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|
SUBROUTINE DOORS_BIV(IPTRK,NANIS,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
!
!-----------------------------------------------------------------------
!
!Purpose:
! Compute the source for the solution of diffusion or PN equations.
! Use a BIVAC tracking.
!
!Copyright:
! Copyright (C) 2025 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. Hebert
!
!Parameters: input
! IPTRK pointer to the tracking LCM object.
! NANIS maximum cross section Legendre order (=0: isotropic).
! NREG number of regions.
! NMAT number of mixtures.
! NUN number of unknowns per energy group including net current.
! MATCOD mixture indices.
! VOL volumes. Volumes are included in SUNKNO.
! SIGG cross section.
! FUNKNO optional unknown vector. If not present, a flat flux
! approximation is assumed.
!
!Parameters: input/output
! SUNKNO integrated sources.
!
!-----------------------------------------------------------------------
!
USE GANLIB
!----
! SUBROUTINE ARGUMENTS
!----
TYPE(C_PTR) IPTRK
INTEGER NANIS,NREG,NMAT,NUN,MATCOD(NREG)
REAL VOL(NREG),SIGG(0:NMAT,NANIS+1),SUNKNO(NUN)
REAL, OPTIONAL :: FUNKNO(NUN)
!----
! LOCAL VARIABLES
!----
PARAMETER(NSTATE=40)
INTEGER JPAR(NSTATE)
!----
! RECOVER BIVAC SPECIFIC PARAMETERS.
!----
CALL LCMGET(IPTRK,'STATE-VECTOR',JPAR)
IF(JPAR(1).NE.NREG) CALL XABORT('DOORS_BIV: INCONSISTENT NREG.')
IF(JPAR(2).NE.NUN) CALL XABORT('DOORS_BIV: INCONSISTENT NUN.')
ITYPE=JPAR(6)
IELEM=JPAR(8)
ICOL=JPAR(9)
NLF=JPAR(14)
IF((ITYPE.EQ.2).OR.(ITYPE.EQ.5)) THEN
! Cartesian 1D or 2D geometry
IF((IELEM.GT.0).AND.(ICOL.LE.3)) THEN
! Raviart-Thomas / diffusion or SPN
CALL DOORS_BIVGSO(IPTRK,NANIS,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
ELSE IF((IELEM.LT.0).AND.(NLF.EQ.0)) THEN
! Lagrange / diffusion
CALL DOORS_BIVFSO(IPTRK,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
ELSE
CALL XABORT('DOORS_BIV: DISCRETIZATION TYPE NOT AVAILABLE(1).')
ENDIF
ELSE IF(ITYPE.EQ.8) THEN
! Hexagonal 2D geometry
IF((IELEM.GT.0).AND.(ICOL.LE.3)) THEN
! Raviart-Thomas / diffusion or SPN
CALL DOORS_BIVGSO(IPTRK,NANIS,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
ELSE IF((IELEM.LT.0).AND.(NLF.EQ.0)) THEN
! Lagrange / diffusion
CALL DOORS_BIVFSH(IPTRK,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
ELSE
CALL XABORT('DOORS_BIV: DISCRETIZATION TYPE NOT AVAILABLE(2).')
ENDIF
ELSE
CALL XABORT('DOORS_BIV: GEOMETRY TYPE NOT AVAILABLE.')
ENDIF
RETURN
CONTAINS
SUBROUTINE DOORS_BIVFSO(IPTRK,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
!
!-----------------------------------------------------------------------
!
!Purpose:
! Source term calculation for finite element or mesh corner finite
! differences in Cartesian geometry.
!
!-----------------------------------------------------------------------
!
USE GANLIB
!----
! SUBROUTINE ARGUMENTS
!----
TYPE(C_PTR) IPTRK
INTEGER NREG,NMAT,NUN,MATCOD(NREG)
REAL VOL(NREG),SIGG(0:NMAT),SUNKNO(NUN)
REAL, OPTIONAL :: FUNKNO(NUN)
!----
! LOCAL VARIABLES
!----
PARAMETER(NSTATE=40)
INTEGER JPAR(NSTATE),IJ1(25),IJ2(25)
LOGICAL CYLIND
!----
! ALLOCATABLE ARRAYS
!----
INTEGER, ALLOCATABLE, DIMENSION(:) :: KN,IDL
REAL, ALLOCATABLE, DIMENSION(:) :: XX,DD,T,TS
REAL, ALLOCATABLE, DIMENSION(:,:) :: R,RS
!----
! RECOVER BIVAC SPECIFIC PARAMETERS.
