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*DECK TRIMTW
SUBROUTINE TRIMTW(ISPLH,IR,NEL,LL4,VOL,MAT,MATN,SGD,XSGD,SIDE,
1 ZZ,KN,QFR,MUW,IPW,IPR,A11W)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of system matrices for a mesh centered finite difference
* discretization in hexagonal geometry (triangular sub meshs).
* 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. Benaboud
*
*Parameters: input
* ISPLH used to compute the number of triangles as 6*(ISPLH-1)**2.
* IR first dimension of matrix SGD.
* NEL total number of finite elements.
* LL4 order of system matrices.
* VOL volume of each element.
* MAT mixture index assigned to each hexagon.
* MATN mixture index assigned to each triangle.
* SGD nuclear properties per material mixtures:
* SGD(L,1): W-, X-, and Y-oriented diffusion coefficients;
* SGD(L,3): Z-oriented diffusion coefficients;
* SGD(L,4): removal macroscopic cross section.
* XSGD nuclear properties (IPR=0), derivatives (IPR=1) or first
* variations (IPR=2 or 3) of nuclear properties per material
* mixture.
* SIDE side of an hexagon.
* ZZ Z-directed mesh spacings.
* KN element-ordered unknown list.
* QFR element-ordered boundary conditions.
* MUW W-oriented compressed storage mode indices.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IPW W-oriented permutation matrices.
* IPX X-oriented permutation matrices.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
* IPR type of calculation:
* =0: compute the system matrices;
* =1: compute the derivative of system matrices;
* =2 or =3: compute the variation of system matrices.
*
*Parameters: output
* A11W W-oriented matrices corresponding to the divergence (i.e
* leakage) and removal terms. Dimensionned to MUW(LL4).
* A11X X-oriented matrices corresponding to the divergence (i.e
* leakage) and removal terms. Dimensionned to MUX(LL4).
* A11Y Y-oriented matrices corresponding to the divergence (i.e
* leakage) and removal terms. Dimensionned to MUY(LL4).
* A11Z Z-oriented matrices corresponding to the divergence (i.e
* leakage) and removal terms. Dimensionned to MUZ(LL4).
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ISPLH,IR,NEL,LL4,MAT(NEL),MATN(LL4),
1 KN((18*(ISPLH-1)**2+3)*NEL),MUW(LL4),IPW(LL4),IPR
REAL VOL(NEL),SGD(IR,4),XSGD(IR,4),SIDE,ZZ(NEL),QFR(8*NEL),
1 A11W(*)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION A1(5),VAR1
INTEGER, DIMENSION(:), ALLOCATABLE :: IWRK
*----
* ASSEMBLY OF MATRIX A11W
*----
NUM1 = 0
NUM2 = 0
NTPH = 6 * (ISPLH-1)**2
NTPL = 1 + 2 * (ISPLH-1)
NVT1 = NTPL + 2 * (ISPLH-2) + NTPH / 2
NVT2 = NTPH - NTPL - (ISPLH-4) * (NTPL+2)
NVT3 = NTPH - (ISPLH-4) * NTPL
IVAL = 3*NTPH+8
IF(ISPLH.EQ.3) NVT2 = NTPH
IF(ISPLH.LE.3) ISAU = 2*(ISPLH-2)
IF(ISPLH.GE.4) ISAU = 6*(ISPLH-3)
ICR = ISAU*(1+2*(ISPLH-2))
ALLOCATE(IWRK(NEL))
MEL = 0
DO 10 M=1,NEL
IF(MAT(M).LE.0) GO TO 10
MEL = MEL + 1
IWRK(MEL) = M
10 CONTINUE
DO 40 K=1,NEL
L = MAT(K)
IF(L.EQ.0) GO TO 40
VOL0 = VOL(K)/NTPH
IF(VOL0.EQ.0.0) GO TO 30
KK4=KN(NUM1+3*NTPH+7)
KK5=KN(NUM1+3*NTPH+8)
IF(KK4.GT.0) KK4 = IWRK(KK4)
IF(KK5.GT.0) KK5 = IWRK(KK5)
DO 20 I = 1,NTPH
*
CALL TRINEI (3,1,1,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,
> NTPH,NTPL,NVT1,NVT2,NVT3,IVAL,KN)
*
CALL TRITCO (NEL,LL4,ISPLH,IR,IQF,K,KK1,KK2,KK3,KK4,KK5,
> VOL0,MAT,MATN,SGD(1,1),XSGD(1,1),SIDE,ZZ,QFR(NUM2+1),IPR,A1)
*
INW1=IPW(KEL)
KEY0=MUW(INW1)-INW1
IF(KK1.GT.0) THEN
INW2=IPW(KK1)
IF(INW2.LT.INW1) THEN
KEY=KEY0+INW2
A11W(KEY)=A11W(KEY)-REAL(A1(1))/2.
