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|
*DECK USSEXD
SUBROUTINE USSEXD(MAXNOR,CDOOR,IPLI0,IPTRK,IFTRAK,IMPX,NGRP,IG,
1 IASM,NBMIX,NREG,NUN,IPHASE,MAT,VOL,KEYFLX,IREX,SIGGAR,TITR,NIRES,
2 IRES,NBNRS,MRANK,CONR,GOLD,IPPT1,IPPT2,VOLMER,XFLUX,UNGAR)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Solution of the flux for the resonance spectrum expansion (RSE) method
* using the response matrix method. This is a non-iterative approach
* which is useful in exceptional cases where the fixed-point approach
* fails.
*
*Copyright:
* Copyright (C) 2024 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
* MAXNOR maximum order of the probability tables (RSE).
* CDOOR name of the geometry/solution operator.
* IPLI0 pointer to the internal microscopic cross section library
* builded by the self-shielding module.
* IPTRK pointer to the tracking (L_TRACK signature).
* IFTRAK file unit number used to store the tracks.
* IMPX print flag (equal to zero for no print).
* NGRP number of energy groups.
* IG index of energy group being processed.
* IASM offset of information computed by DOORAV or DOORPV.
* NBMIX number of mixtures in the internal library.
* NREG number of regions.
* NUN number of unknowns in the flux or source vector in one
* energy group and one band.
* IPHASE type of flux solution (=1 use a native flux solution door;
* =2 use collision probabilities).
* MAT index-number of the mixture type assigned to each volume.
* VOL volumes.
* KEYFLX pointers of fluxes in unknown vector.
* IREX fuel region index assigned to each mixture. Equal to zero
* in non-resonant mixtures or in mixtures not used.
* SIGGAR macroscopic x-s of the non-resonant isotopes in each mixture:
* (*,*,*,1) total; (*,*,*,2) transport correction;
* (*,*,*,3) P0 scattering.
* TITR title.
* NIRES exact number of correlated resonant isotopes.
* IRES index of the resonant isotope being processed.
* NBNRS number of correlated fuel regions.
* MRANK exact order of the probability table.
* CONR number density of the resonant isotopes.
* GOLD type of self-shielding model (=1.0 physical probability
* tables; =-1001.0 resonance spectrum expansion method).
* IPPT1 pointer to LCM directory of each resonant isotope.
* IPPT2 information related to each resonant isotope:
* IPPT2(:,1) index of a resonant region (used with infinite
* dilution case);
* IPPT2(:,2:4) alias name of resonant isotope.
* VOLMER volumes of the resonant and non-resonant regions.
*
*Parameters: input/output
* XFLUX subgroup flux.
*
*Parameters: output
* UNGAR averaged fluxes per volume.
*
*-----------------------------------------------------------------------
*
USE GANLIB
USE DOORS_MOD
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPLI0,IPTRK,IPPT1(NIRES)
INTEGER MAXNOR,IFTRAK,IMPX,NGRP,IG,IASM,NBMIX,NREG,NUN,IPHASE,
1 MAT(NREG),KEYFLX(NREG),IREX(NBMIX),NIRES,IRES,NBNRS,MRANK(NGRP),
2 IPPT2(NIRES,4)
REAL VOL(NREG),SIGGAR(NBMIX,0:NIRES,NGRP,3),CONR(NBNRS,NIRES),
1 GOLD(NIRES,NGRP),VOLMER(0:NBNRS),
