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*DECK PNSH2D
SUBROUTINE PNSH2D(ITY,IELEM,ICOL,NBLOS,SIDE,MAT,NBMIX,NLF,NVD,
1 NAN,SIGT,L4,IPERT,KN,QFR,LC,R,V,H,FUNKNO,SUNKNO)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Source calculation for a SPN approximation in BIVAC, including
* neighbour Legendre and out-of-group contributions.
* Raviart-Thomas-Schneider method in hexagonal geometry.
*
*Copyright:
* Copyright (C) 2009 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
* ITY type of assembly:
* =0: leakage-removal matrix assembly; =1: cross section matrix
* assembly.
* IELEM degree of the Lagrangian finite elements: =1 (linear);
* =2 (parabolic); =3 (cubic); =4 (quartic).
* ICOL type of quadrature: =1 (analytical integration);
* =2 (Gauss-Lobatto); =3 (Gauss-Legendre).
* NBLOS number of lozenges per direction, taking into account
* mesh-splitting.
* SIDE side of the hexagons.
* MAT index-number of the mixture type assigned to each volume.
* NBMIX number of mixtures.
* NLF number of Legendre orders for the flux (even number).
* NVD type of void boundary condition if NLF>0 and ICOL=3.
* NAN number of Legendre orders for the cross sections.
* SIGT macroscopic cross sections ordered by mixture.
* SIGT(:,NAN) generally contains the total cross section only.
* L4 order of the profiled system matrices.
* IPERT mixture permutation index.
* KN element-ordered unknown list.
* QFR element-ordered boundary conditions.
* LC order of the unit matrices.
* R unit Cartesian mass matrix.
* V unit nodal coupling matrix.
* H Piolat (hexagonal) coupling matrix.
* FUNKNO initial fluxes.
* SUNKNO initial sources.
*
*Parameters: output
* SUNKNO modified sources.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ITY,IELEM,ICOL,NBLOS,MAT(3,NBLOS),NBMIX,NLF,NVD,NAN,L4,
1 IPERT(NBLOS),KN(NBLOS,4+6*IELEM*(IELEM+1)),LC
REAL SIDE,SIGT(NBMIX,NAN),QFR(NBLOS,6),R(LC,LC),V(LC,LC-1),
1 H(LC,LC-1),SUNKNO(L4*NLF/2),FUNKNO(L4*NLF/2)
*----
* LOCAL VARIABLES
*----
PARAMETER(MAXIEL=3)
DOUBLE PRECISION CTRAN(MAXIEL*(MAXIEL+1),MAXIEL*(MAXIEL+1)),VAR1
*
TTTT=REAL(0.5D0*SQRT(3.D00)*SIDE*SIDE)
IF(ICOL.EQ.3) THEN
IF(NVD.EQ.0) THEN
NZMAR=NLF+1
ELSE IF(NVD.EQ.1) THEN
NZMAR=NLF
ELSE IF(NVD.EQ.2) THEN
NZMAR=65
ENDIF
ELSE
NZMAR=65
ENDIF
NELEM=IELEM*(IELEM+1)
COEF=REAL(2.0D0*SIDE*SIDE/SQRT(3.D00))
*----
* COMPUTE THE TRANVERSE COUPLING PIOLAT UNIT MATRIX
*----
CTRAN(:MAXIEL*(MAXIEL+1),:MAXIEL*(MAXIEL+1))=0.0D0
CNORM=REAL(SIDE*SIDE/SQRT(3.D00))
I=0
DO 22 JS=1,IELEM
DO 21 JT=1,IELEM+1
J=0
I=I+1
SSS=1.0
DO 20 IT=1,IELEM
DO 10 IS=1,IELEM+1
J=J+1
CTRAN(I,J)=SSS*CNORM*H(IS,JS)*H(JT,IT)
10 CONTINUE
SSS=-SSS
20 CONTINUE
21 CONTINUE
22 CONTINUE
*
DO 160 IL=0,NLF-1
IF((ITY.EQ.1).AND.(IL.GE.NAN)) GO TO 160
FACT=REAL(2*IL+1)
*----
* COMPUTE THE SOURCE AT ORDER IL.
*----
NUM=0
DO 150 KEL=1,NBLOS
IF(IPERT(KEL).EQ.0) GO TO 150
NUM=NUM+1
IBM=MAT(1,IPERT(KEL))
IF(IBM.EQ.0) GO TO 150
GARS=SIGT(IBM,MIN(IL+1,NAN))
IF(MOD(IL,2).EQ.0) THEN
* EVEN PARITY EQUATION.
