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|
*DECK FLDSPN
SUBROUTINE FLDSPN(NAMP,IPTRK,IPSYS,LL4,NBMIX,NAN,S1,F1,NADI)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Perform NADI inner iterations with the ADI preconditionning.
* Special version for Thomas-Raviart basis (simplified PN).
*
*Copyright:
* Copyright (C) 2005 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
* NAMP name of the ADI-splitted matrix.
* IPTRK L_TRACK pointer to the tracking information.
* IPSYS L_SYSTEM pointer to system matrices.
* LL4 order of the matrix.
* NBMIX total number of material mixtures in the macrolib.
* NAN number of Legendre orders in the cross sections.
* S1 source term of the linear system.
* F1 initial solution of the linear system.
* NADI number of inner ADI iterations.
*
*Parameters: output
* F1 solution of the linear system after NADI iterations.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
CHARACTER NAMP*(*)
TYPE(C_PTR) IPTRK,IPSYS
INTEGER LL4,NBMIX,NAN,NADI
REAL F1(LL4),S1(LL4)
*----
* LOCAL VARIABLES
*----
PARAMETER (NSTATE=40)
CHARACTER NAMT*12,TEXT12*12
INTEGER ITP(NSTATE)
LOGICAL LMUX,DIAG,CHEX
INTEGER, DIMENSION(:), ALLOCATABLE :: MAT,KN,IQFR
REAL, DIMENSION(:), ALLOCATABLE :: VOL,QFR,XX,YY,ZZ,DIFF,T,GAR,
1 FL,FW,FX,FY,FZ,GAMMA
REAL, DIMENSION(:,:), ALLOCATABLE :: SIGT,SIGTI,R,V
INTEGER C11W_LEN,C11X_LEN,C11Y_LEN,C11Z_LEN
INTEGER, DIMENSION(:), POINTER :: IPERT,IPBW,MUW,IPVW,NBLW,LBLW,
1 IPBX,MUX,IPVX,NBLX,LBLX,IPBY,MUY,IPVY,NBLY,LBLY,IPBZ,MUZ,IPVZ,
2 NBLZ,LBLZ
REAL, DIMENSION(:), POINTER :: TF,FRZ,BW,C11W,BX,C11X,BY,C11Y,BZ,
1 C11Z
DOUBLE PRECISION, DIMENSION(:), POINTER :: CTRAN
TYPE(C_PTR) TF_PTR,FRZ_PTR,IPERT_PTR,CTRAN_PTR,
1 BW_PTR,C11W_PTR,IPBW_PTR,MUW_PTR,IPVW_PTR,NBLW_PTR,LBLW_PTR,
2 BX_PTR,C11X_PTR,IPBX_PTR,MUX_PTR,IPVX_PTR,NBLX_PTR,LBLX_PTR,
3 BY_PTR,C11Y_PTR,IPBY_PTR,MUY_PTR,IPVY_PTR,NBLY_PTR,LBLY_PTR,
4 BZ_PTR,C11Z_PTR,IPBZ_PTR,MUZ_PTR,IPVZ_PTR,NBLZ_PTR,LBLZ_PTR
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(SIGT(NBMIX,NAN),SIGTI(NBMIX,NAN))
*----
* RECOVER PN SPECIFIC PARAMETERS.
*----
NAMT=NAMP
IF(NAMT(1:1).NE.'A') CALL XABORT('FLDSPN: ''A'' MATRIX EXPECTED.')
READ(NAMT,'(1X,2I3)') IGR,JGR
IF(IGR.NE.JGR) CALL XABORT('FLDSPN: INVALIB GROUP INDICES.')
CALL LCMGET(IPTRK,'STATE-VECTOR',ITP)
NREG=ITP(1)
NUN=ITP(2)
ITYPE=ITP(6)
IELEM=ITP(9)
ICOL=ITP(10)
L4=ITP(11)
LX=ITP(14)
LZ=ITP(16)
ISEG=ITP(17)
LTSW=ITP(19)
LL4F=ITP(25)
LL4W=ITP(26)
LL4X=ITP(27)
LL4Y=ITP(28)
LL4Z=ITP(29)
NLF=ITP(30)
NVD=ITP(34)
CHEX=(ITYPE.EQ.8).OR.(ITYPE.EQ.9)
IF(CHEX) THEN
IOFW=LL4F
IOFX=LL4F+LL4W
IOFY=LL4F+LL4W+LL4X
IOFZ=LL4F+LL4W+LL4X+LL4Y
IF(NUN.GT.(LX*LZ+L4)*NLF/2) CALL XABORT('FLDSPN: INVALID NUN '
1 //'OR L4.')
