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*DECK TRIDXX
SUBROUTINE TRIDXX(NBMIX,CYLIND,IELEM,ICOL,NEL,LL4F,LL4X,MAT,VOL,
1 XX,YY,ZZ,DD,KN,QFR,SGD,XSGD,MUX,IPBBX,LC,R,V,BBX,TTF,AX,C11X)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of system matrices for a Thomas-Raviart (dual) finite element
* method in Cartesian 3-D diffusion approximation.
* Note: system matrices should be initialized by the calling program.
*
*Copyright:
* Copyright (C) 2002 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
* NBMIX number of mixtures.
* CYLIND cylindrical geometry flag (set with CYLIND=.true.).
* IELEM degree of the Lagrangian finite elements: =1 (linear);
* =2 (parabolic); =3 (cubic).
* ICOL type of quadrature: =1 (analytical integration);
* =2 (Gauss-Lobatto); =3 (Gauss-Legendre).
* NEL total number of finite elements.
* LL4F number of flux components.
* LL4X number of X-directed currents.
* LL4Y number of Y-directed currents.
* LL4Z number of Z-directed currents.
* MAT mixture index assigned to each element.
* VOL volume of each element.
* XX X-directed mesh spacings.
* YY Y-directed mesh spacings.
* ZZ Z-directed mesh spacings.
* DD used with cylindrical geometry.
* KN element-ordered unknown list.
* QFR element-ordered boundary conditions.
* SGD nuclear properties by material mixture:
* SGD(L,1)= X-oriented diffusion coefficients;
* SGD(L,2)= Y-oriented diffusion coefficients;
* SGD(L,3)= Z-oriented diffusion coefficients;
* SGD(L,4)= removal macroscopic cross section.
* XSGD one over nuclear properties.
* MUX X-directed compressed storage mode indices.
* MUY Y-directed compressed storage mode indices.
* MUZ Z-directed compressed storage mode indices.
* IPBBX X-directed perdue storage indices.
* IPBBY Y-directed perdue storage indices.
* IPBBZ Z-directed perdue storage indices.
* LC order of the unit matrices.
* R unit matrix.
* V unit matrix.
* BBX X-directed flux-current matrices.
* BBY Y-directed flux-current matrices.
* BBZ Z-directed flux-current matrices.
*
*Parameters: output
* TTF flux-flux matrices.
* AX X-directed main current-current matrices. Dimensionned to
* MUX(LL4X).
* AY Y-directed main current-current matrices. Dimensionned to
* MUY(LL4Y).
* AZ Z-directed main current-current matrices. Dimensionned to
* MUZ(LL4Z).
* C11X X-directed main current-current matrices to be factorized.
* Dimensionned to MUX(LL4X).
* C11Y Y-directed main current-current matrices to be factorized.
* Dimensionned to MUY(LL4Y).
* C11Z Z-directed main current-current matrices to be factorized.
* Dimensionned to MUZ(LL4Z).
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NBMIX,IELEM,ICOL,NEL,LL4F,LL4X,MAT(NEL),
1 KN(NEL*(1+6*IELEM**2)),MUX(LL4X),IPBBX(2*IELEM,LL4X),LC
REAL VOL(NEL),XX(NEL),YY(NEL),ZZ(NEL),DD(NEL),QFR(6*NEL),
1 SGD(NBMIX,4),XSGD(NBMIX,4),R(LC,LC),V(LC,LC-1),TTF(LL4F),
2 BBX(2*IELEM,LL4X),AX(*),C11X(*)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION FFF
REAL QQ(5,5)
*----
* X-ORIENTED COUPLINGS
*----
IF((CYLIND).AND.((IELEM.GT.1).OR.(ICOL.NE.2)))