!----
CALL LCMGET(IPTRK,'STATE-VECTOR',JPAR)
ITYPE=JPAR(6)
IELEM=JPAR(8)
ICOL=JPAR(9)
L4=JPAR(11)
LX=JPAR(12)
NLF=JPAR(14)
ISPN=JPAR(15)
ISCAT=JPAR(16)
CYLIND=(ITYPE.EQ.3).OR.(ITYPE.EQ.6)
IF(IELEM.GT.0) CALL XABORT('DOORS_BIVFSO: LAGRANGE METHOD EXPECTED.')
CALL LCMSIX(IPTRK,'BIVCOL',1)
CALL LCMLEN(IPTRK,'T',LC,ITYLCM)
ALLOCATE(R(LC,LC),RS(LC,LC),T(LC),TS(LC))
CALL LCMGET(IPTRK,'R',R)
CALL LCMGET(IPTRK,'RS',RS)
CALL LCMGET(IPTRK,'T',T)
CALL LCMGET(IPTRK,'TS',TS)
CALL LCMSIX(IPTRK,' ',2)
!
CALL LCMLEN(IPTRK,'KN',MAXKN,ITYLCM)
ALLOCATE(XX(NREG),DD(NREG),KN(MAXKN),IDL(NREG))
CALL LCMGET(IPTRK,'XX',XX)
CALL LCMGET(IPTRK,'DD',DD)
CALL LCMGET(IPTRK,'KN',KN)
CALL LCMGET(IPTRK,'KEYFLX',IDL)
!----
! COMPUTE VECTORS IJ1 AND IJ2
!----
LL=LC*LC
DO I=1,LL
IJ1(I)=1+MOD(I-1,LC)
IJ2(I)=1+(I-IJ1(I))/LC
ENDDO
!----
! COMPUTE THE SOURCE
!----
IF(PRESENT(FUNKNO)) THEN
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
IF(VOL(K).EQ.0.0) GO TO 10
DO I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) CYCLE
I1=IJ1(I)
I2=IJ2(I)
DO J=1,LL
IND2=KN(NUM1+J)
IF(IND2.EQ.0) CYCLE
IF(CYLIND) THEN
RR=(R(I1,IJ1(J))+RS(I1,IJ1(J))*XX(K)/DD(K))*R(I2,IJ2(J))*VOL(K)
ELSE
RR=R(I1,IJ1(J))*R(I2,IJ2(J))*VOL(K)
ENDIF
SUNKNO(IND1)=SUNKNO(IND1)+RR*FUNKNO(IND2)*SIGG(IBM)
ENDDO ! J
ENDDO ! I
10 NUM1=NUM1+LL
ENDDO ! K
ELSE
! Assume a flat flux
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
IF(VOL(K).EQ.0.0) GO TO 20
DO I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) CYCLE
IF(CYLIND) THEN
SS=(T(IJ1(I))+TS(IJ1(I))*XX(K)/DD(K))*T(IJ2(I))*VOL(K)
ELSE
SS=T(IJ1(I))*T(IJ2(I))*VOL(K)
ENDIF
SUNKNO(IND1)=SUNKNO(IND1)+SS*SIGG(IBM)
ENDDO ! I
20 NUM1=NUM1+LL
ENDDO ! K
ENDIF
!----
! APPEND THE INTEGRATED VOLUMIC SOURCES
!----
IF(PRESENT(FUNKNO)) THEN
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
SUNKNO(IDL(K))=SUNKNO(IDL(K))+FUNKNO(IDL(K))*VOL(K)*SIGG(IBM)
ENDDO
ELSE
! Assume a flat flux
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
SUNKNO(IDL(K))=SUNKNO(IDL(K))+VOL(K)*SIGG(IBM)
ENDDO
ENDIF
DEALLOCATE(IDL,KN,DD,XX)
DEALLOCATE(TS,T,RS,R)
RETURN
END SUBROUTINE DOORS_BIVFSO
!
SUBROUTINE DOORS_BIVGSO(IPTRK,NANIS,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
!
!-----------------------------------------------------------------------
!
!Purpose:
! Source term calculation for a mixed-dual formulation of the finite
! element technique in a 2-D Cartesian geometry.
!