2 XFLUX(NBNRS,MAXNOR,NGRP),UNGAR(NREG,NIRES,NGRP)
CHARACTER CDOOR*12,TITR*72
*----
* LOCAL VARIABLES
*----
TYPE(C_PTR) IPSYS,KPSYS,IPMACR,IPSOU,IPLIB,JPLIB1,KPLIB,IOFSET
DOUBLE PRECISION QQQ,SSS,T1
LOGICAL LEXAC,REBFLG
CHARACTER CBDPNM*12,TEXT12*12
TYPE VECTOR_ARRAY
DOUBLE PRECISION, POINTER, DIMENSION(:) :: VECTOR
END TYPE VECTOR_ARRAY
TYPE(VECTOR_ARRAY) :: WEIGHT_V,GAMMA_V
*----
* ALLOCATABLE ARRAYS
*----
TYPE(C_PTR), ALLOCATABLE, DIMENSION(:) :: JPLIB2
INTEGER, ALLOCATABLE, DIMENSION(:) :: NPSYS
INTEGER, ALLOCATABLE, DIMENSION(:,:) :: NJJ
REAL, ALLOCATABLE, DIMENSION(:) :: AWPHI,FUN,SUN,SIGG
REAL, ALLOCATABLE, DIMENSION(:,:) :: PAV
DOUBLE PRECISION, ALLOCATABLE, DIMENSION(:,:) :: MATRIX
TYPE MATRIX_ARRAY
DOUBLE PRECISION, POINTER, DIMENSION(:,:) :: MATRIX
END TYPE MATRIX_ARRAY
TYPE(MATRIX_ARRAY), ALLOCATABLE, DIMENSION(:,:) :: SCAT_M
*----
* STATEMENT FUNCTIONS
*----
INM(IND,IM,NBNRS)=(IM-1)*NBNRS+IND
*----
* SCRATCH STORAGE ALLOCATION
*----
MI=MRANK(IG)
ALLOCATE(NJJ(NGRP,NIRES))
ALLOCATE(PAV(0:NBNRS,0:NBNRS),AWPHI(0:NBNRS))
ALLOCATE(MATRIX(NBNRS*MI,NBNRS*MI+1))
ALLOCATE(JPLIB2(NIRES),SCAT_M(NGRP,NIRES),SIGG(0:NBMIX))
*----
* RECOVER RSE INFORMATION FROM MICROLIB
*----
IPLIB=IPPT1(IRES)
JPLIB1=LCMGID(IPLIB,'GROUP-RSE')
DO JRES=1,NIRES
WRITE(TEXT12,'(3A4)') (IPPT2(JRES,I),I=2,4)
CALL LCMSIX(IPLIB,TEXT12,1)
JPLIB2(JRES)=LCMGID(IPLIB,'SCAT_M') ! SCAT_M information
CALL LCMGET(IPLIB,'NJJS00',NJJ(:NGRP,JRES))
CALL LCMSIX(IPLIB,' ',2)
ENDDO
KPLIB=LCMGIL(JPLIB1,IG)
CALL LCMGPD(KPLIB,'WEIGHT_V',IOFSET)
CALL C_F_POINTER(IOFSET,WEIGHT_V%VECTOR,(/MI/))
CALL LCMGPD(KPLIB,'GAMMA_V',IOFSET)
CALL C_F_POINTER(IOFSET,GAMMA_V%VECTOR,(/MI/))
DO JRES=1,NIRES
IPOS=1
DO JG=1,IG-1
IPOS=IPOS+NJJ(JG,JRES)
ENDDO
DO JG=IG-NJJ(IG,JRES)+1,IG
MJ=MRANK(JG)
CALL LCMGPL(JPLIB2(JRES),IPOS+IG-JG,IOFSET)
CALL C_F_POINTER(IOFSET,SCAT_M(JG,JRES)%MATRIX,(/MI,MJ/))
ENDDO
ENDDO
*----
* RECOVER THE SPECIFIC DIRECTORY FOR IRES-TH RESONANT ISOTOPE.
*----
WRITE(CBDPNM,'(3HCOR,I4.4,1H/,I4.4)') IRES,NIRES
CALL LCMSIX(IPLI0,CBDPNM,1)
IPSYS=LCMGID(IPLI0,'ASSEMB-RSE')
CALL LCMSIX(IPLI0,' ',2)
*----
* COMPUTE THE AVERAGED COLLISION PROBABILITY MATRIX.
*----
ALLOCATE(NPSYS(MI*(NBNRS+1)))
ALLOCATE(FUN(NUN*MI*(NBNRS+1)),SUN(NUN*MI*(NBNRS+1)))
FUN(:NUN*MI*(NBNRS+1))=0.0
SUN(:NUN*MI*(NBNRS+1))=0.0
DO 50 IM=1,MI
DO 40 JNBN=0,NBNRS
NPSYS((IM-1)*(NBNRS+1)+JNBN+1)=IASM+IM
T1=0.0D0
DO 10 I=1,NREG
IBM=MAT(I)
IF(IBM.EQ.0) GO TO 10
IND=IREX(IBM)
IF((JNBN.EQ.0).AND.(IND.EQ.0)) THEN
SSS=SIGGAR(IBM,0,IG,3)*GAMMA_V%VECTOR(IM)
T1=T1+SSS*VOL(I)
ELSE IF(IND.EQ.JNBN) THEN
T1=T1+VOL(I)
ENDIF
10 CONTINUE
IOF=(IM-1)*NUN*(NBNRS+1)+JNBN*NUN
SIGG(0:NBMIX)=0.0
DO 20 IBM=1,NBMIX
IND=IREX(IBM)
IF((JNBN.EQ.0).AND.(IND.EQ.0)) THEN
SSS=SIGGAR(IBM,0,IG,3)*GAMMA_V%VECTOR(IM)
SIGG(IBM)=REAL(SSS,4)
ELSE IF(IND.EQ.JNBN) THEN
SIGG(IBM)=1.0
ENDIF
20 CONTINUE
CALL DOORS(CDOOR,IPTRK,NBMIX,0,NUN,SIGG,SUN(IOF+1))
DO 30 I=1,NUN
IF(T1.NE.0.0) SUN(IOF+I)=SUN(IOF+I)/REAL(T1,4)
30 CONTINUE
40 CONTINUE
50 CONTINUE
*----
* SOLVE FOR THE MULTIBAND FLUX.