ENDIF
ENDIF
IF(KK2.GT.0) THEN
INW2=IPW(KK2)
IF(INW2.LT.INW1) THEN
KEY=KEY0+INW2
A11W(KEY)=A11W(KEY)-REAL(A1(2))/2.
ENDIF
ENDIF
KEY=KEY0+INW1
VAR1 = A1(1)+A1(2)+A1(3)+A1(4)+A1(5)
A11W(KEY)=A11W(KEY)+REAL(VAR1)+XSGD(L,4)*VOL0
20 CONTINUE
30 NUM1=NUM1+IVAL
NUM2=NUM2+8
40 CONTINUE
DEALLOCATE(IWRK)
RETURN
END
*
SUBROUTINE TRIMTX (ISPLH,IR,NEL,LL4,VOL,MAT,MATN,SGD,XSGD,SIDE,
1 ZZ,KN,QFR,MUX,IPX,IPR,A11X)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ISPLH,IR,NEL,LL4,MAT(NEL),MATN(LL4),
1 KN((18*(ISPLH-1)**2+3)*NEL),MUX(LL4),IPX(LL4),IPR
REAL VOL(NEL),SGD(IR,4),XSGD(IR,4),SIDE,ZZ(NEL),QFR(8*NEL),
1 A11X(*)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION A1(5),VAR1
INTEGER, DIMENSION(:), ALLOCATABLE :: IWRK
*----
* ASSEMBLY OF MATRIX A11X
*----
NUM1=0
NUM2=0
NTPH = 6*(ISPLH-1)**2
NTPL = 1+2*(ISPLH-1)
NVT1 = NTPL + 2 * (ISPLH-2) + NTPH / 2
NVT2 = NTPH - NTPL - (ISPLH-4) * (NTPL+2)
NVT3 = NTPH - (ISPLH-4) * NTPL
IVAL = 3*NTPH+8
IF(ISPLH.EQ.3) NVT2 = NTPH
IF(ISPLH.LE.3) ISAU = 2*(ISPLH-2)
IF(ISPLH.GE.4) ISAU = 6*(ISPLH-3)
ICR = ISAU*(1+2*(ISPLH-2))
ALLOCATE(IWRK(NEL))
MEL = 0
DO 105 M=1,NEL
IF(MAT(M).LE.0) GO TO 105
MEL = MEL + 1
IWRK(MEL) = M
105 CONTINUE
DO 130 K=1,NEL
L = MAT(K)
IF(L.EQ.0) GO TO 130
VOL0 = VOL(K)/NTPH
IF(VOL0.EQ.0.0) GO TO 120
KK4=KN(NUM1+3*NTPH+7)
KK5=KN(NUM1+3*NTPH+8)
IF(KK4.GT.0) KK4 = IWRK(KK4)
IF(KK5.GT.0) KK5 = IWRK(KK5)
DO 110 I = 1,NTPH
*
CALL TRINEI (3,2,1,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,
> NTPH,NTPL,NVT1,NVT2,NVT3,IVAL,KN)
*
CALL TRITCO (NEL,LL4,ISPLH,IR,IQF,K,KK1,KK2,KK3,KK4,KK5,
> VOL0,MAT,MATN,SGD(1,1),XSGD(1,1),SIDE,ZZ,QFR(NUM2+1),IPR,A1)
*
INX1=IPX(KEL)
KEY0=MUX(INX1)-INX1
IF(KK1.GT.0) THEN
INX2=IPX(KK1)
IF(INX2.LT.INX1) THEN
KEY=KEY0+INX2
A11X(KEY)=A11X(KEY)-REAL(A1(1))/2.