ELSE
IOFW=0
IOFX=LL4F
IOFY=LL4F+LL4X
IOFZ=LL4F+LL4X+LL4Y
IF(NUN.NE.L4*NLF/2) CALL XABORT('FLDSPN: INVALID NUN OR L4.')
ENDIF
IF(L4*NLF/2.NE.LL4) CALL XABORT('FLDSPN: INVALID L4 OR LL4.')
*----
* RECOVER TRACKING-RELATED INFORMATIONS
*----
ALLOCATE(MAT(NREG),VOL(NREG))
CALL LCMGET(IPTRK,'MATCOD',MAT)
CALL LCMGET(IPTRK,'VOLUME',VOL)
CALL LCMLEN(IPTRK,'KN',MAXKN,ITYLCM)
CALL LCMLEN(IPTRK,'QFR',MAXQF,ITYLCM)
ALLOCATE(KN(MAXKN),QFR(MAXQF),IQFR(MAXQF))
CALL LCMGET(IPTRK,'KN',KN)
CALL LCMGET(IPTRK,'QFR',QFR)
CALL LCMGET(IPTRK,'IQFR',IQFR)
IF(CHEX) THEN
CALL LCMGET(IPTRK,'SIDE',SIDE)
ELSE
ALLOCATE(XX(NREG),YY(NREG))
CALL LCMGET(IPTRK,'XX',XX)
CALL LCMGET(IPTRK,'YY',YY)
ENDIF
ALLOCATE(ZZ(NREG))
CALL LCMGET(IPTRK,'ZZ',ZZ)
*----
* PROCESS PHYSICAL ALBEDOS
*----
TEXT12='ALBEDO-FU'//NAMT(2:4)
CALL LCMLEN(IPSYS,TEXT12,NALBP,ITYLCM)
IF(NALBP.GT.0) THEN
ALLOCATE(GAMMA(NALBP))
CALL LCMGET(IPSYS,TEXT12,GAMMA)
DO IQW=1,MAXQF
IALB=IQFR(IQW)
IF(IALB.NE.0) QFR(IQW)=QFR(IQW)*GAMMA(IALB)
ENDDO
DEALLOCATE(GAMMA)
ENDIF
*----
* RECOVER THE CROSS SECTIONS.
*----
DO 10 IL=1,NAN
WRITE(TEXT12,'(4HSCAR,I2.2,A6)') IL-1,NAMT(2:7)
CALL LCMGET(IPSYS,TEXT12,SIGT(1,IL))
WRITE(TEXT12,'(4HSCAI,I2.2,A6)') IL-1,NAMT(2:7)
CALL LCMGET(IPSYS,TEXT12,SIGTI(1,IL))
10 CONTINUE
*----
* RECOVER THE FINITE ELEMENT UNIT STIFFNESS MATRIX.