1 CALL XABORT('TRIDXX: TYPE OF DISCRETIZATION NOT IMPLEMENTED.')
DO 25 I0=1,IELEM
DO 20 J0=1,IELEM
FFF=0.0D0
DO 10 K0=2,IELEM
FFF=FFF+V(K0,I0)*V(K0,J0)/R(K0,K0)
10 CONTINUE
IF(ABS(FFF).LE.1.0E-6) FFF=0.0D0
QQ(I0,J0)=REAL(FFF)
20 CONTINUE
25 CONTINUE
*
NUM1=0
NUM2=0
DO 60 IE=1,NEL
L=MAT(IE)
IF(L.EQ.0) GO TO 60
VOL0=VOL(IE)
IF(VOL0.EQ.0.0) GO TO 50
DX=XX(IE)
DY=YY(IE)
DZ=ZZ(IE)
IF(CYLIND) THEN
DIN=1.0-0.5*DX/DD(IE)
DOT=1.0+0.5*DX/DD(IE)
ELSE
DIN=1.0
DOT=1.0
ENDIF
*
DO 45 K3=0,IELEM-1
DO 40 K2=0,IELEM-1
KN1=KN(NUM1+2+K3*IELEM+K2)
KN2=KN(NUM1+2+IELEM**2+K3*IELEM+K2)
INX1=ABS(KN1)-LL4F
INX2=ABS(KN2)-LL4F
DO 30 K1=0,IELEM-1
JND1=KN(NUM1+1)+(K3*IELEM+K2)*IELEM+K1
TTF(JND1)=TTF(JND1)+VOL0*SGD(L,4)+VOL0*QQ(K1+1,K1+1)*SGD(L,1)/
1 (DX*DX)
TTF(JND1)=TTF(JND1)+VOL0*QQ(K2+1,K2+1)*SGD(L,2)/(DY*DY)
TTF(JND1)=TTF(JND1)+VOL0*QQ(K3+1,K3+1)*SGD(L,3)/(DZ*DZ)
30 CONTINUE
IF(KN1.NE.0) THEN
KEY=MUX(INX1)
AX(KEY)=AX(KEY)-DIN*(VOL0*R(1,1)*XSGD(L,1)+QFR(NUM2+1))
ENDIF
IF(KN2.NE.0) THEN
KEY=MUX(INX2)
AX(KEY)=AX(KEY)-DOT*(VOL0*R(IELEM+1,IELEM+1)*XSGD(L,1)
1 +QFR(NUM2+2))
ENDIF
IF((ICOL.NE.2).AND.(KN1.NE.0).AND.(KN2.NE.0)) THEN
IF(INX2.GT.INX1) KEY=MUX(INX2)-INX2+INX1
IF(INX2.LE.INX1) KEY=MUX(INX1)-INX1+INX2
SG=REAL(SIGN(1,KN1)*SIGN(1,KN2))
IF(INX1.EQ.INX2) SG=2.0*SG
AX(KEY)=AX(KEY)-SG*VOL0*R(IELEM+1,1)*XSGD(L,1)
ENDIF
40 CONTINUE
45 CONTINUE
50 NUM1=NUM1+1+6*IELEM**2
NUM2=NUM2+6
60 CONTINUE
*
DO 121 I0=1,MUX(LL4X)
C11X(I0)=-AX(I0)
121 CONTINUE
MUIM1=0
DO 716 I=1,LL4X
MUI=MUX(I)
DO 715 J=I-(MUI-MUIM1)+1,I
KEY=MUI-I+J
DO 714 I0=1,2*IELEM
II=IPBBX(I0,I)
IF(II.EQ.0) GO TO 715
DO 713 J0=1,2*IELEM
JJ=IPBBX(J0,J)
IF(II.EQ.JJ) C11X(KEY)=C11X(KEY)+BBX(I0,I)*BBX(J0,J)/TTF(II)
713 CONTINUE
714 CONTINUE
715 CONTINUE
MUIM1=MUI
716 CONTINUE
RETURN
END
*
SUBROUTINE TRIDXY(NBMIX,IELEM,ICOL,NEL,LL4F,LL4X,LL4Y,MAT,VOL,YY,
1 KN,QFR,XSGD,MUY,IPBBY,LC,R,BBY,TTF,AY,C11Y)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NBMIX,IELEM,ICOL,NEL,LL4F,LL4X,LL4Y,MAT(NEL),
1 KN(NEL*(1+6*IELEM**2)),MUY(LL4Y),IPBBY(2*IELEM,LL4Y),LC
REAL VOL(NEL),YY(NEL),QFR(6*NEL),XSGD(NBMIX,4),R(LC,LC),TTF(LL4F),
1 BBY(2*IELEM,LL4Y),AY(*),C11Y(*)
*----
* Y-ORIENTED COUPLINGS
*----
NUM1=0
NUM2=0
DO 240 IE=1,NEL
L=MAT(IE)
IF(L.EQ.0) GO TO 240
VOL0=VOL(IE)
IF(VOL0.EQ.0.0) GO TO 230
DY=YY(IE)
*
DO 195 K3=0,IELEM-1
DO 190 K1=0,IELEM-1
KN1=KN(NUM1+2+2*IELEM**2+K3*IELEM+K1)
KN2=KN(NUM1+2+3*IELEM**2+K3*IELEM+K1)
INY1=ABS(KN1)-LL4F-LL4X
INY2=ABS(KN2)-LL4F-LL4X
IF(KN1.NE.0) THEN
