
ENDIF
ENDDO
ENDDO
C
C ** METHOD 2: POSITIVITY OF ADVECTED MATERIAL, DTL2
C
IF(ITRNTMP.GE.1)THEN
DO K=1,KC
DO L=2,LA
!IF(LMASKDRY(L))THEN
! *** DSLLC SINGLE LINE (TO ADDRESS BED CHANGE, IMORPH UPDATES H1P TO HP
IF(HP(L).GT.HDRY.AND.H1P(L).GT.HDRY)THEN
LE=L+1
LN=LNC(L)
LS=LSC(L)
KM=K-1
TOP=DZC(K)*H1P(L)*DXYP(L)
QXPLUS=UHDY2(LE,K)*DZC(K)
QXPLUS=MAX(QXPLUS,0.0)
QYPLUS=VHDX2(LN,K)*DZC(K)
QYPLUS=MAX(QYPLUS,0.0)
QZPLUS=W2(L,K)*DXYP(L)
QZPLUS=MAX(QZPLUS,0.0)
QXMINS=UHDY2(L,K)*DZC(K)
QXMINS=-MIN(QXMINS,0.0)
QYMINS=VHDX2(L,K)*DZC(K)
QYMINS=-MIN(QYMINS,0.0)
QZMINS=W2(L,KM)*DXYP(L)
QZMINS=-MIN(QZMINS,0.0)
QTOTAL=QSUM(L,K)+QSUBOUT(L,K)+QSUBINN(L,K)
QSRC=-MIN(QTOTAL,0.0)
BOT=QXPLUS+QYPLUS+QZPLUS+QXMINS+QYMINS+QZMINS+QSRC
IF(BOT.GT.0.0)THEN
DTTMP=TOP/BOT
DTL2(L)=MIN(DTL2(L),DTTMP)
IF(DTTMP.LT.0.0)THEN
WRITE(6,880)IL(L),JL(L),K,TOP,QXPLUS,QYPLUS,QZPLUS,
& QXMINS,QYMINS,QZMINS,QSRC
WRITE(8,880)IL(L),JL(L),K,TOP,QXPLUS,QYPLUS,QZPLUS,
& QXMINS,QYMINS,QZMINS,QSRC
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDIF
C
C ** METHOD 3: implicit BOTTOM FRICTION AND ROTATIONAL ACCELERATION DAMPING
C
DO L=2,LA
IF(LMASKDRY(L))THEN
TMPVAL=SUB(L)+SUB(L+1)+SVB(L)+SVB(LNC(L))
IF(TMPVAL.LT.0.5)THEN
LN=LNC(L)
TAUBC=QQ(L,0)/CTURB2
UCTR=0.5*(U(L,1)+U(L+1,1))
VCTR=0.5*(V(L,1)+V(LN,1))
UHMAG=HP(L)*SQRT(UCTR*UCTR+VCTR*VCTR)
IF(UHMAG.GT.0.0)THEN
FRIFRE=TAUBC/UHMAG
FRIFRE2=FRIFRE*FRIFRE
ACACTMP=(CAC(L,KC)*HPI(L)*DXYIP(L))**2
IF(ACACTMP.GT.FRIFRE2)THEN
DTTMP=2.*FRIFRE/(ACACTMP-FRIFRE2)
DTL3(L)=MIN(DTL3(L),DTTMP)
ENDIF
ENDIF
ENDIF
ENDIF
ENDDO
C
C ** CHOOSE THE MINIMUM OF THE THREE METHODS
C
DTL1MN=2.*DTMAX
DTL2MN=2.*DTMAX
DTL3MN=2.*DTMAX
DTTMP=2.*DTMAX
DO L=2,LA
IF(LMASKDRY(L))THEN
IF(DTL1MN.GT.DTL1(L))THEN
DTL1MN=DTL1(L)
L1LOC=L
ENDIF
IF(DTL2MN.GT.DTL2(L))THEN
DTL2MN=DTL2(L)
L2LOC=L
ENDIF
IF(DTL3MN.GT.DTL3(L))THEN
DTL3MN=DTL3(L)
L3LOC=L
ENDIF
ENDIF
ENDDO
C
C *** DSLLC BEGIN BLOCK
C
C ** FIND MINIMUM & APPLY A SAFETY FACTOR
C
DTL1MN=DTL1MN*DTSSFAC
IF(DTTMP.GT.DTL1MN)THEN
DTTMP=DTL1MN
DTCOMP=DTTMP/DTSSFAC
LLOC=L1LOC
ENDIF
DTL2MN=DTL2MN*DTSSFAC
IF(DTTMP.GT.DTL2MN)THEN
DTTMP=DTL2MN
DTCOMP=DTTMP/DTSSFAC
LLOC=L2LOC
ENDIF
DTL3MN=DTL3MN*DTSSFAC
IF(DTTMP.GT.DTL3MN)THEN
DTTMP=DTL3MN
DTCOMP=DTTMP/DTSSFAC
LLOC=L3LOC
ENDIF
LMINSTEP=LLOC
C *** DSLLC END BLOCK
C
C ** CHECK IF CURVATURE INSTABILITY IS CONTROLLED
C
c CACDTMX=-1000.