DO 35 K2=0,IELEM-1
DO 30 K1=0,IELEM-1
JND1=(IL/2)*L4+KN(NUM,1)+K2*IELEM+K1 ! w-oriented flux
JND2=(IL/2)*L4+KN(NUM,2)+K2*IELEM+K1
JND3=(IL/2)*L4+KN(NUM,3)+K2*IELEM+K1
SUNKNO(JND1)=SUNKNO(JND1)+FACT*TTTT*GARS*FUNKNO(JND1)
SUNKNO(JND2)=SUNKNO(JND2)+FACT*TTTT*GARS*FUNKNO(JND2)
SUNKNO(JND3)=SUNKNO(JND3)+FACT*TTTT*GARS*FUNKNO(JND3)
30 CONTINUE
35 CONTINUE
IF(ITY.EQ.1) GO TO 150
*
DO 43 K4=0,1
DO 42 K3=0,IELEM-1
DO 41 K2=1,IELEM+1
KNW1=KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K2)
KNX1=KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K2)
KNY1=KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K2)
INW1=(IL/2)*L4+ABS(KNW1) ! w-oriented current
INX1=(IL/2)*L4+ABS(KNX1)
INY1=(IL/2)*L4+ABS(KNY1)
DO 40 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 40
IF(K4.EQ.0) THEN
SSS=(-1.0)**K1
JND1=(IL/2)*L4+KN(NUM,1)+K3*IELEM+K1 ! w-oriented flux
JND2=(IL/2)*L4+KN(NUM,2)+K3*IELEM+K1
JND3=(IL/2)*L4+KN(NUM,3)+K3*IELEM+K1
ELSE
SSS=1.0
JND1=(IL/2)*L4+KN(NUM,2)+K1*IELEM+K3
JND2=(IL/2)*L4+KN(NUM,3)+K1*IELEM+K3
JND3=(IL/2)*L4+KN(NUM,4)+K1*IELEM+K3
ENDIF
VAR1=SSS*REAL(IL+1)*SIDE*V(K2,K1+1)
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
SUNKNO(JND1)=SUNKNO(JND1)+SG*REAL(VAR1)*FUNKNO(INW1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
SUNKNO(JND2)=SUNKNO(JND2)+SG*REAL(VAR1)*FUNKNO(INX1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
SUNKNO(JND3)=SUNKNO(JND3)+SG*REAL(VAR1)*FUNKNO(INY1)
ENDIF
IF(IL.GE.2) THEN
VAR1=SSS*REAL(IL)*SIDE*V(K2,K1+1)
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
SUNKNO(JND1)=SUNKNO(JND1)+SG*REAL(VAR1)*FUNKNO(INW1-L4)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
SUNKNO(JND2)=SUNKNO(JND2)+SG*REAL(VAR1)*FUNKNO(INX1-L4)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
SUNKNO(JND3)=SUNKNO(JND3)+SG*REAL(VAR1)*FUNKNO(INY1-L4)
ENDIF
ENDIF
40 CONTINUE
41 CONTINUE
42 CONTINUE
43 CONTINUE
ELSE IF(MOD(IL,2).EQ.1) THEN
* ODD PARITY EQUATION.
DO 112 K4=0,1 ! TWO LOZENGES PER HEXAGON
DO 111 K3=0,IELEM-1
DO 110 K2=1,IELEM+1
KNW1=KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K2) ! w-oriented current
KNX1=KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K2)
KNY1=KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K2)
INW1=(IL/2)*L4+ABS(KNW1)
INX1=(IL/2)*L4+ABS(KNX1)
INY1=(IL/2)*L4+ABS(KNY1)
DO 70 K1=1,IELEM+1
KNW2=KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K1) ! w-oriented current
KNX2=KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K1)
KNY2=KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K1)
INW2=(IL/2)*L4+ABS(KNW2)
INX2=(IL/2)*L4+ABS(KNX2)
INY2=(IL/2)*L4+ABS(KNY2)
VAR1=FACT*COEF*GARS*R(K2,K1)
IF((KNW2.NE.0).AND.(KNW1.NE.0)) THEN
SG=REAL(SIGN(1,KNW1)*SIGN(1,KNW2))
SUNKNO(INW1)=SUNKNO(INW1)-SG*REAL(VAR1)*FUNKNO(INW2)
ENDIF
IF((KNX2.NE.0).AND.(KNX1.NE.0)) THEN
SG=REAL(SIGN(1,KNX1)*SIGN(1,KNX2))
SUNKNO(INX1)=SUNKNO(INX1)-SG*REAL(VAR1)*FUNKNO(INX2)
ENDIF
IF((KNY2.NE.0).AND.(KNY1.NE.0)) THEN
SG=REAL(SIGN(1,KNY1)*SIGN(1,KNY2))
SUNKNO(INY1)=SUNKNO(INY1)-SG*REAL(VAR1)*FUNKNO(INY2)
ENDIF
70 CONTINUE
IF(ITY.EQ.0) THEN
* BOUNDARY CONDITIONS.