ENDIF
ENDIF
IF(KK2.GT.0) THEN
INX2=IPX(KK2)
IF(INX2.LT.INX1) THEN
KEY=KEY0+INX2
A11X(KEY)=A11X(KEY)-REAL(A1(2))/2.
ENDIF
ENDIF
KEY=KEY0+INX1
VAR1 = A1(1)+A1(2)+A1(3)+A1(4)+A1(5)
A11X(KEY)=A11X(KEY)+REAL(VAR1)+XSGD(L,4)*VOL0
110 CONTINUE
120 NUM1=NUM1+IVAL
NUM2=NUM2+8
130 CONTINUE
DEALLOCATE(IWRK)
RETURN
END
*
SUBROUTINE TRIMTY (ISPLH,IR,NEL,LL4,VOL,MAT,MATN,SGD,XSGD,SIDE,
1 ZZ,KN,QFR,MUY,IPY,IPR,A11Y)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ISPLH,IR,NEL,LL4,MAT(NEL),MATN(LL4),
1 KN((18*(ISPLH-1)**2+3)*NEL),MUY(LL4),IPY(LL4),IPR
REAL VOL(NEL),SGD(IR,4),XSGD(IR,4),SIDE,ZZ(NEL),QFR(8*NEL),
1 A11Y(*)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION A1(5),VAR1
INTEGER, DIMENSION(:), ALLOCATABLE :: IWRK
*----
* ASSEMBLY OF MATRIX A11Y
*----
NUM1=0
NUM2=0
NTPH = 6*(ISPLH-1)**2
NTPL = 1+2*(ISPLH-1)
NVT1 = NTPL + 2 * (ISPLH-2) + NTPH / 2
NVT2 = NTPH - NTPL - (ISPLH-4) * (NTPL+2)
NVT3 = NTPH - (ISPLH-4) * NTPL
IVAL = 3*NTPH+8
IF(ISPLH.EQ.3) NVT2 = NTPH
IF(ISPLH.LE.3) ISAU = 2*(ISPLH-2)
IF(ISPLH.GE.4) ISAU = 6*(ISPLH-3)
ICR = ISAU*(1+2*(ISPLH-2))
ALLOCATE(IWRK(NEL))
MEL = 0
DO 205 M=1,NEL
IF(MAT(M).LE.0) GO TO 205
MEL = MEL + 1
IWRK(MEL) = M
205 CONTINUE
DO 230 K=1,NEL
L = MAT(K)
IF(L.EQ.0) GO TO 230
VOL0 = VOL(K)/NTPH
IF(VOL0.EQ.0.0) GO TO 220
KK4=KN(NUM1+3*NTPH+7)
KK5=KN(NUM1+3*NTPH+8)
IF(KK4.GT.0) KK4 = IWRK(KK4)
IF(KK5.GT.0) KK5 = IWRK(KK5)
DO 210 I = 1,NTPH
*
CALL TRINEI (3,3,1,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,
> NTPH,NTPL,NVT1,NVT2,NVT3,IVAL,KN)
*
CALL TRITCO (NEL,LL4,ISPLH,IR,IQF,K,KK1,KK2,KK3,KK4,KK5,
> VOL0,MAT,MATN,SGD(1,1),XSGD(1,1),SIDE,ZZ,QFR(NUM2+1),IPR,A1)
*
INY1=IPY(KEL)
KEY0=MUY(INY1)-INY1
IF(KK1.GT.0) THEN
INY2=IPY(KK1)
IF(INY2.LT.INY1) THEN
KEY=KEY0+INY2
A11Y(KEY)=A11Y(KEY)-REAL(A1(1))/2.
ENDIF
ENDIF
IF(KK2.GT.0) THEN
INY2=IPY(KK2)
IF(INY2.LT.INY1) THEN
KEY=KEY0+INY2
A11Y(KEY)=A11Y(KEY)-REAL(A1(2))/2.
