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|
*DECK SNDSA
SUBROUTINE SNDSA (KPSYS,INCONV,NGIND,IPTRK,IMPX,NGEFF,NREG,
1 NBMIX,NUN,MAT,VOL,KEYFLX,KEYSPN,NUNSA,IELEMSA,ZCODE,
2 FUNOLD,FUNKNO,NHEX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Perform a synthetic acceleration using BIVAC (2D) or TRIVAC (3D)
* for the discrete ordinates (SN) method using an SPn approximation.
*
*Copyright:
* Copyright (C) 2020 Ecole Polytechnique de Montreal
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version
*
*Author(s): A. A. Calloo, A. Hebert and N. Martin
*
*Parameters: input
* KPSYS pointer to the assembly matrices. KPSYS is an array of
* directories.
* INCONV energy group convergence flag (set to .FALSE. if converged).
* NGIND energy group indices assign to the NGEFF set.
* IPTRK pointer to the tracking (L_TRACK signature).
* IMPX print flag (equal to zero for no print).
* NGEFF number of energy groups processed in parallel.
* NREG total number of regions for which specific values of the
* neutron flux and reactions rates are required.
* NBMIX number of mixtures.
* NUN total number of unknowns in vectors FUNKNO.
* MAT index-number of the mixture type assigned to each volume.
* VOL volumes.
* KEYFLX position of averaged flux elements in FUNKNO vector.
* KEYSPN position of averaged flux elements for DSA correction.
* NUNSA number of unknowns in BIVAC/TRIVAC.
* IELEMSA degree of the RT spatial approximation for the DSA.
* ZCODE albedos.
* FUNOLD SN unknown vector at iteration kappa.
* NHEX number of hexagon.
*
*Parameters: input/output
* FUNKNO SN unknown vector at iteration kappa+1/2 (IN) and at
* iteration kappa+1,i.e., with DSA correction (OUT).
*
*Comments:
* FUNHLF is SN unknown vector at iteration kappa+1/2.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) KPSYS(NGEFF),IPTRK
INTEGER NGEFF,NGIND(NGEFF),IMPX,NREG,NBMIX,NUN,
> MAT(NREG),KEYFLX(NREG),KEYSPN(NREG),NUNSA,NHEX,
> IELEMSA
LOGICAL INCONV(NGEFF)
REAL VOL(NREG),ZCODE(6),FUNOLD(NUN,NGEFF),FUNKNO(NUN,NGEFF)
*----
* LOCAL VARIABLES
*----
PARAMETER (IUNOUT=6,NSTATE=40,PI=3.141592654)
INTEGER IPAR(NSTATE),NLOZH,SPLTL,REM,SBMSH
LOGICAL LSHOOT
REAL RAT0
*
INTEGER, ALLOCATABLE, DIMENSION(:) :: TMPKEY,ORIKEY
REAL, ALLOCATABLE, DIMENSION(:) :: SGAS
REAL, ALLOCATABLE, DIMENSION(:,:) :: FUNSA,SUNSA,FUNHLF
*
TYPE(C_PTR) DU_PTR,DE_PTR,W_PTR,DZ_PTR,U_PTR
REAL, POINTER, DIMENSION(:) :: DU,DE,W,DZ,U
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(FUNSA(NUNSA,NGEFF),SUNSA(NUNSA,NGEFF),FUNHLF(NUN,NGEFF))
*----
* RECOVER TRACKING INFORMATION
*----
CALL LCMGET(IPTRK,'STATE-VECTOR',IPAR)
ITYPE=IPAR(6)
NSCT=IPAR(7)
IELEM=IPAR(8)
NDIM=IPAR(9)
LX=IPAR(12)
LY=IPAR(13)
LZ=IPAR(14)
ISOLVSA=IPAR(33)
ISPLH=1
IF((ITYPE.EQ.8).OR.(ITYPE.EQ.9)) ISPLH=IPAR(26)
NLEG=0
LL4=0
IF(ITYPE.EQ.2) THEN
NLEG=IELEM
LL4 =LX*NSCT*NLEG
ELSE IF((ITYPE.EQ.5).OR.(ITYPE.EQ.8)) THEN
NLEG=IELEM*IELEM
LL4 =LY*LX*NSCT*NLEG
ELSE IF((ITYPE.EQ.7).OR.(ITYPE.EQ.9)) THEN
NLEG=IELEM*IELEM*IELEM
LL4 =LZ*LY*LX*NSCT*NLEG
ELSE
CALL XABORT('SNDSA: TYPE OF DISCRETIZATION NOT IMPLEMENTED.')