!-----------------------------------------------------------------------
!
USE GANLIB
!----
! SUBROUTINE ARGUMENTS
!----
TYPE(C_PTR) IPTRK
INTEGER NANIS,NREG,NMAT,NUN,MATCOD(NREG)
REAL VOL(NREG),SIGG(0:NMAT,NANIS+1),SUNKNO(NUN)
REAL, OPTIONAL :: FUNKNO(NUN)
!----
! LOCAL VARIABLES
!----
PARAMETER(NSTATE=40)
INTEGER JPAR(NSTATE)
LOGICAL LHEX
!----
! ALLOCATABLE ARRAYS
!----
INTEGER, ALLOCATABLE, DIMENSION(:) :: KN,IPERT
REAL, ALLOCATABLE, DIMENSION(:,:) :: RR
!----
! RECOVER BIVAC SPECIFIC PARAMETERS.
!----
CALL LCMGET(IPTRK,'STATE-VECTOR',JPAR)
ITYPE=JPAR(6)
IELEM=JPAR(8)
ICOL=JPAR(9)
L4=JPAR(11)
LX=JPAR(12)
NLF=JPAR(14)
ISPN=JPAR(15)
ISCAT=JPAR(16)
LHEX=(ITYPE.EQ.8)
IF((IELEM.LT.0).OR.(ICOL.GT.3)) CALL XABORT('DOORS_BIVGSO: RAVIA' &
& //'RT-THOMAS METHOD EXPECTED.')
CALL LCMLEN(IPTRK,'KN',MAXKN,ITYLCM)
ALLOCATE(KN(MAXKN))
CALL LCMGET(IPTRK,'KN',KN)
NBLOS=0
SIDE=0.0
IF(LHEX) THEN
! Raviart-Thomas-Schneider method
NBLOS=LX/3
ALLOCATE(IPERT(NBLOS))
CALL LCMGET(IPTRK,'IPERT',IPERT)
CALL LCMGET(IPTRK,'SIDE',SIDE)
ENDIF
!----
! RECOVER THE FINITE ELEMENT UNIT STIFFNESS MATRIX.
!----
IF(NLF.GT.0) THEN
CALL LCMSIX(IPTRK,'BIVCOL',1)
CALL LCMLEN(IPTRK,'T',LC,ITYLCM)
ALLOCATE(RR(LC,LC))
CALL LCMGET(IPTRK,'R',RR)
CALL LCMSIX(IPTRK,' ',2)
ENDIF
!----
! COMPUTE THE SOURCE
!----
IF(NLF.EQ.0) THEN
!----
! CARTESIAN 2D DUAL (RAVIART-THOMAS) CASE.
!----
IF(PRESENT(FUNKNO).AND.(.NOT.LHEX)) THEN
NUM1=0
DO IR=1,NREG
IBM=MATCOD(IR)
IF(IBM.LE.0) CYCLE
IF(VOL(IR).EQ.0.0) GO TO 10
DO I0=1,IELEM*IELEM
IND=KN(NUM1+1)+I0-1
SUNKNO(IND)=SUNKNO(IND)+FUNKNO(IND)*VOL(IR)*SIGG(IBM,1)
ENDDO ! I0
10 NUM1=NUM1+5
ENDDO ! IR
ELSE IF(PRESENT(FUNKNO).AND.LHEX) THEN
TTTT=0.5*SQRT(3.0)*SIDE*SIDE
NUM1=0
DO KEL=1,NBLOS
IF(IPERT(KEL).EQ.0) CYCLE
NUM1=NUM1+1
IBM=MATCOD((IPERT(KEL)*3-1)+1)
IF(IBM.LE.0) CYCLE
GARS=SIGG(IBM,1)
DO K2=0,IELEM-1
DO K1=0,IELEM-1
JND1=KN(NUM1)+K2*IELEM+K1
JND2=KN(NBLOS+NUM1)+K2*IELEM+K1
JND3=KN(2*NBLOS+NUM1)+K2*IELEM+K1
SUNKNO(JND1)=SUNKNO(JND1)+FUNKNO(JND1)*TTTT*GARS
SUNKNO(JND2)=SUNKNO(JND2)+FUNKNO(JND2)*TTTT*GARS
SUNKNO(JND3)=SUNKNO(JND3)+FUNKNO(JND3)*TTTT*GARS