ENDIF
ENDIF
KEY=KEY0+INY1
VAR1 = A1(1)+A1(2)+A1(3)+A1(4)+A1(5)
A11Y(KEY)=A11Y(KEY)+REAL(VAR1)+XSGD(L,4)*VOL0
210 CONTINUE
220 NUM1=NUM1+IVAL
NUM2=NUM2+8
230 CONTINUE
DEALLOCATE(IWRK)
RETURN
END
*
SUBROUTINE TRIMTZ (ISPLH,IR,NEL,LL4,VOL,MAT,MATN,SGD,XSGD,SIDE,
1 ZZ,KN,QFR,MUZ,IPZ,IPR,A11Z)
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ISPLH,IR,NEL,LL4,MAT(NEL),MATN(LL4),
1 KN((18*(ISPLH-1)**2+3)*NEL),MUZ(LL4),IPZ(LL4),IPR
REAL VOL(NEL),SGD(IR,4),XSGD(IR,4),SIDE,ZZ(NEL),QFR(8*NEL),
1 A11Z(*)
*----
* LOCAL VARIABLES
*----
DOUBLE PRECISION A1(5),VAR1
INTEGER, DIMENSION(:), ALLOCATABLE :: IWRK
*----
* ASSEMBLY OF MATRIX A11Z
*----
NUM1=0
NUM2=0
NTPH = 6*(ISPLH-1)**2
NTPL = 1+2*(ISPLH-1)
NVT1 = NTPL + 2 * (ISPLH-2) + NTPH / 2
NVT2 = NTPH - NTPL - (ISPLH-4) * (NTPL+2)
NVT3 = NTPH - (ISPLH-4) * NTPL
IVAL = 3*NTPH+8
IF(ISPLH.EQ.3) NVT2 = NTPH
IF(ISPLH.LE.3) ISAU = 2*(ISPLH-2)
IF(ISPLH.GE.4) ISAU = 6*(ISPLH-3)
ICR = ISAU*(1+2*(ISPLH-2))
ALLOCATE(IWRK(NEL))
MEL = 0
DO 305 M=1,NEL
IF(MAT(M).LE.0) GO TO 305
MEL = MEL + 1
IWRK(MEL) = M
305 CONTINUE
DO 330 K=1,NEL
L = MAT(K)
IF(L.EQ.0) GO TO 330
VOL0 = VOL(K)/NTPH
IF(VOL0.EQ.0.0) GO TO 320
DO 310 I = 1,NTPH
*
CALL TRINEI (3,1,1,ISPLH,ICR,I,KK1,KK2,KK3,KEL,IQF,NUM1,
> NTPH,NTPL,NVT1,NVT2,NVT3,IVAL,KN)
KK4 = KN(NUM1+NTPH+I)
KK5 = KN(NUM1+2*NTPH+I)
LK4 = KK4
LK5 = KK5
IF(LK4.GT.0) LK4 = IWRK(KN(NUM1+3*NTPH+7))
IF(LK5.GT.0) LK5 = IWRK(KN(NUM1+3*NTPH+8))
*
CALL TRITCO (NEL,LL4,ISPLH,IR,IQF,K,KK1,KK2,KK3,LK4,LK5,
> VOL0,MAT,MATN,SGD(1,1),XSGD(1,1),SIDE,ZZ,QFR(NUM2+1),IPR,A1)
*
INZ1=IPZ(KEL)
KEY0=MUZ(INZ1)-INZ1
IF(KK4.GT.0) THEN
INZ2=IPZ(KK4)
IF(INZ2.LT.INZ1) THEN
KEY=KEY0+INZ2
A11Z(KEY)=A11Z(KEY)-REAL(A1(4))
ENDIF
ENDIF
IF(KK5.GT.0) THEN
INZ2=IPZ(KK5)
IF(INZ2.LT.INZ1) THEN
KEY=KEY0+INZ2
A11Z(KEY)=A11Z(KEY)-REAL(A1(5))
ENDIF
ENDIF
KEY=KEY0+INZ1
VAR1 = A1(1)+A1(2)+A1(3)+A1(4)+A1(5)
A11Z(KEY)=A11Z(KEY)+REAL(VAR1)+XSGD(L,4)*VOL0
310 CONTINUE
320 NUM1=NUM1+IVAL
NUM2=NUM2+8
330 CONTINUE
DEALLOCATE(IWRK)
RETURN
END
|