ENDIF
*----
* INITIALISE DSA FLUX AND SOURCE ARRAYS.
*----
FUNSA(:NUNSA,:NGEFF)=0.0
SUNSA(:NUNSA,:NGEFF)=0.0
*----
* LOOP OVER ENERGY GROUPS.
*----
DO 30 IING=1,NGEFF
IF(.NOT.INCONV(IING)) GO TO 30
IF(IMPX.GT.1) WRITE(IUNOUT,'(/24H SNDSA: PROCESSING GROUP,I5,
1 6H WITH ,A,1H.)') NGIND(IING),'SN/DSA'
*----
* RECOVER WITHIN-GROUP SCATTERING CROSS SECTION.
*----
CALL LCMLEN(KPSYS(IING),'DRAGON-TXSC',ILONG,ITYLCM)
IF(ILONG.NE.NBMIX+1) CALL XABORT('SNDSA: INVALID TXSC LENGTH.')
CALL LCMLEN(KPSYS(IING),'DRAGON-S0XSC',ILONG,ITYLCM)
NANI=ILONG/(NBMIX+1)
ALLOCATE(SGAS(ILONG))
CALL LCMGET(KPSYS(IING),'DRAGON-S0XSC',SGAS)
*----
* REBUILD KEYFLX FOR HEXAGONAL CASES
*----
! NLOZH - num. of loz. per hexagon
! SBMSH - num. of submeshes per lozenge (integer)
! SPLTL - split of the lozenge (ISPLH)
IF((ITYPE.EQ.8).OR.(ITYPE.EQ.9))THEN
ALLOCATE(TMPKEY(NREG),ORIKEY(NREG))
TMPKEY(:) = 0
ORIKEY(1:NREG) = KEYFLX(1:NREG)
IND = 0
JND = 0
NLOZH = 3*ISPLH**2
SBMSH = NLOZH/3
SPLTL = ISPLH
DO IZ=1,LZ
DO IH=1,NHEX
DO IM=1,SBMSH
REM=MOD(IM-1,SPLTL)
IF((REM.EQ.0).AND.(SBMSH.NE.1))THEN
JND = (IH-1)*NLOZH + SBMSH - (IM/SPLTL)
JND = JND + (IZ-1)*LX
ELSEIF((REM.NE.0).AND.(SBMSH.NE.1))THEN
JND = JND - (SBMSH*3) - SPLTL
ENDIF
DO ILZ=1,3
IND = (IZ-1)*LX +(IH-1)*NLOZH +(IM-1)*3 +(ILZ-1) +1
IF(SBMSH.EQ.1) JND = IND
TMPKEY(IND) = KEYFLX(JND)
JND = JND + SBMSH
ENDDO
ENDDO
ENDDO
ENDDO
KEYFLX(:) = TMPKEY(:)
DEALLOCATE(TMPKEY)
ENDIF
*----
* COMPUTE THE SOURCE OF THE DSA EQUATION.
* Equivalency between moments of the flux for SN and SPn needs to be
* verified.
*----
DO 20 IR=1,NREG
IBM=MAT(IR)
IF(IBM.LE.0) GO TO 20
SIGS=SGAS(IBM+1)
DO 10 IEL=1,(IELEMSA**NDIM)
IND=KEYFLX(IR)+IEL-1
JND=KEYSPN(IR)+IEL-1
SUNSA(JND,IING)=SUNSA(JND,IING)+SIGS*(FUNKNO(IND,IING)-
> FUNOLD(IND,IING))
10 CONTINUE
20 CONTINUE
DEALLOCATE(SGAS)
30 CONTINUE
*----
* SOLVE THE SA EQUATION USING A P1 METHOD.