*----
IDIR=0
NABS=MI*(NBNRS+1)
LEXAC=.FALSE.
IPMACR=C_NULL_PTR
IPSOU=C_NULL_PTR
REBFLG=.FALSE.
CALL DOORFV(CDOOR,IPSYS,NPSYS,IPTRK,IFTRAK,IMPX,NABS,NBMIX,
1 IDIR,NREG,NUN,IPHASE,LEXAC,MAT,VOL,KEYFLX,TITR,SUN,FUN,IPMACR,
2 IPSOU,REBFLG)
*----
* HOMOGENIZE THE MULTIBAND FLUX.
*----
DO 100 IM=1,MI
PAV(0:NBNRS,0:NBNRS)=0.0
DO 70 JNBN=0,NBNRS
DO 60 I=1,NREG
IBM=MAT(I)
IF(IBM.EQ.0) GO TO 60
IOF=(IM-1)*NUN*(NBNRS+1)+JNBN*NUN+KEYFLX(I)-1
PAV(IREX(IBM),JNBN)=PAV(IREX(IBM),JNBN)+FUN(IOF+1)*VOL(I)
60 CONTINUE
70 CONTINUE
DO 90 I=0,NBNRS
DO 80 J=0,NBNRS
IF(VOLMER(I).NE.0.0) PAV(I,J)=PAV(I,J)*VOLMER(J)/VOLMER(I)
80 CONTINUE
90 CONTINUE
KPSYS=LCMGIL(IPSYS,IASM+IM)
CALL LCMPUT(KPSYS,'DRAGON-PAV',(NBNRS+1)**2,2,PAV(0,0))
100 CONTINUE
DEALLOCATE(SUN,FUN,NPSYS)
*----
* RESPONSE MATRIX APPROACH. LOOP OVER THE SECONDARY SUBGROUPS.
*----
MATRIX(:NBNRS*MI,:NBNRS*MI+1)=0.0D0
DO 200 IM=1,MI
KPSYS=LCMGIL(IPSYS,IASM+IM)
CALL LCMGET(KPSYS,'DRAGON-PAV',PAV(0,0))
*----
* LOOP OVER THE PRIMARY SUBGROUPS. MI+1 IS THE SOURCE.
*----
DO 190 JM=1,MI+1
IF(JM.LE.MI) THEN
JNBMAX=NBNRS
ELSE
JNBMAX=1
ENDIF
DO 180 JNBN=1,JNBMAX
AWPHI(1:NBNRS)=0.0
DO 160 I=1,NREG
IBM=MAT(I)
IF(IBM.EQ.0) GO TO 160
JND=IREX(IBM)
QQQ=0.0D0
IF(JM.EQ.MI+1) THEN
QQQ=QQQ+SIGGAR(IBM,0,IG,3)*GAMMA_V%VECTOR(IM)
IF(JND.NE.0) THEN
DO 130 JRES=1,NIRES
DENSIT=CONR(JND,JRES)
DO 120 JG=IG-NJJ(IG,JRES)+1,IG-1
IF(GOLD(IRES,JG).NE.-1001.) CYCLE
DO 110 KM=1,MRANK(JG)
QQQ=QQQ+DENSIT*SCAT_M(JG,JRES)%MATRIX(IM,KM)*
1 XFLUX(JND,KM,JG)
110 CONTINUE
120 CONTINUE
130 CONTINUE
ENDIF
ELSE IF((JND.EQ.JNBN).AND.(JM.NE.IM)) THEN
DO 140 JRES=1,NIRES
DENSIT=CONR(JND,JRES)
IF(GOLD(IRES,IG).NE.-1001.) CYCLE
IF(JM.EQ.IM) CYCLE
QQQ=QQQ-DENSIT*SCAT_M(IG,JRES)%MATRIX(IM,JM)
140 CONTINUE
ENDIF
DO 150 IND=1,NBNRS
AWPHI(IND)=AWPHI(IND)+PAV(IND,JND)*REAL(QQQ,4)*VOL(I)/VOLMER(JND)
150 CONTINUE
160 CONTINUE
DO 170 IND=1,NBNRS
MATRIX(INM(IND,IM,NBNRS),INM(JNBN,JM,NBNRS))=AWPHI(IND)
170 CONTINUE
180 CONTINUE
190 CONTINUE
200 CONTINUE
*
DO 210 I=1,NBNRS*MI
MATRIX(I,I)=MATRIX(I,I)+1.0D0
210 CONTINUE
CALL ALSBD(NBNRS*MI,1,MATRIX,IER,NBNRS*MI)
IF(IER.NE.0) CALL XABORT('USSEXD: SINGULAR MATRIX.')