ENDDO ! K1
ENDDO ! K2
ENDDO ! KEL
ELSE IF((.NOT.PRESENT(FUNKNO)).AND.(.NOT.LHEX)) THEN
! a flat flux is assumed
NUM1=0
DO IR=1,NREG
IBM=MATCOD(IR)
IF(IBM.LE.0) CYCLE
IF(VOL(IR).EQ.0.0) GO TO 20
IND=KN(NUM1+1)
SUNKNO(IND)=SUNKNO(IND)+VOL(IR)*SIGG(IBM,1)
20 NUM1=NUM1+5
ENDDO ! IR
ELSE IF((.NOT.PRESENT(FUNKNO)).AND.LHEX) THEN
! a flat flux is assumed
TTTT=0.5*SQRT(3.0)*SIDE*SIDE
NUM1=0
DO KEL=1,NBLOS
IF(IPERT(KEL).EQ.0) CYCLE
NUM1=NUM1+1
IBM=MATCOD((IPERT(KEL)*3-1)+1)
IF(IBM.LE.0) CYCLE
JND1=KN(NUM1)
JND2=KN(NBLOS+NUM1)
JND3=KN(2*NBLOS+NUM1)
SUNKNO(JND1)=SUNKNO(JND1)+TTTT*SIGG(IBM,1)
SUNKNO(JND2)=SUNKNO(JND2)+TTTT*SIGG(IBM,1)
SUNKNO(JND3)=SUNKNO(JND3)+TTTT*SIGG(IBM,1)
ENDDO ! KEL
ENDIF
ELSE
!----
! CARTESIAN 2D SPN CASE.
!----
DO IL=0,MIN(ABS(ISCAT)-1,NANIS)
FACT=REAL(2*IL+1)
IF(PRESENT(FUNKNO)) THEN
NUM1=0
DO IR=1,NREG
IBM=MATCOD(IR)
IF(IBM.LE.0) CYCLE
IF(VOL(IR).EQ.0.0) GO TO 70
IF(MOD(IL,2).EQ.0) THEN
DO I0=1,IELEM*IELEM
IND=(IL/2)*L4+KN(NUM1+1)+I0-1
SUNKNO(IND)=SUNKNO(IND)+FACT*FUNKNO(IND)*VOL(IR)*SIGG(IBM,IL+1)
ENDDO ! I0
ELSE
DO I0=1,IELEM
DO 40 IC=1,2
IIC=1+(IC-1)*IELEM
IND1=(IL/2)*L4+ABS(KN(NUM1+1+IC))+I0-1
S1=REAL(SIGN(1,KN(NUM1+1+IC)))
DO 30 JC=1,2
JJC=1+(JC-1)*IELEM
IND2=(IL/2)*L4+ABS(KN(NUM1+1+JC))+I0-1
IF((KN(NUM1+1+IC).NE.0).AND.(KN(NUM1+1+JC).NE.0)) THEN
S2=REAL(SIGN(1,KN(NUM1+1+JC)))
AUXX=S1*S2*FACT*RR(IIC,JJC)*VOL(IR)
SUNKNO(IND1)=SUNKNO(IND1)-AUXX*FUNKNO(IND2)*SIGG(IBM,IL+1)
ENDIF
30 CONTINUE
40 CONTINUE
DO 60 IC=3,4
IIC=1+(IC-3)*IELEM
IND1=(IL/2)*L4+ABS(KN(NUM1+1+IC))+I0-1
S1=REAL(SIGN(1,KN(NUM1+1+IC)))
DO 50 JC=3,4
JJC=1+(JC-3)*IELEM
IND2=(IL/2)*L4+ABS(KN(NUM1+1+JC))+I0-1
IF((KN(NUM1+1+IC).NE.0).AND.(KN(NUM1+1+JC).NE.0)) THEN
S2=REAL(SIGN(1,KN(NUM1+1+JC)))
AUXX=S1*S2*FACT*RR(IIC,JJC)*VOL(IR)
SUNKNO(IND1)=SUNKNO(IND1)-AUXX*FUNKNO(IND2)*SIGG(IBM,IL+1)
ENDIF
50 CONTINUE
60 CONTINUE
ENDDO ! I0
ENDIF
70 NUM1=NUM1+5
ENDDO ! IR
ELSE
! a flat flux is assumed
NUM1=0
DO IR=1,NREG
IBM=MATCOD(IR)
IF(IBM.LE.0) CYCLE
IF(VOL(IR).EQ.0.0) GO TO 120
IF(MOD(IL,2).EQ.0) THEN
IND=(IL/2)*L4+KN(NUM1+1)
SUNKNO(IND)=SUNKNO(IND)+FACT*VOL(IR)*SIGG(IBM,IL+1)