*----
CALL LCMSIX(IPTRK,'BIVCOL',1)
CALL LCMLEN(IPTRK,'T',LC,ITYLCM)
ALLOCATE(R(LC,LC),V(LC,LC-1))
CALL LCMGET(IPTRK,'R',R)
CALL LCMGET(IPTRK,'V',V)
CALL LCMSIX(IPTRK,' ',2)
*----
* RECOVER INFORMATIONS RELATED TO SYSTEM MATRICES
*----
CALL LCMLEN(IPTRK,'MUX',IDUM,ITYLCM)
LMUX=(IDUM.NE.0).AND.(ITYLCM.EQ.1)
DIAG=(LL4Y.GT.0).AND.(.NOT.LMUX)
CALL LCMGPD(IPSYS,'TF'//NAMT,TF_PTR)
CALL C_F_POINTER(TF_PTR,TF,(/ LL4F*NLF/2 /))
*
NULLIFY(IPBW)
NULLIFY(IPVW)
NULLIFY(BW)
NULLIFY(C11W)
IF(LL4W.GT.0) THEN
NBLOS=LX*LZ/3
CALL LCMGPD(IPTRK,'CTRAN',CTRAN_PTR)
CALL LCMGPD(IPTRK,'IPERT',IPERT_PTR)
CALL LCMGPD(IPTRK,'FRZ',FRZ_PTR)
CALL C_F_POINTER(CTRAN_PTR,CTRAN,(/ ((IELEM+1)*IELEM)**2 /))
CALL C_F_POINTER(IPERT_PTR,IPERT,(/ NBLOS /))
CALL C_F_POINTER(FRZ_PTR,FRZ,(/ NBLOS /))
*
CALL LCMGPD(IPTRK,'IPBBW',IPBW_PTR)
CALL LCMLEN(IPSYS,'WB',LENWB,ITYL)
IF(LENWB.EQ.0) THEN
CALL LCMGPD(IPTRK,'WB',BW_PTR)
ELSE
CALL LCMGPD(IPSYS,'WB',BW_PTR)
ENDIF
CALL C_F_POINTER(IPBW_PTR,IPBW,(/ 2*IELEM*LL4W /))
CALL C_F_POINTER(BW_PTR,BW,(/ 2*IELEM*LL4W /))
CALL LCMLEN(IPSYS,'WI'//NAMT,C11W_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'WI'//NAMT,C11W_PTR)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A W-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUW',MUW_PTR)
CALL C_F_POINTER(MUW_PTR,MUW,(/ LL4W /))
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A W-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VW',LL4VW)
CALL LCMGPD(IPTRK,'MUVW',MUW_PTR)
CALL LCMGPD(IPTRK,'IPVW',IPVW_PTR)
CALL LCMLEN(IPTRK,'NBLW',LONW,ITYLCM)
CALL LCMGPD(IPTRK,'NBLW',NBLW_PTR)
CALL LCMGPD(IPTRK,'LBLW',LBLW_PTR)
CALL C_F_POINTER(MUW_PTR,MUW,(/ LL4VW/ISEG /))
CALL C_F_POINTER(IPVW_PTR,IPVW,(/ LL4W /))
CALL C_F_POINTER(NBLW_PTR,NBLW,(/ LONW /))
CALL C_F_POINTER(LBLW_PTR,LBLW,(/ LONW /))
ENDIF
CALL C_F_POINTER(C11W_PTR,C11W,(/ C11W_LEN /))
ENDIF
CALL LCMGPD(IPTRK,'IPBBX',IPBX_PTR)
CALL LCMLEN(IPSYS,'XB',LENXB,ITYL)
IF(LENXB.EQ.0) THEN
CALL LCMGPD(IPTRK,'XB',BX_PTR)
ELSE
CALL LCMGPD(IPSYS,'XB',BX_PTR)
ENDIF
CALL C_F_POINTER(IPBX_PTR,IPBX,(/ 2*IELEM*LL4X /))
CALL C_F_POINTER(BX_PTR,BX,(/ 2*IELEM*LL4X /))
NULLIFY(IPVX)
IF(DIAG) THEN