c DO L=2,LA
c IF(LMASKDRY(L))THEN
c CACTMP=ABS(DTTMP*CAC(L,KC)*HPI(L)*DXYIP(L))
c CACDTMX=MAX(CACDTMX,CACTMP)
c ENDIF
c ENDDO
c CACAMP=SQRT(1.+CACDTMX*CACDTMX)
C
TIMEDAY=TIMESEC/86400.
IF(DTCOMP.LT.DTMIN)THEN ! *** DSLLC SINGLE LINE
WRITE(8,800)TIMEDAY,DTTMP,DTMIN,IL(LLOC),JL(LLOC)
WRITE(6,800)TIMEDAY,DTTMP,DTMIN,IL(LLOC),JL(LLOC)
WRITE(8,801)IL(L1LOC),JL(L1LOC),DTL1MN
WRITE(6,801)IL(L1LOC),JL(L1LOC),DTL1MN
WRITE(8,802)IL(L2LOC),JL(L2LOC),DTL2MN
WRITE(6,802)IL(L2LOC),JL(L2LOC),DTL2MN
WRITE(8,803)IL(L3LOC),JL(L3LOC),DTL3MN
WRITE(6,803)IL(L3LOC),JL(L3LOC),DTL3MN
DTTMP=DTMIN
C *** DSLLC BEGIN BLOCK
ELSEIF(DTTMP.LT.DTMIN)THEN
DTWARN=DTTMP
DTTMP=DTMIN
C *** DSLLC END BLOCK
ELSE
TMPVAL=DTTMP/DTMIN
ITMPR=NINT(TMPVAL)
RTMPR=FLOAT(ITMPR)
IF(RTMPR.LT.TMPVAL)THEN
DTTMP=RTMPR*DTMIN
ELSE
DTTMP=(RTMPR-1.)*DTMIN
ENDIF
ENDIF
C
C ** SET TO MINIMUM TIME STEP ON STARTUP
C
IF(N.EQ.0)DTTMP=DTMIN
C
C ** RESTRICT INCREASE IN TIME STEP TO DTMIN
C
C DTDYN2=2.*DTDYN
C IF(DTTMP.GT.DTDYN2)THEN
C DTTMP=DTDYN2
C ENDIF
C
DTDYNP=DTDYN+DTMIN
IF(DTTMP.GT.DTDYNP)THEN
DTTMP=DTDYNP
ENDIF
C
DTDYN=DTTMP
C
C ** SET INCREMENTAL INCREASE IN OUTPUT COUNTER
C
NINCRMT=NINT(DTDYN/DTMIN)
C
C ** ADJUST INCREMENT FOR N TO LAND EVENLY ON NTSPTC
C
RTCTMP=FLOAT(N)/FLOAT(NTSPTC)
NTCTMP=RTCTMP
NTMP=(1+NTCTMP)*NTSPTC-N
IF(NINCRMT.GT.NTMP)THEN
NINCRMT=NTMP
DTDYN=FLOAT(NTMP)*DTMIN
ENDIF
C
100 FORMAT(5I5,5F12.5,E13.5)
101 FORMAT(3I5,E13.5)
800 FORMAT(' TIME,DTDYN,DTMIN,I,J = ',F12.5,2E12.4,2I7)
801 FORMAT(' MOM ADV,I,J,DTM = ',2I5,E13.4)
802 FORMAT(' MASS ADV,I,J,DTM = ',2I5,E13.4)
803 FORMAT(' CURV ACC,I,J,DTM = ',2I5,E13.4)
880 FORMAT(3I5,8E13.4)
8899 FORMAT(' DT3 ERROR ',2I5,6E13.5)
C
C**********************************************************************C
C
RETURN
END