*----
CALL LCMSIX(IPTRK,'DSA',1)
IF((ITYPE.EQ.7).OR.(ITYPE.EQ.9)) THEN
CALL TRIFLV(KPSYS,INCONV,NGIND,IPTRK,IMPX,1,NGEFF,NREG,NUNSA,
> KEYSPN,FUNSA,SUNSA)
ELSE
IF(ISOLVSA.EQ.1)THEN
CALL PNFLV(KPSYS,INCONV,NGIND,IPTRK,IMPX,1,NGEFF,NREG,NBMIX,
> NUNSA,MAT,VOL,KEYSPN,FUNSA,SUNSA)
ELSEIF(ISOLVSA.EQ.2)THEN
CALL TRIFLV(KPSYS,INCONV,NGIND,IPTRK,IMPX,1,NGEFF,NREG,
> NUNSA,KEYSPN,FUNSA,SUNSA)
ENDIF
ENDIF
CALL LCMSIX(IPTRK,' ',2)
*----
* LOOP OVER ENERGY GROUPS.
*----
RAT0=0.0
DO 400 IING=1,NGEFF
IF(.NOT.INCONV(IING)) GO TO 400
*--------
* Upgrade zeroth and higher moments of the P0 SN solution,
* ie, isotropic fluxes
FUNHLF(:,IING)=FUNKNO(:,IING)
DO 171 IR=1,NREG
IF(MAT(IR).LE.0) GO TO 171
DO IEL=1,NLEG
RAT0=0.0
IF(IEL.EQ.1)THEN
INDSN=KEYFLX(IR)
INDPN=KEYSPN(IR)
FUNKNO(INDSN,IING)=FUNKNO(INDSN,IING)+FUNSA(INDPN,IING)
IF(FUNHLF(INDSN,IING).LT.1.0E-7)THEN
RAT0 =0.0
ELSE
RAT0 =FUNSA(INDPN,IING)/FUNHLF(INDSN,IING)
ENDIF
ELSE
INDSN=KEYFLX(IR)+IEL-1
FUNKNO(INDSN,IING)=(1+RAT0)*FUNHLF(INDSN,IING)
ENDIF
ENDDO
171 CONTINUE
*--------
* Upgrade zeroth and higher moments of the non-P0 SN solution,
* ie, anisotropic fluxes
DO 172 IR=1,NREG
IF(MAT(IR).LE.0) GO TO 172
DO IEL=1,NLEG
DO IK =1,NSCT
IF(IK.EQ.1)THEN
INDSN=KEYFLX(IR)
INDPN=KEYSPN(IR)
IF(FUNHLF(INDSN,IING).LT.1.0E-7)THEN
RAT0 =0.0
ELSE
RAT0 =FUNSA(INDPN,IING)/FUNHLF(INDSN,IING)
ENDIF
ELSE
INDSN=KEYFLX(IR)+IEL-1 + ((IK-1)*NLEG)
FUNKNO(INDSN,IING)=(1+RAT0)*FUNHLF(INDSN,IING)
ENDIF
ENDDO
ENDDO
172 CONTINUE
*--------
* UPGRADE BOUNDARY SURFACE FLUX IN 1D CARTESIAN CASES
*--------
LSHOOT=.TRUE.
IF(IPAR(30).EQ.0) LSHOOT=.FALSE.