CALL LCMLEN(IPSYS,'YI'//NAMT,C11X_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'YI'//NAMT,C11X_PTR)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUY',MUX_PTR)
CALL C_F_POINTER(MUX_PTR,MUX,(/ LL4X /))
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VY',LL4VX)
CALL LCMGPD(IPTRK,'MUVY',MUX_PTR)
CALL LCMGPD(IPTRK,'IPVY',IPVX_PTR)
CALL LCMLEN(IPTRK,'NBLY',LONX,ITYLCM)
CALL LCMGPD(IPTRK,'NBLY',NBLX_PTR)
CALL LCMGPD(IPTRK,'LBLY',LBLX_PTR)
CALL C_F_POINTER(MUX_PTR,MUX,(/ LL4VX/ISEG /))
CALL C_F_POINTER(IPVX_PTR,IPVX,(/ LL4X /))
CALL C_F_POINTER(NBLX_PTR,NBLX,(/ LONX /))
CALL C_F_POINTER(LBLX_PTR,LBLX,(/ LONX /))
ENDIF
ELSE
CALL LCMLEN(IPSYS,'XI'//NAMT,C11X_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'XI'//NAMT,C11X_PTR)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUX',MUX_PTR)
CALL C_F_POINTER(MUX_PTR,MUX,(/ LL4X /))
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VX',LL4VX)
CALL LCMGPD(IPTRK,'MUVX',MUX_PTR)
CALL LCMGPD(IPTRK,'IPVX',IPVX_PTR)
CALL LCMLEN(IPTRK,'NBLX',LONX,ITYLCM)
CALL LCMGPD(IPTRK,'NBLX',NBLX_PTR)
CALL LCMGPD(IPTRK,'LBLX',LBLX_PTR)
CALL C_F_POINTER(MUX_PTR,MUX,(/ LL4VX/ISEG /))
CALL C_F_POINTER(IPVX_PTR,IPVX,(/ LL4X /))
CALL C_F_POINTER(NBLX_PTR,NBLX,(/ LONX /))
CALL C_F_POINTER(LBLX_PTR,LBLX,(/ LONX /))
ENDIF
ENDIF
CALL C_F_POINTER(C11X_PTR,C11X,(/ C11X_LEN /))
NULLIFY(IPBY)
NULLIFY(IPVY)
NULLIFY(BY)
NULLIFY(C11Y)
IF(LL4Y.GT.0) THEN
CALL LCMGPD(IPTRK,'IPBBY',IPBY_PTR)
CALL LCMLEN(IPSYS,'YB',LENYB,ITYL)
IF(LENYB.EQ.0) THEN
CALL LCMGPD(IPTRK,'YB',BY_PTR)
ELSE
CALL LCMGPD(IPSYS,'YB',BY_PTR)
ENDIF
CALL C_F_POINTER(IPBY_PTR,IPBY,(/ 2*IELEM*LL4Y /))
CALL C_F_POINTER(BY_PTR,BY,(/ 2*IELEM*LL4Y /))
CALL LCMLEN(IPSYS,'YI'//NAMT,C11Y_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'YI'//NAMT,C11Y_PTR)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUY',MUY_PTR)
CALL C_F_POINTER(MUY_PTR,MUY,(/ LL4Y /))
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VY',LL4VY)
CALL LCMGPD(IPTRK,'MUVY',MUY_PTR)
CALL LCMGPD(IPTRK,'IPVY',IPVY_PTR)
CALL LCMLEN(IPTRK,'NBLY',LONY,ITYLCM)
CALL LCMGPD(IPTRK,'NBLY',NBLY_PTR)
CALL LCMGPD(IPTRK,'LBLY',LBLY_PTR)