XFLUX(:NBNRS,:MAXNOR,IG)=0.0
DO 230 IND=1,NBNRS
DO 220 IM=1,MI
I1=INM(IND,IM,NBNRS)
XFLUX(IND,IM,IG)=REAL(MATRIX(I1,NBNRS*MI+1))
220 CONTINUE
230 CONTINUE
* END OF RESPONSE MATRIX APPROACH.
*----
* COMPUTE THE AVERAGED SOURCE.
*----
ALLOCATE(FUN(NUN*MI),SUN(NUN*MI))
SUN(:NUN*MI)=0.0
ALLOCATE(NPSYS(MI))
DO 250 IM=1,MI
NPSYS(IM)=IASM+IM
KPSYS=LCMGIL(IPSYS,IASM+IM)
CALL LCMLEN(KPSYS,'FUNKNO$USS',ILENG,ITYLCM)
IF(ILENG.EQ.NUN) THEN
CALL LCMGET(KPSYS,'FUNKNO$USS',FUN((IM-1)*NUN+1))
ELSE
FUN((IM-1)*NUN+1:IM*NUN)=0.0
ENDIF
SIGG(0:NBMIX)=0.0
DO 240 IBM=1,NBMIX
IND=IREX(IBM)
QQQ=SIGGAR(IBM,0,IG,3)*GAMMA_V%VECTOR(IM)
IF(IND.GT.0) THEN
DO JG=1,IG
DO JRES=1,NIRES
IF(GOLD(IRES,JG).NE.-1001.) CYCLE
IF(JG.LT.IG-NJJ(IG,JRES)+1) CYCLE
DENSIT=CONR(IND,JRES)
DO JM=1,MRANK(JG)
IF((JG.EQ.IG).AND.(JM.EQ.IM)) CYCLE
QQQ=QQQ+DENSIT*SCAT_M(JG,JRES)%MATRIX(IM,JM)*
1 XFLUX(IND,JM,JG)
ENDDO
ENDDO
ENDDO
ENDIF
SIGG(IBM)=REAL(QQQ,4)
240 CONTINUE
IOF=(IM-1)*NUN
CALL DOORS(CDOOR,IPTRK,NBMIX,0,NUN,SIGG,SUN(IOF+1))
250 CONTINUE
*
IF(IMPX.GT.0) THEN
WRITE(TEXT12,'(3A4)') (IPPT2(IRES,I),I=2,4)
WRITE(6,'(15H USSEXD: GROUP=,I5,24H. SUBGROUP CALCULATION B,
1 37HASED ON RESPONSE MATRICES. ISOTOPE='',A12,2H''.)') IG,
2 TEXT12
ENDIF
*----
* SOLVE FOR THE MULTIBAND FLUX (VECTOR OF LENGTH NREG).
*----
IPMACR=C_NULL_PTR
IPSOU=C_NULL_PTR
REBFLG=.FALSE.
CALL DOORFV(CDOOR,IPSYS,NPSYS,IPTRK,IFTRAK,IMPX,MI,NBMIX,IDIR,
1 NREG,NUN,IPHASE,LEXAC,MAT,VOL,KEYFLX,TITR,SUN,FUN,IPMACR,IPSOU,
2 REBFLG)
DEALLOCATE(NPSYS)
*----
* INTEGRATE THE REGION-ORDERED FLUX OVER SUBGROUPS AND COMPUTE UNGAR,
* THE REGION-ORDERED FLUX.
*----
UNGAR(:NREG,IRES,IG)=0.0
DO 270 IM=1,MI
KPSYS=LCMGIL(IPSYS,IASM+IM)
IOF=(IM-1)*NUN
CALL LCMPUT(KPSYS,'FUNKNO$USS',NUN,2,FUN(IOF+1))
*
DO 260 I=1,NREG
IOF=(IM-1)*NUN+KEYFLX(I)
UNGAR(I,IRES,IG)=UNGAR(I,IRES,IG)+REAL(WEIGHT_V%VECTOR(IM)*
1 FUN(IOF),4)
260 CONTINUE
270 CONTINUE
DEALLOCATE(SUN,FUN)
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(SIGG,SCAT_M,JPLIB2)
DEALLOCATE(MATRIX)
DEALLOCATE(AWPHI,PAV)
DEALLOCATE(NJJ)
RETURN
END
|