IF((ITYPE.EQ.2).AND.(.NOT.LSHOOT)) THEN
CALL LCMLEN(IPTRK,'U',NLF,ITYLCM)
CALL LCMGPD(IPTRK,'U',U_PTR)
CALL LCMGPD(IPTRK,'W',W_PTR)
CALL C_F_POINTER(U_PTR,U,(/ NPQ /))
CALL C_F_POINTER(W_PTR,W,(/ NPQ /))
IR=0
DO II=1,LX
IR=IR+1
IF(MAT(IR).EQ.0) GO TO 950
IF(VOL(IR).EQ.0.0) GO TO 950
*******XNEI-
IF((II.EQ.1).AND.(ZCODE(1).NE.0.0)) THEN
FHLF=0.0
FONE=0.0
SG=1.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
DO M=1,NLF
IF(U(M).LT.0.0) THEN
IND1=LX*NSCT*IELEM + 1
INDB=LX*NSCT*IELEM + M
BHLF=BHLF+W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(1))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M) * FUNHLF(INDB,IING)/FUNHLF(IND1,IING) )
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NLF
IF(U(M).LT.0.0) THEN
IND1=LX*NSCT*IELEM + 1
INDB=LX*NSCT*IELEM + M
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDIF
*******XNEI+
IF((II.EQ.LX).AND.(ZCODE(2).NE.0.0)) THEN
FHLF=0.0
FONE=0.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+IE-1
FHLF = FHLF+SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
DO M=1,NLF
IF(U(M).GT.0.0) THEN
IND1=LX*NSCT*IELEM + NLF
INDB=LX*NSCT*IELEM + M
BHLF=BHLF+W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(2))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M) * FUNHLF(INDB,IING)/FUNHLF(IND1,IING) )
! TOTW=TOTW+ABS(W(M))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NLF
IF(U(M).GT.0.0) THEN
IND1=LX*NSCT*IELEM + NLF
INDB=LX*NSCT*IELEM + M
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDIF
950 CONTINUE
ENDDO
*--------
* UPGRADE BOUNDARY SURFACE FLUX IN 2D CARTESIAN CASES
*--------
ELSEIF(ITYPE.EQ.5) THEN
CALL LCMLEN(IPTRK,'DU',NPQ,ITYLCM)
CALL LCMGPD(IPTRK,'DU',DU_PTR)
CALL LCMGPD(IPTRK,'DE',DE_PTR)
CALL LCMGPD(IPTRK,'W',W_PTR)
CALL C_F_POINTER(DU_PTR,DU,(/ NPQ /))
CALL C_F_POINTER(DE_PTR,DE,(/ NPQ /))
CALL C_F_POINTER(W_PTR,W,(/ NPQ /))
IR=0
DO 161 JJ=1,LY
DO 160 II=1,LX
IR=IR+1
IF(MAT(IR).EQ.0) GO TO 160
IF(VOL(IR).EQ.0.0) GO TO 150
*******XNEI-
IF((II.EQ.1).AND.(ZCODE(1).NE.0.0)) THEN
DO JE=1,IELEM
FHLF=0.0
FONE=0.0
SG=1.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+(JE-1)*IELEM+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DU(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1 = LL4 + (ICNT-1)*LY*IELEM + (JJ-1)*IELEM + JE
INDB = LL4 + (M-1)*LY*IELEM + (JJ-1)*IELEM + JE
BHLF=BHLF + 2.0*W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(1))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(2.0*W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DU(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IND1 = LL4 + (ICNT-1)*LY*IELEM + (JJ-1)*IELEM + JE
INDB = LL4 + (M-1)*LY*IELEM + (JJ-1)*IELEM + JE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDIF
*******XNEI+
IF((II.EQ.LX).AND.(ZCODE(2).NE.0.0)) THEN
DO JE=1,IELEM
FHLF=0.0
FONE=0.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+(JE-1)*IELEM+IE-1
FHLF = FHLF+SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DU(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1 = LL4 + (ICNT-1)*LY*IELEM + (JJ-1)*IELEM + JE
INDB = LL4 + (M-1)*LY*IELEM + (JJ-1)*IELEM + JE
BHLF=BHLF + 2.0*W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(2))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(2.0*W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DU(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IND1 = LL4 + (ICNT-1)*LY*IELEM + (JJ-1)*IELEM + JE
INDB = LL4 + (M-1)*LY*IELEM + (JJ-1)*IELEM + JE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDIF
******XNEJ-
IF((JJ.EQ.1).AND.(ZCODE(3).NE.0.0)) THEN
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
SG=1.0
DO JE=1,IELEM