CALL C_F_POINTER(MUY_PTR,MUY,(/ LL4VY/ISEG /))
CALL C_F_POINTER(IPVY_PTR,IPVY,(/ LL4Y /))
CALL C_F_POINTER(NBLY_PTR,NBLY,(/ LONY /))
CALL C_F_POINTER(LBLY_PTR,LBLY,(/ LONY /))
ENDIF
CALL C_F_POINTER(C11Y_PTR,C11Y,(/ C11Y_LEN /))
ENDIF
NULLIFY(IPBZ)
NULLIFY(IPVZ)
NULLIFY(BZ)
NULLIFY(C11Z)
IF(LL4Z.GT.0) THEN
CALL LCMGPD(IPTRK,'IPBBZ',IPBZ_PTR)
CALL LCMLEN(IPSYS,'ZB',LENZB,ITYL)
IF(LENZB.EQ.0) THEN
CALL LCMGPD(IPTRK,'ZB',BZ_PTR)
ELSE
CALL LCMGPD(IPSYS,'ZB',BZ_PTR)
ENDIF
CALL C_F_POINTER(IPBZ_PTR,IPBZ,(/ 2*IELEM*LL4Z /))
CALL C_F_POINTER(BZ_PTR,BZ,(/ 2*IELEM*LL4Z /))
CALL LCMLEN(IPSYS,'ZI'//NAMT,C11Z_LEN,ITYLCM)
CALL LCMGPD(IPSYS,'ZI'//NAMT,C11Z_PTR)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
CALL LCMGPD(IPTRK,'MUZ',MUZ_PTR)
CALL C_F_POINTER(MUZ_PTR,MUZ,(/ LL4Z /))
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
CALL LCMGET(IPTRK,'LL4VZ',LL4VZ)
CALL LCMGPD(IPTRK,'MUVZ',MUZ_PTR)
CALL LCMGPD(IPTRK,'IPVZ',IPVZ_PTR)
CALL LCMLEN(IPTRK,'NBLZ',LONZ,ITYLCM)
CALL LCMGPD(IPTRK,'NBLZ',NBLZ_PTR)
CALL LCMGPD(IPTRK,'LBLZ',LBLZ_PTR)
CALL C_F_POINTER(MUZ_PTR,MUZ,(/ LL4VZ/ISEG /))
CALL C_F_POINTER(IPVZ_PTR,IPVZ,(/ LL4Z /))
CALL C_F_POINTER(NBLZ_PTR,NBLZ,(/ LONZ /))
CALL C_F_POINTER(LBLZ_PTR,LBLZ,(/ LONZ /))
ENDIF
CALL C_F_POINTER(C11Z_PTR,C11Z,(/ C11Z_LEN /))
ENDIF
IF(CHEX) THEN
NBLOS=LX*LZ/3
ALLOCATE(DIFF(NBLOS))
ENDIF
*----
* PERFORM ADI ITERATIONS AND LEGENDRE ORDER SWAPPING
*----
ALLOCATE(FL(LL4F),FX(LL4X))
IF(LL4W.GT.0) ALLOCATE(FW(LL4W))
IF(LL4Y.GT.0) ALLOCATE(FY(LL4Y))
IF(LL4Z.GT.0) ALLOCATE(FZ(LL4Z))
IF(ISEG.GT.0) ALLOCATE(T(ISEG))
DO 615 IADI=1,NADI
DO 610 IL=0,NLF-1
JOFF=(IL/2)*L4
IF(MOD(IL,2).EQ.0) THEN
DO 21 I0=1,LL4X
FX(I0)=F1(JOFF+IOFX+I0)
21 CONTINUE
DO 22 I0=1,LL4Y
FY(I0)=F1(JOFF+IOFY+I0)
22 CONTINUE
DO 23 I0=1,LL4Z
FZ(I0)=F1(JOFF+IOFZ+I0)
23 CONTINUE
ENDIF
IF(CHEX) THEN
NBLOS=LX*LZ/3
CALL PNFH3E(IL,NBMIX,NBLOS,IELEM,ICOL,NLF,NVD,NAN,L4,LL4F,
1 MAT,SIGTI,SIDE,ZZ,FRZ,QFR,IPERT,KN,LC,R,V,S1,F1)
ELSE
CALL PNFL3E(IL,NREG,IELEM,ICOL,XX,YY,ZZ,MAT,VOL,NBMIX,NLF,
1 NVD,NAN,SIGTI,L4,KN,QFR,LC,R,V,S1,F1)
ENDIF
IF(MOD(IL,2).EQ.1) THEN
*----
* RECOVER CROSS SECTIONS FOR THE PIOLAT TERMS.
