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*DECK TRIPXX
SUBROUTINE TRIPXX (IR,MAXKN,NEL,LL4,VOL,MAT,XSGD,XX,YY,ZZ,DD,KN,
1 QFR,MUX,IPX,CYLIND,LC,T,TS,Q,QS,A11X)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of system matrices for a primal finite element method in 3-D.
*
*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
* IR first dimension for matrix SGD.
* MAXKN first dimension for matrix KN.
* NEL total number of finite elements.
* LL4 order of system matrices.
* 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 values used with a cylindrical geometry.
* KN element-ordered unknown list.
* QFR element-ordered boundary conditions.
* XSGD nuclear properties, derivatives or first variations of
* nuclear properties per material mixture:
* XSGD(L,1): X-oriented diffusion coefficients;
* XSGD(L,2): Y-oriented diffusion coefficients;
* XSGD(L,3): Z-oriented diffusion coefficients;
* XSGD(L,4): removal macroscopic cross section.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IPX X-oriented permutation matrices.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
* CYLIND cylinderization flag (=.true. for cylindrical geometry).
* LC order of the unit matrices.
* T cartesian linear product vector.
* TS cylindrical linear product vector.
* Q cartesian stiffness matrix.
* QS cylindrical stiffness matrix.
*
*Parameters: output
* A11X X-oriented matrix corresponding to the divergence (i.e
* leakage) and removal terms (should be initialized by the
* calling program).
* A11Y Y-oriented matrix corresponding to the divergence (i.e
* leakage) and removal terms (should be initialized by the
* calling program).
* A11Z Z-oriented matrix corresponding to the divergence (i.e
* leakage) and removal terms (should be initialized by the
* calling program).
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IR,MAXKN,NEL,LL4,MAT(NEL),KN(MAXKN),MUX(LL4),IPX(LL4),LC
REAL VOL(NEL),XSGD(IR,4),XX(NEL),YY(NEL),ZZ(NEL),DD(NEL),
1 QFR(6*NEL),T(LC),TS(LC),Q(LC,LC),QS(LC,LC),A11X(*)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION VAR1,VOL1,VOL2,VOL3,QQX,QQY,QQZ
COMMON /ELEM2/LL,LCC,IJ1(125),IJ2(125),IJ3(125),ISR(6,25),
1 Q3DP1(125,125),Q3DP2(125,125),Q3DP3(125,125),R3DP(125),
2 Q3DC1(125,125),Q3DC2(125,125),Q3DC3(125,125),R3DC(125),
3 R2DP(25),R2DC(25)
*----
* X-DIRECTED COUPLINGS.
*
* ASSEMBLY OF MATRIX A11X.
*----
CALL TRIPMA(LC,T,TS,Q,QS)
NUM1=0
NUM2=0
DO 90 K=1,NEL
L=MAT(K)
IF(L.EQ.0) GO TO 90
VOL0=VOL(K)
IF(VOL0.EQ.0.0) GO TO 80
DX=XX(K)
DY=YY(K)
DZ=ZZ(K)
VOL1=VOL0/(DX*DX)
VOL2=VOL0/(DY*DY)
VOL3=VOL0/(DZ*DZ)
DO 50 I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 50
INX1=IPX(IND1)
KEY0=MUX(INX1)
IF(CYLIND) THEN
RR=(R3DP(I)+R3DC(I)*DX/DD(K))*VOL0
ELSE
RR=R3DP(I)*VOL0
ENDIF
A11X(KEY0)=A11X(KEY0)+RR*XSGD(L,4)
KEY0=KEY0-INX1
DO 40 J=1,LL
IND2=KN(NUM1+J)
IF(IND2.EQ.0) GO TO 40
INX2=IPX(IND2)
IF(INX2.EQ.INX1) THEN
IF(CYLIND) THEN
QQX=(Q3DP1(I,J)+Q3DC1(I,J)*DX/DD(K))*VOL1
QQY=(Q3DP2(I,J)+Q3DC2(I,J)*DX/DD(K))*VOL2
QQZ=(Q3DP3(I,J)+Q3DC3(I,J)*DX/DD(K))*VOL3
ELSE
QQX=Q3DP1(I,J)*VOL1
QQY=Q3DP2(I,J)*VOL2
QQZ=Q3DP3(I,J)*VOL3
ENDIF
KEY=KEY0+INX2
VAR1=QQX*XSGD(L,1)+QQY*XSGD(L,2)+QQZ*XSGD(L,3)
A11X(KEY)=REAL(A11X(KEY)+VAR1)
ELSE IF((INX2.LT.INX1).AND.(IJ2(I).EQ.IJ2(J)).AND.