INDSN=KEYFLX(IR)+(JE-1)*IELEM+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*JE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*JE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DE(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+IELEM*LY*NPQ+(ICNT-1)*LX*IELEM+(II-1)*IELEM+IE
INDB=LL4+IELEM*LY*NPQ+ (M-1)*LX*IELEM+(II-1)*IELEM+IE
BHLF=BHLF + 2.0*W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(3))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(2.0*W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DE(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+IELEM*LY*NPQ+(ICNT-1)*LX*IELEM+(II-1)*IELEM+IE
INDB=LL4+IELEM*LY*NPQ+ (M-1)*LX*IELEM+(II-1)*IELEM+IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDIF
*****XNEJ+
IF((JJ.EQ.LY).AND.(ZCODE(4).NE.0.0)) THEN
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
DO JE=1,IELEM
INDSN=KEYFLX(IR)+(JE-1)*IELEM+IE-1
FHLF = FHLF+SQRT(REAL(2*JE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*JE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DE(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+IELEM*LY*NPQ+(ICNT-1)*LX*IELEM+(II-1)*IELEM+IE
INDB=LL4+IELEM*LY*NPQ+ (M-1)*LX*IELEM+(II-1)*IELEM+IE
BHLF=BHLF + 2.0*W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(4))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(2.0*W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DE(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+IELEM*LY*NPQ+(ICNT-1)*LX*IELEM+(II-1)*IELEM+IE
INDB=LL4+IELEM*LY*NPQ+ (M-1)*LX*IELEM+(II-1)*IELEM+IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDIF
150 CONTINUE
160 CONTINUE
161 CONTINUE
*--------
* UPGRADE BOUNDARY SURFACE FLUX IN 3D CARTESIAN CASES
*--------
ELSE IF(ITYPE.EQ.7) THEN
CALL LCMLEN(IPTRK,'DU',NPQ,ITYLCM)
CALL LCMGPD(IPTRK,'DU',DU_PTR)
CALL LCMGPD(IPTRK,'DE',DE_PTR)
CALL LCMGPD(IPTRK,'DZ',DZ_PTR)
CALL LCMGPD(IPTRK,'W',W_PTR)
CALL C_F_POINTER(DU_PTR,DU,(/ NPQ /))
CALL C_F_POINTER(DE_PTR,DE,(/ NPQ /))
CALL C_F_POINTER(W_PTR,W,(/ NPQ /))
CALL C_F_POINTER(DZ_PTR,DZ,(/ NPQ /))
IR=0
DO 182 KK=1,LZ
DO 181 JJ=1,LY
DO 180 II=1,LX
IR=IR+1
IF(MAT(IR).EQ.0) GO TO 180
IF(VOL(IR).EQ.0.0) GO TO 180
******** XNEI-
IF((II.EQ.1).AND.(ZCODE(1).NE.0.0)) THEN
DO KE=1,IELEM
DO JE=1,IELEM
FHLF=0.0
FONE=0.0
SG=1.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DU(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ (ICNT-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
INDB=LL4+ (M-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(1))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DU(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ (ICNT-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
INDB=LL4+ (M-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
******** XNEI+
IF((II.EQ.LX).AND.(ZCODE(2).NE.0.0)) THEN
DO KE=1,IELEM
DO JE=1,IELEM
FHLF=0.0
FONE=0.0
DO IE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DU(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ (ICNT-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
INDB=LL4+ (M-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(2))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DU(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ (ICNT-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
INDB=LL4+ (M-1)*LY*LZ*IELEM**2 + (KK-1)*LY*IELEM**2
> + (JJ-1)*IELEM**2 + (KE-1)*IELEM + JE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
***********XNEJ-
IF((JJ.EQ.1).AND.(ZCODE(3).NE.0.0)) THEN
DO KE=1,IELEM
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
SG=1.0