*----
IF(CHEX) THEN
NBLOS=LX*LZ/3
FACT=REAL(2*IL+1)
DO 25 KEL=1,NBLOS
DIFF(KEL)=0.0
IF(IPERT(KEL).GT.0) THEN
IBM=MAT((IPERT(KEL)-1)*3+1)
IF(IBM.GT.0) THEN
GARS=SIGT(IBM,MIN(IL+1,NAN))
IOF=(IPERT(KEL)-1)*3+1
DIFF(KEL)=FACT*ZZ(IOF)*FRZ(KEL)*GARS
ENDIF
ENDIF
25 CONTINUE
ENDIF
*----
* W DIRECTION
*----
IF(LL4W.GT.0) THEN
NBLOS=LX*LZ/3
DO 30 I0=1,LL4F
FL(I0)=F1(JOFF+I0)
30 CONTINUE
DO 50 I0=1,LL4X
DO 40 J0=1,2*IELEM
JJ=IPBX((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 50
FL(JJ)=FL(JJ)-BX((I0-1)*2*IELEM+J0)*REAL(IL)*FX(I0)
40 CONTINUE
50 CONTINUE
DO 70 I0=1,LL4Y
DO 60 J0=1,2*IELEM
JJ=IPBY((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 70
FL(JJ)=FL(JJ)-BY((I0-1)*2*IELEM+J0)*REAL(IL)*FY(I0)
60 CONTINUE
70 CONTINUE
DO 90 I0=1,LL4Z
DO 80 J0=1,2*IELEM
JJ=IPBZ((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 90
FL(JJ)=FL(JJ)-BZ((I0-1)*2*IELEM+J0)*REAL(IL)*FZ(I0)
80 CONTINUE
90 CONTINUE
DO 115 I0=1,LL4W
GGW=-F1(JOFF+IOFW+I0)
DO 100 J0=1,2*IELEM
JJ=IPBW((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 110
GGW=GGW+BW((I0-1)*2*IELEM+J0)*REAL(IL)*
1 FL(JJ)/TF((IL/2)*LL4F+JJ)
100 CONTINUE
110 FW(I0)=GGW
115 CONTINUE
*
* PIOLAT TRANSFORM TERM.
CALL FLDPWY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
1 FY,FW)
CALL FLDPWX(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,FX,FW)
MUMAX=MUW(LL4W)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A W-ORIENTED LINEAR SYSTEM.
CALL ALLDLS(LL4W,MUW,C11W(1+(IL/2)*MUMAX),FW)
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A W-ORIENTED LINEAR SYSTEM.
ALLOCATE(GAR(LL4VW))
GAR(:LL4VW)=0.0
DO 120 I=1,LL4W
GAR(IPVW(I))=FW(I)
120 CONTINUE
CALL ALVDLS(LTSW,MUW,C11W(1+(IL/2)*MUMAX),GAR,ISEG,LONW,
1 NBLW,LBLW,T)
DO 130 I=1,LL4W
FW(I)=GAR(IPVW(I))
130 CONTINUE
DEALLOCATE(GAR)
ENDIF
ENDIF
*----
* X DIRECTION
*----
DO 140 I0=1,LL4F
FL(I0)=F1(JOFF+I0)
140 CONTINUE
DO 160 I0=1,LL4W
DO 150 J0=1,2*IELEM
JJ=IPBW((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 160
FL(JJ)=FL(JJ)-BW((I0-1)*2*IELEM+J0)*REAL(IL)*FW(I0)
150 CONTINUE
160 CONTINUE
DO 180 I0=1,LL4Y
DO 170 J0=1,2*IELEM
JJ=IPBY((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 180
FL(JJ)=FL(JJ)-BY((I0-1)*2*IELEM+J0)*REAL(IL)*FY(I0)
170 CONTINUE
180 CONTINUE
DO 200 I0=1,LL4Z
DO 190 J0=1,2*IELEM
JJ=IPBZ((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 200
FL(JJ)=FL(JJ)-BZ((I0-1)*2*IELEM+J0)*REAL(IL)*FZ(I0)
190 CONTINUE
200 CONTINUE
DO 225 I0=1,LL4X
GGX=-F1(JOFF+IOFX+I0)
DO 210 J0=1,2*IELEM
JJ=IPBX((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 220
GGX=GGX+BX((I0-1)*2*IELEM+J0)*REAL(IL)*FL(JJ)/
1 TF((IL/2)*LL4F+JJ)
210 CONTINUE
220 FX(I0)=GGX
225 CONTINUE
IF(LL4W.GT.0) THEN
* PIOLAT TRANSFORM TERM.
NBLOS=LX*LZ/3
CALL FLDPXW(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,FW,
1 FX)
CALL FLDPXY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,
1 DIFF,FY,FX)
ENDIF
MUMAX=MUX(LL4X)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
CALL ALLDLS(LL4X,MUX,C11X(1+(IL/2)*MUMAX),FX)
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A X-ORIENTED LINEAR SYSTEM.