1 (IJ3(I).EQ.IJ3(J))) THEN
IF(CYLIND) THEN
QQX=(Q3DP1(I,J)+Q3DC1(I,J)*DX/DD(K))*VOL1
ELSE
QQX=Q3DP1(I,J)*VOL1
ENDIF
KEY=KEY0+INX2
A11X(KEY)=REAL(A11X(KEY)+QQX*XSGD(L,1))
ENDIF
40 CONTINUE
50 CONTINUE
DO 70 IC=1,6
QFR1=QFR(NUM2+IC)
IF(QFR1.EQ.0.0) GO TO 70
DO 60 I1=1,LCC
I=ISR(IC,I1)
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 60
INX1=IPX(IND1)
KEY=MUX(INX1)
IF(CYLIND) THEN
IF(IC.EQ.1) THEN
CRZ=-0.5*R2DP(I1)
ELSE IF(IC.EQ.2) THEN
CRZ=0.5*R2DP(I1)
ELSE
CRZ=R2DC(I1)
ENDIF
RR=(R2DP(I1)+CRZ*DX/DD(K))
ELSE
RR=R2DP(I1)
ENDIF
A11X(KEY)=A11X(KEY)+RR*QFR1
60 CONTINUE
70 CONTINUE
80 NUM1=NUM1+LL
NUM2=NUM2+6
90 CONTINUE
RETURN
END
*
SUBROUTINE TRIPXY (IR,MAXKN,NEL,LL4,VOL,MAT,XSGD,XX,YY,ZZ,DD,KN,
1 QFR,MUY,IPY,CYLIND,LC,T,TS,Q,QS,A11Y)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IR,MAXKN,NEL,LL4,MAT(NEL),KN(MAXKN),MUY(LL4),IPY(LL4),LC
REAL VOL(NEL),XSGD(IR,4),XX(NEL),YY(NEL),ZZ(NEL),DD(NEL),
1 QFR(6*NEL),T(LC),TS(LC),Q(LC,LC),QS(LC,LC),A11Y(*)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION VAR1,VOL1,VOL2,VOL3,QQX,QQY,QQZ
COMMON /ELEM2/LL,LCC,IJ1(125),IJ2(125),IJ3(125),ISR(6,25),
1 Q3DP1(125,125),Q3DP2(125,125),Q3DP3(125,125),R3DP(125),
2 Q3DC1(125,125),Q3DC2(125,125),Q3DC3(125,125),R3DC(125),
3 R2DP(25),R2DC(25)
*----
* Y-DIRECTED COUPLINGS.
*
* ASSEMBLY OF MATRIX A11Y.
*----
CALL TRIPMA(LC,T,TS,Q,QS)
NUM1=0
NUM2=0
DO 180 K=1,NEL
L=MAT(K)
IF(L.EQ.0) GO TO 180
VOL0=VOL(K)
IF(VOL0.EQ.0.0) GO TO 170
DX=XX(K)
DY=YY(K)
DZ=ZZ(K)
VOL1=VOL0/(DX*DX)
VOL2=VOL0/(DY*DY)
VOL3=VOL0/(DZ*DZ)
DO 140 I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 140
INY1=IPY(IND1)
KEY0=MUY(INY1)
IF(CYLIND) THEN
RR=(R3DP(I)+R3DC(I)*DX/DD(K))*VOL0
ELSE
RR=R3DP(I)*VOL0
ENDIF
A11Y(KEY0)=A11Y(KEY0)+RR*XSGD(L,4)
KEY0=KEY0-INY1
DO 130 J=1,LL
IND2=KN(NUM1+J)
IF(IND2.EQ.0) GO TO 130
INY2=IPY(IND2)
IF(INY2.EQ.INY1) THEN
IF(CYLIND) THEN
QQX=(Q3DP1(I,J)+Q3DC1(I,J)*DX/DD(K))*VOL1
QQY=(Q3DP2(I,J)+Q3DC2(I,J)*DX/DD(K))*VOL2
QQZ=(Q3DP3(I,J)+Q3DC3(I,J)*DX/DD(K))*VOL3
ELSE
QQX=Q3DP1(I,J)*VOL1
QQY=Q3DP2(I,J)*VOL2
QQZ=Q3DP3(I,J)*VOL3
ENDIF
KEY=KEY0+INY2
VAR1=QQX*XSGD(L,1)+QQY*XSGD(L,2)+QQZ*XSGD(L,3)
A11Y(KEY)=REAL(A11Y(KEY)+VAR1)
ELSE IF((INY2.LT.INY1).AND.(IJ1(I).EQ.IJ1(J)).AND.