DO JE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DE(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + (ICNT-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + (M-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(3))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DE(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + (ICNT-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + (M-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
*******XNEJ +
IF((JJ.EQ.LY).AND.(ZCODE(4).NE.0.0)) THEN
DO KE=1,IELEM
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
DO JE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DE(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + (ICNT-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + (M-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(4))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DE(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + (ICNT-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + (M-1)*LX*LZ*IELEM**2
> + (KK-1)*LX*IELEM**2 + (II-1)*IELEM**2 + (KE-1)*IELEM
> + IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
********* XNEK -
IF((KK.EQ.1).AND.(ZCODE(5).NE.0.0)) THEN
DO JE=1,IELEM
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
SG=1.0
DO KE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SG*SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SG*SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
SG=-SG
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DZ(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (ICNT-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (M-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(5))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DZ(M).LT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (ICNT-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (M-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
********** XNEK +
IF((KK.EQ.LZ).AND.(ZCODE(6).NE.0.0)) THEN
DO JE=1,IELEM
DO IE=1,IELEM
FHLF=0.0
FONE=0.0
DO KE=1,IELEM
INDSN=KEYFLX(IR)+(KE-1)*IELEM**2+(JE-1)*IELEM+IE-1
FHLF = FHLF+SQRT(REAL(2*IE-1))*FUNHLF(INDSN,IING)
FONE = FONE+SQRT(REAL(2*IE-1))*FUNKNO(INDSN,IING)
ENDDO
BHLF=0.0
BONE=0.0
TOTW=0.0
ICNT=0
DO M=1,NPQ
IF((DZ(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IF(ICNT.EQ.0) ICNT=M
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (ICNT-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (M-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
BHLF=BHLF + W(M)*FUNHLF(INDB,IING)*1.0*(ZCODE(6))
IF(FUNHLF(IND1,IING).NE.0.0)
> TOTW=TOTW+(W(M)*FUNHLF(INDB,IING)/FUNHLF(IND1,IING))
ENDIF
ENDDO
IF(FHLF.NE.0.0) BONE=FONE*(BHLF/FHLF)
DO M=1,NPQ
IF((DZ(M).GT.0.0).AND.(W(M).NE.0.0)) THEN
IND1=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (ICNT-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
INDB=LL4+ LY*LZ*NPQ*IELEM**2 + LX*LZ*NPQ*IELEM**2
> + (M-1)*LX*LY*IELEM**2 + (JJ-1)*LX*IELEM**2
> + (II-1)*IELEM**2 + (JE-1)*IELEM + IE
IF(FUNHLF(INDB,IING).EQ.0.0)THEN
FUNKNO(INDB,IING)=0.0
ELSE
IF(FUNHLF(IND1,IING).NE.0.0)THEN
FUNKNO(INDB,IING)= (BONE/TOTW)*
> FUNHLF(INDB,IING)/FUNHLF(IND1,IING)
ELSE
FUNKNO(INDB,IING)=FUNHLF(INDB,IING)
ENDIF
ENDIF
ENDIF
ENDDO
ENDDO
ENDDO
ENDIF
180 CONTINUE
181 CONTINUE
182 CONTINUE
ENDIF
*--------
* PRINT COMPLETE UNKNOWN VECTOR.
*--------
IF(IMPX.GT.4) THEN
WRITE(IUNOUT,700) IING
WRITE(IUNOUT,'(1P,4(5X,E15.7))') (FUNKNO(:,IING))
ENDIF
*
400 CONTINUE
*----
* RECUPERATE ORIGINAL KEYFLX FOR HEXAGONAL CASES
*----
IF((ITYPE.EQ.8).OR.(ITYPE.EQ.9))THEN
KEYFLX(1:NREG) = ORIKEY(1:NREG)
DEALLOCATE(ORIKEY)
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(SUNSA,FUNSA,FUNHLF)
RETURN
700 FORMAT(//40H SNDSA: A F T E R D S A C O R R. (,I5,3H ):)
END
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