ALLOCATE(GAR(LL4VX))
GAR(:LL4VX)=0.0
DO 230 I=1,LL4X
GAR(IPVX(I))=FX(I)
230 CONTINUE
CALL ALVDLS(LTSW,MUX,C11X(1+(IL/2)*MUMAX),GAR,ISEG,LONX,
1 NBLX,LBLX,T)
DO 240 I=1,LL4X
FX(I)=GAR(IPVX(I))
240 CONTINUE
DEALLOCATE(GAR)
ENDIF
*----
* Y DIRECTION
*----
IF(LL4Y.GT.0) THEN
DO 250 I0=1,LL4F
FL(I0)=F1(JOFF+I0)
250 CONTINUE
DO 270 I0=1,LL4W
DO 260 J0=1,2*IELEM
JJ=IPBW((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 270
FL(JJ)=FL(JJ)-BW((I0-1)*2*IELEM+J0)*REAL(IL)*FW(I0)
260 CONTINUE
270 CONTINUE
DO 290 I0=1,LL4X
DO 280 J0=1,2*IELEM
JJ=IPBX((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 290
FL(JJ)=FL(JJ)-BX((I0-1)*2*IELEM+J0)*REAL(IL)*FX(I0)
280 CONTINUE
290 CONTINUE
DO 310 I0=1,LL4Z
DO 300 J0=1,2*IELEM
JJ=IPBZ((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 310
FL(JJ)=FL(JJ)-BZ((I0-1)*2*IELEM+J0)*REAL(IL)*FZ(I0)
300 CONTINUE
310 CONTINUE
DO 335 I0=1,LL4Y
GGY=-F1(JOFF+IOFY+I0)
DO 320 J0=1,2*IELEM
JJ=IPBY((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 330
GGY=GGY+BY((I0-1)*2*IELEM+J0)*REAL(IL)*
1 FL(JJ)/TF((IL/2)*LL4F+JJ)
320 CONTINUE
330 FY(I0)=GGY
335 CONTINUE
IF(LL4W.GT.0) THEN
* PIOLAT TRANSFORM TERM.
NBLOS=LX*LZ/3
CALL FLDPYX(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,
1 DIFF,FX,FY)
CALL FLDPYW(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,
1 DIFF,FW,FY)
ENDIF
MUMAX=MUY(LL4Y)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
CALL ALLDLS(LL4Y,MUY,C11Y(1+(IL/2)*MUMAX),FY)
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A Y-ORIENTED LINEAR SYSTEM.
ALLOCATE(GAR(LL4VY))
GAR(:LL4VY)=0.0
DO 340 I=1,LL4Y
GAR(IPVY(I))=FY(I)
340 CONTINUE
CALL ALVDLS(LTSW,MUY,C11Y(1+(IL/2)*MUMAX),GAR,ISEG,LONY,
1 NBLY,LBLY,T)
DO 350 I=1,LL4Y
FY(I)=GAR(IPVY(I))
350 CONTINUE
DEALLOCATE(GAR)
ENDIF
ENDIF
*----
* Z DIRECTION
*----
IF(LL4Z.GT.0) THEN
DO 360 I0=1,LL4F
FL(I0)=F1(JOFF+I0)
360 CONTINUE
DO 380 I0=1,LL4W
DO 370 J0=1,2*IELEM
JJ=IPBW((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 380
FL(JJ)=FL(JJ)-BW((I0-1)*2*IELEM+J0)*REAL(IL)*FW(I0)
370 CONTINUE
380 CONTINUE
DO 400 I0=1,LL4X
DO 390 J0=1,2*IELEM
JJ=IPBX((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 400
FL(JJ)=FL(JJ)-BX((I0-1)*2*IELEM+J0)*REAL(IL)*FX(I0)
390 CONTINUE
400 CONTINUE
DO 420 I0=1,LL4Y
DO 410 J0=1,2*IELEM
JJ=IPBY((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 420
FL(JJ)=FL(JJ)-BY((I0-1)*2*IELEM+J0)*REAL(IL)*FY(I0)
410 CONTINUE
420 CONTINUE
DO 445 I0=1,LL4Z
GGZ=-F1(JOFF+IOFZ+I0)
DO 430 J0=1,2*IELEM
JJ=IPBZ((I0-1)*2*IELEM+J0)
IF(JJ.EQ.0) GO TO 440
GGZ=GGZ+BZ((I0-1)*2*IELEM+J0)*REAL(IL)*
1 FL(JJ)/TF((IL/2)*LL4F+JJ)
430 CONTINUE
440 FZ(I0)=GGZ
445 CONTINUE
MUMAX=MUZ(LL4Z)
IF(ISEG.EQ.0) THEN
* SCALAR SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
CALL ALLDLS(LL4Z,MUZ,C11Z(1+(IL/2)*MUMAX),FZ)
ELSE IF(ISEG.GT.0) THEN
* SUPERVECTORIAL SOLUTION FOR A Z-ORIENTED LINEAR SYSTEM.