ELSE
DO 90 IC=1,2
IIC=1+(IC-1)*IELEM
IND1=(IL/2)*L4+ABS(KN(NUM1+1+IC))
S1=REAL(SIGN(1,KN(NUM1+1+IC)))
DO 80 JC=1,2
JJC=1+(JC-1)*IELEM
IND2=(IL/2)*L4+ABS(KN(NUM1+1+JC))
IF((KN(NUM1+1+IC).NE.0).AND.(KN(NUM1+1+JC).NE.0)) THEN
S2=REAL(SIGN(1,KN(NUM1+1+JC)))
AUXX=S1*S2*FACT*RR(IIC,JJC)*VOL(IR)
SUNKNO(IND1)=SUNKNO(IND1)-AUXX*SIGG(IBM,IL+1)
ENDIF
80 CONTINUE
90 CONTINUE
DO 110 IC=3,4
IIC=1+(IC-3)*IELEM
IND1=(IL/2)*L4+ABS(KN(NUM1+1+IC))
S1=REAL(SIGN(1,KN(NUM1+1+IC)))
DO 100 JC=3,4
JJC=1+(JC-3)*IELEM
IND2=(IL/2)*L4+ABS(KN(NUM1+1+JC))
IF((KN(NUM1+1+IC).NE.0).AND.(KN(NUM1+1+JC).NE.0)) THEN
S2=REAL(SIGN(1,KN(NUM1+1+JC)))
AUXX=S1*S2*FACT*RR(IIC,JJC)*VOL(IR)
SUNKNO(IND1)=SUNKNO(IND1)-AUXX*SIGG(IBM,IL+1)
ENDIF
100 CONTINUE
110 CONTINUE
ENDIF
120 NUM1=NUM1+5
ENDDO ! IR
ENDIF
ENDDO ! IL
ENDIF
IF(LHEX) DEALLOCATE(IPERT)
IF(NLF.GT.0) DEALLOCATE(RR)
DEALLOCATE(KN)
RETURN
END SUBROUTINE DOORS_BIVGSO
!
SUBROUTINE DOORS_BIVFSH(IPTRK,NREG,NMAT,NUN,MATCOD,VOL,SIGG,SUNKNO,FUNKNO)
!
!-----------------------------------------------------------------------
!
!Purpose:
! Source term calculation for finite element or mesh corner finite
! differences in hexagonal geometry.
!
!-----------------------------------------------------------------------
!
USE GANLIB
!----
! SUBROUTINE ARGUMENTS
!----
TYPE(C_PTR) IPTRK
INTEGER NREG,NMAT,NUN,MATCOD(NREG)
REAL VOL(NREG),SIGG(0:NMAT),SUNKNO(NUN)
REAL, OPTIONAL :: FUNKNO(NUN)
!----
! LOCAL VARIABLES
!----
PARAMETER(NSTATE=40)
INTEGER JPAR(NSTATE)
INTEGER ISR(6,2),ISRH(6,2),ISRT(3,2)
REAL TH(6),RH2(6,6),RH(6,6),RT(3,3)
!----
! ALLOCATABLE ARRAYS
!----
INTEGER, ALLOCATABLE, DIMENSION(:) :: KN,IDL
REAL, ALLOCATABLE, DIMENSION(:) :: QFR
!----
! DATA STATEMENTS
!----
DATA ISRH/2,1,4,5,6,3,1,4,5,6,3,2/
DATA ISRT/1,2,3,2,3,1/
!----
! RECOVER BIVAC SPECIFIC PARAMETERS.
!----
CALL LCMGET(IPTRK,'STATE-VECTOR',JPAR)
ITYPE=JPAR(6)
IELEM=JPAR(8)
ISPLH=JPAR(10)
L4=JPAR(11)
LX=JPAR(12)
NLF=JPAR(14)
ISPN=JPAR(15)
ISCAT=JPAR(16)
IF(ISPLH.EQ.1) THEN
NELEM=MAXKN/7
ELSE
NELEM=MAXKN/4
ENDIF
IF(IELEM.GT.0) CALL XABORT('DOORS_BIVFSH: LAGRANGE METHOD EXPECTED.')