1 (IJ3(I).EQ.IJ3(J))) THEN
IF(CYLIND) THEN
QQY=(Q3DP2(I,J)+Q3DC2(I,J)*DX/DD(K))*VOL2
ELSE
QQY=Q3DP2(I,J)*VOL2
ENDIF
KEY=KEY0+INY2
A11Y(KEY)=REAL(A11Y(KEY)+QQY*XSGD(L,2))
ENDIF
130 CONTINUE
140 CONTINUE
DO 160 IC=1,6
QFR1=QFR(NUM2+IC)
IF(QFR1.EQ.0.0) GO TO 160
DO 150 I1=1,LCC
I=ISR(IC,I1)
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 150
INY1=IPY(IND1)
KEY=MUY(INY1)
IF(CYLIND) THEN
IF(IC.EQ.1) THEN
CRZ=-0.5*R2DP(I1)
ELSE IF(IC.EQ.2) THEN
CRZ=0.5*R2DP(I1)
ELSE
CRZ=R2DC(I1)
ENDIF
RR=(R2DP(I1)+DX*CRZ/DD(K))
ELSE
RR=R2DP(I1)
ENDIF
A11Y(KEY)=A11Y(KEY)+RR*QFR1
150 CONTINUE
160 CONTINUE
170 NUM1=NUM1+LL
NUM2=NUM2+6
180 CONTINUE
RETURN
END
*
SUBROUTINE TRIPXZ (IR,MAXKN,NEL,LL4,VOL,MAT,XSGD,XX,YY,ZZ,DD,KN,
1 QFR,MUZ,IPZ,CYLIND,LC,T,TS,Q,QS,A11Z)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IR,MAXKN,NEL,LL4,MAT(NEL),KN(MAXKN),MUZ(LL4),IPZ(LL4),LC
REAL VOL(NEL),XSGD(IR,4),XX(NEL),YY(NEL),ZZ(NEL),DD(NEL),
1 QFR(6*NEL),T(LC),TS(LC),Q(LC,LC),QS(LC,LC),A11Z(*)
LOGICAL CYLIND
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION VAR1,VOL1,VOL2,VOL3,QQX,QQY,QQZ
COMMON /ELEM2/LL,LCC,IJ1(125),IJ2(125),IJ3(125),ISR(6,25),
1 Q3DP1(125,125),Q3DP2(125,125),Q3DP3(125,125),R3DP(125),
2 Q3DC1(125,125),Q3DC2(125,125),Q3DC3(125,125),R3DC(125),
3 R2DP(25),R2DC(25)
*----
* Z-DIRECTED COUPLINGS.
*
* ASSEMBLY OF MATRIX A11Z.
*----
CALL TRIPMA(LC,T,TS,Q,QS)
NUM1=0
NUM2=0
DO 270 K=1,NEL
L=MAT(K)
IF(L.EQ.0) GO TO 270
VOL0=VOL(K)
IF(VOL0.EQ.0.0) GO TO 260
DX=XX(K)
DY=YY(K)
DZ=ZZ(K)
VOL1=VOL0/(DX*DX)
VOL2=VOL0/(DY*DY)
VOL3=VOL0/(DZ*DZ)
DO 230 I=1,LL
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 230
INZ1=IPZ(IND1)
KEY0=MUZ(INZ1)
IF(CYLIND) THEN
RR=(R3DP(I)+R3DC(I)*DX/DD(K))*VOL0
ELSE
RR=R3DP(I)*VOL0
ENDIF
A11Z(KEY0)=A11Z(KEY0)+RR*XSGD(L,4)
KEY0=KEY0-INZ1
DO 220 J=1,LL
IND2=KN(NUM1+J)
IF(IND2.EQ.0) GO TO 220
INZ2=IPZ(IND2)
IF(INZ2.EQ.INZ1) THEN
IF(CYLIND) THEN
QQX=(Q3DP1(I,J)+Q3DC1(I,J)*DX/DD(K))*VOL1
QQY=(Q3DP2(I,J)+Q3DC2(I,J)*DX/DD(K))*VOL2
QQZ=(Q3DP3(I,J)+Q3DC3(I,J)*DX/DD(K))*VOL3
ELSE
QQX=Q3DP1(I,J)*VOL1
QQY=Q3DP2(I,J)*VOL2
QQZ=Q3DP3(I,J)*VOL3
ENDIF
KEY=KEY0+INZ2
VAR1=QQX*XSGD(L,1)+QQY*XSGD(L,2)+QQZ*XSGD(L,3)
A11Z(KEY)=REAL(A11Z(KEY)+VAR1)
ELSE IF((INZ2.LT.INZ1).AND.(IJ1(I).EQ.IJ1(J)).AND.
1 (IJ2(I).EQ.IJ2(J))) THEN
IF(CYLIND) THEN
QQZ=(Q3DP3(I,J)+Q3DC3(I,J)*DX/DD(K))*VOL3
ELSE
QQZ=Q3DP3(I,J)*VOL3
ENDIF
KEY=KEY0+INZ2
A11Z(KEY)=REAL(A11Z(KEY)+QQZ*XSGD(L,3))
ENDIF
220 CONTINUE
230 CONTINUE
DO 250 IC=1,6
QFR1=QFR(NUM2+IC)
IF(QFR1.EQ.0.0) GO TO 250
DO 240 I1=1,LCC
I=ISR(IC,I1)
IND1=KN(NUM1+I)
IF(IND1.EQ.0) GO TO 240
INZ1=IPZ(IND1)
KEY=MUZ(INZ1)
IF(CYLIND) THEN
IF(IC.EQ.1) THEN
CRZ=-0.5*R2DP(I1)
ELSE IF(IC.EQ.2) THEN
CRZ=0.5*R2DP(I1)
ELSE
CRZ=R2DC(I1)
ENDIF
RR=(R2DP(I1)+DX*CRZ/DD(K))
ELSE
RR=R2DP(I1)
ENDIF
A11Z(KEY)=A11Z(KEY)+RR*QFR1
240 CONTINUE
250 CONTINUE
260 NUM1=NUM1+LL
NUM2=NUM2+6
270 CONTINUE
RETURN
END
|