ALLOCATE(GAR(LL4VZ))
GAR(:LL4VZ)=0.0
DO 450 I=1,LL4Z
GAR(IPVZ(I))=FZ(I)
450 CONTINUE
CALL ALVDLS(LTSW,MUZ,C11Z(1+(IL/2)*MUMAX),GAR,ISEG,LONZ,
1 NBLZ,LBLZ,T)
DO 460 I=1,LL4Z
FZ(I)=GAR(IPVZ(I))
460 CONTINUE
DEALLOCATE(GAR)
ENDIF
ENDIF
*----
* COMPUTE FLUX AND RECOVER CURRENTS
*----
DO 470 I0=1,LL4F
FL(I0)=F1(JOFF+I0)
470 CONTINUE
DO 490 J0=1,LL4W
DO 480 I0=1,2*IELEM
II=IPBW((J0-1)*2*IELEM+I0)
IF(II.EQ.0) GO TO 490
FL(II)=FL(II)-BW((J0-1)*2*IELEM+I0)*REAL(IL)*FW(J0)
480 CONTINUE
490 CONTINUE
DO 510 J0=1,LL4X
DO 500 I0=1,2*IELEM
II=IPBX((J0-1)*2*IELEM+I0)
IF(II.EQ.0) GO TO 510
FL(II)=FL(II)-BX((J0-1)*2*IELEM+I0)*REAL(IL)*FX(J0)
500 CONTINUE
510 CONTINUE
DO 530 J0=1,LL4Y
DO 520 I0=1,2*IELEM
II=IPBY((J0-1)*2*IELEM+I0)
IF(II.EQ.0) GO TO 530
FL(II)=FL(II)-BY((J0-1)*2*IELEM+I0)*REAL(IL)*FY(J0)
520 CONTINUE
530 CONTINUE
DO 550 J0=1,LL4Z
DO 540 I0=1,2*IELEM
II=IPBZ((J0-1)*2*IELEM+I0)
IF(II.EQ.0) GO TO 550
FL(II)=FL(II)-BZ((J0-1)*2*IELEM+I0)*REAL(IL)*FZ(J0)
540 CONTINUE
550 CONTINUE
DO 560 I0=1,LL4F
F1(JOFF+I0)=FL(I0)/TF((IL/2)*LL4F+I0)
560 CONTINUE
IF(LL4W.GT.0) THEN
DO 570 I0=1,LL4W
F1(JOFF+IOFW+I0)=FW(I0)
570 CONTINUE
ENDIF
DO 580 I0=1,LL4X
F1(JOFF+IOFX+I0)=FX(I0)
580 CONTINUE
IF(LL4Y.GT.0) THEN
DO 590 I0=1,LL4Y
F1(JOFF+IOFY+I0)=FY(I0)
590 CONTINUE
ENDIF
IF(LL4Z.GT.0) THEN
DO 600 I0=1,LL4Z
F1(JOFF+IOFZ+I0)=FZ(I0)
600 CONTINUE
ENDIF
ENDIF
610 CONTINUE
615 CONTINUE
IF(ISEG.GT.0) DEALLOCATE(T)
DEALLOCATE(FL,FX)
IF(LL4W.GT.0) DEALLOCATE(FW)
IF(LL4Y.GT.0) DEALLOCATE(FY)
IF(LL4Z.GT.0) DEALLOCATE(FZ)
IF(.NOT.CHEX) DEALLOCATE(YY,XX)
DEALLOCATE(V,R,ZZ,IQFR,QFR,KN,VOL,MAT)
IF(CHEX) DEALLOCATE(DIFF)
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(SIGT,SIGTI)
RETURN
END
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