KEY=MUY(INY1)
AY(KEY)=AY(KEY)-VOL0*R(1,1)*XSGD(L,2)-QFR(NUM2+3)
ENDIF
IF(KN2.NE.0) THEN
KEY=MUY(INY2)
AY(KEY)=AY(KEY)-VOL0*R(IELEM+1,IELEM+1)*XSGD(L,2)
1 -QFR(NUM2+4)
ENDIF
IF((ICOL.NE.2).AND.(KN1.NE.0).AND.(KN2.NE.0)) THEN
IF(INY2.GT.INY1) KEY=MUY(INY2)-INY2+INY1
IF(INY2.LE.INY1) KEY=MUY(INY1)-INY1+INY2
SG=REAL(SIGN(1,KN1)*SIGN(1,KN2))
IF(INY1.EQ.INY2) SG=2.0*SG
AY(KEY)=AY(KEY)-SG*VOL0*R(IELEM+1,1)*XSGD(L,2)
ENDIF
190 CONTINUE
195 CONTINUE
230 NUM1=NUM1+1+6*IELEM**2
NUM2=NUM2+6
240 CONTINUE
*
DO 212 I0=1,MUY(LL4Y)
C11Y(I0)=-AY(I0)
212 CONTINUE
MUIM1=0
DO 216 I=1,LL4Y
MUI=MUY(I)
DO 215 J=I-(MUI-MUIM1)+1,I
KEY=MUI-I+J
DO 214 I0=1,2*IELEM
II=IPBBY(I0,I)
IF(II.EQ.0) GO TO 215
DO 213 J0=1,2*IELEM
JJ=IPBBY(J0,J)
IF(II.EQ.JJ) C11Y(KEY)=C11Y(KEY)+BBY(I0,I)*BBY(J0,J)/TTF(II)
213 CONTINUE
214 CONTINUE
215 CONTINUE
MUIM1=MUI
216 CONTINUE
RETURN
END
*
SUBROUTINE TRIDXZ(NBMIX,IELEM,ICOL,NEL,LL4F,LL4X,LL4Y,LL4Z,MAT,
1 VOL,ZZ,KN,QFR,XSGD,MUZ,IPBBZ,LC,R,BBZ,TTF,AZ,C11Z)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NBMIX,IELEM,ICOL,NEL,LL4F,LL4X,LL4Y,LL4Z,MAT(NEL),
1 KN(NEL*(1+6*IELEM**2)),MUZ(LL4Z),IPBBZ(2*IELEM,LL4Z),LC
REAL VOL(NEL),ZZ(NEL),QFR(6*NEL),XSGD(NBMIX,4),R(LC,LC),TTF(LL4F),
1 BBZ(2*IELEM,LL4Z),AZ(*),C11Z(*)
*----
* Z-ORIENTED COUPLINGS
*----
NUM1=0
NUM2=0
DO 340 IE=1,NEL
L=MAT(IE)
IF(L.EQ.0) GO TO 340
VOL0=VOL(IE)
IF(VOL0.EQ.0.0) GO TO 330
DZ=ZZ(IE)
*
DO 295 K2=0,IELEM-1
DO 290 K1=0,IELEM-1
KN1=KN(NUM1+2+4*IELEM**2+K2*IELEM+K1)
KN2=KN(NUM1+2+5*IELEM**2+K2*IELEM+K1)
INZ1=ABS(KN1)-LL4F-LL4X-LL4Y
INZ2=ABS(KN2)-LL4F-LL4X-LL4Y
IF(KN1.NE.0) THEN
KEY=MUZ(INZ1)
AZ(KEY)=AZ(KEY)-VOL0*R(1,1)*XSGD(L,3)-QFR(NUM2+5)
ENDIF
IF(KN2.NE.0) THEN
KEY=MUZ(INZ2)
AZ(KEY)=AZ(KEY)-VOL0*R(IELEM+1,IELEM+1)*XSGD(L,3)
1 -QFR(NUM2+6)
ENDIF
IF((ICOL.NE.2).AND.(KN1.NE.0).AND.(KN2.NE.0)) THEN
IF(INZ2.GT.INZ1) KEY=MUZ(INZ2)-INZ2+INZ1
IF(INZ2.LE.INZ1) KEY=MUZ(INZ1)-INZ1+INZ2
SG=REAL(SIGN(1,KN1)*SIGN(1,KN2))
IF(INZ1.EQ.INZ2) SG=2.0*SG
AZ(KEY)=AZ(KEY)-SG*VOL0*R(IELEM+1,1)*XSGD(L,3)
ENDIF
290 CONTINUE
295 CONTINUE
330 NUM1=NUM1+1+6*IELEM**2
NUM2=NUM2+6
340 CONTINUE
*
DO 312 I0=1,MUZ(LL4Z)
C11Z(I0)=-AZ(I0)
312 CONTINUE
MUIM1=0
DO 316 I=1,LL4Z
MUI=MUZ(I)
DO 315 J=I-(MUI-MUIM1)+1,I
KEY=MUI-I+J
DO 314 I0=1,2*IELEM
II=IPBBZ(I0,I)
IF(II.EQ.0) GO TO 315
DO 313 J0=1,2*IELEM
JJ=IPBBZ(J0,J)
IF(II.EQ.JJ) C11Z(KEY)=C11Z(KEY)+BBZ(I0,I)*BBZ(J0,J)/TTF(II)
313 CONTINUE
314 CONTINUE
315 CONTINUE
MUIM1=MUI
316 CONTINUE
RETURN
END
|