IF(NLF.GT.0) CALL XABORT('DOORS_BIVFSH: SPN NOT IMPLEMENTED.')
CALL LCMSIX(IPTRK,'BIVCOL',1)
CALL LCMGET(IPTRK,'RH',RH)
CALL LCMGET(IPTRK,'RT',RT)
CALL LCMSIX(IPTRK,' ',2)
!
CALL LCMLEN(IPTRK,'KN',MAXKN,ITYLCM)
CALL LCMLEN(IPTRK,'QFR',MAXQF,ITYLCM)
ALLOCATE(KN(MAXKN),QFR(MAXQF),IDL(NREG))
CALL LCMGET(IPTRK,'KN',KN)
CALL LCMGET(IPTRK,'QFR',QFR)
CALL LCMGET(IPTRK,'KEYFLX',IDL)
CALL LCMGET(IPTRK,'SIDE',SIDE)
IF(ISPLH.EQ.1) THEN
NELEM=MAXKN/7
ELSE
NELEM=MAXKN/4
ENDIF
!----
! RECOVER THE HEXAGONAL MASS (RH2) MATRICES.
!----
IF(ISPLH.EQ.1) THEN
! hexagonal basis
LH=6
DO I=1,6
DO J=1,2
ISR(I,J)=ISRH(I,J)
ENDDO ! J
ENDDO ! I
DO I=1,6
TH(I)=0.0
DO J=1,6
RH2(I,J)=RH(I,J)
TH(I)=TH(I)+RH(I,J)
ENDDO ! J
ENDDO ! I
CONST=1.5*SQRT(3.0)
AA=SIDE
ELSE
! triangular basis
LH=3
DO I=1,3
DO J=1,2
ISR(I,J)=ISRT(I,J)
ENDDO ! J
ENDDO ! I
DO I=1,3
TH(I)=0.0
DO J=1,3
RH2(I,J)=RT(I,J)
TH(I)=TH(I)+RT(I,J)
ENDDO ! J
ENDDO ! I
CONST=0.25*SQRT(3.0)
AA=SIDE/REAL(ISPLH-1)
ENDIF
!----
! COMPUTE THE SOURCE
!----
IF(PRESENT(FUNKNO)) THEN
NUM1=0
DO K=1,NELEM
KHEX=KN(NUM1+LH+1)
IF(VOL(KHEX).EQ.0.0) GO TO 10
IBM=MATCOD(KHEX)
VOL0=QFR(NUM1+LH+1)
GARS=SIGG(IBM)
DO I=1,LH
IND1=KN(NUM1+I)
IF(IND1.EQ.0) CYCLE
DO J=1,LH
IND2=KN(NUM1+J)
IF(IND2.EQ.0) CYCLE
SUNKNO(IND1)=SUNKNO(IND1)+RH2(I,J)*FUNKNO(IND2)*VOL0*GARS
ENDDO ! J
ENDDO ! I
10 NUM1=NUM1+LH+1
ENDDO ! K
ELSE
! Assume a flat flux
NUM1=0
DO K=1,NELEM
KHEX=KN(NUM1+LH+1)
IF(VOL(KHEX).EQ.0.0) GO TO 20
IBM=MATCOD(KHEX)
VOL0=QFR(NUM1+LH+1)
DO I=1,LH
IND1=KN(NUM1+I)
IF(IND1.NE.0) SUNKNO(IND1)=SUNKNO(IND1)+TH(I)*VOL0*SIGG(IBM)
ENDDO ! I
20 NUM1=NUM1+LH+1
ENDDO ! K
ENDIF
!----
! APPEND THE INTEGRATED VOLUMIC SOURCES
!----
IF(PRESENT(FUNKNO)) THEN
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
SUNKNO(IDL(K))=SUNKNO(IDL(K))+FUNKNO(IDL(K))*VOL(K)*SIGG(IBM)
ENDDO
ELSE
! Assume a flat flux
NUM1=0
DO K=1,NREG
IBM=MATCOD(K)
IF(IBM.LE.0) CYCLE
SUNKNO(IDL(K))=SUNKNO(IDL(K))+VOL(K)*SIGG(IBM)
ENDDO
ENDIF
DEALLOCATE(IDL,QFR,KN)
RETURN
END SUBROUTINE DOORS_BIVFSH
END SUBROUTINE DOORS_BIV
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