IF(KNW1.NE.0) THEN
DO 80 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INW2=(IL2/2)*L4+ABS(KNW1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,1)*ZMARS*FUNKNO(INW2)
SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,2)*ZMARS*FUNKNO(INW2)
SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
ENDIF
80 CONTINUE
ENDIF
IF(KNX1.NE.0) THEN
DO 90 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INX2=(IL2/2)*L4+ABS(KNX1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,3)*ZMARS*FUNKNO(INX2)
SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,4)*ZMARS*FUNKNO(INX2)
SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
ENDIF
90 CONTINUE
ENDIF
IF(KNY1.NE.0) THEN
DO 100 IL2=1,NLF-1,2
ZMARS=PNMAR2(NZMAR,IL2,IL)
INY2=(IL2/2)*L4+ABS(KNY1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
VAR1=0.5*FACT*QFR(NUM,5)*ZMARS*FUNKNO(INY2)
SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
VAR1=0.5*FACT*QFR(NUM,6)*ZMARS*FUNKNO(INY2)
SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
ENDIF
100 CONTINUE
ENDIF
ENDIF
110 CONTINUE
111 CONTINUE
112 CONTINUE
*
ITRS=0
DO I=1,NBLOS
IF(KN(I,1).EQ.KN(NUM,4)) THEN
ITRS=I
GO TO 120
ENDIF
ENDDO
CALL XABORT('PNDH2E: ITRS FAILURE.')
120 DO 135 I=1,NELEM
KNW1=KN(ITRS,4+I)
KNX1=KN(NUM,4+2*NELEM+I)
KNY1=KN(NUM,4+4*NELEM+I)
INW1=(IL/2)*L4+ABS(KNW1)
INX1=(IL/2)*L4+ABS(KNX1)
INY1=(IL/2)*L4+ABS(KNY1)
DO 130 J=1,NELEM
KNW2=KN(NUM,4+NELEM+J)
KNX2=KN(NUM,4+3*NELEM+J)
KNY2=KN(NUM,4+5*NELEM+J)
INW2=(IL/2)*L4+ABS(KNW2)
INX2=(IL/2)*L4+ABS(KNX2)
INY2=(IL/2)*L4+ABS(KNY2)
VAR1=FACT*GARS*CTRAN(I,J)
IF((KNY2.NE.0).AND.(KNW1.NE.0)) THEN
SG=REAL(SIGN(1,KNW1)*SIGN(1,KNY2))
SUNKNO(INY2)=SUNKNO(INY2)-SG*REAL(VAR1)*FUNKNO(INW1) ! y w
SUNKNO(INW1)=SUNKNO(INW1)-SG*REAL(VAR1)*FUNKNO(INY2) ! w y
ENDIF
IF((KNW2.NE.0).AND.(KNX1.NE.0)) THEN
SG=REAL(SIGN(1,KNX1)*SIGN(1,KNW2))
SUNKNO(INX1)=SUNKNO(INX1)-SG*REAL(VAR1)*FUNKNO(INW2) ! x w
SUNKNO(INW2)=SUNKNO(INW2)-SG*REAL(VAR1)*FUNKNO(INX1) ! w x
ENDIF
IF((KNX2.NE.0).AND.(KNY1.NE.0)) THEN
SG=REAL(SIGN(1,KNY1)*SIGN(1,KNX2))
SUNKNO(INY1)=SUNKNO(INY1)-SG*REAL(VAR1)*FUNKNO(INX2) ! y x
SUNKNO(INX2)=SUNKNO(INX2)-SG*REAL(VAR1)*FUNKNO(INY1) ! x y
ENDIF
130 CONTINUE
135 CONTINUE
IF(ITY.EQ.1) GO TO 150
*
DO 143 K4=0,1
DO 142 K3=0,IELEM-1
DO 141 K2=1,IELEM+1
KNW1=KN(NUM,4+K4*NELEM+K3*(IELEM+1)+K2)
KNX1=KN(NUM,4+(K4+2)*NELEM+K3*(IELEM+1)+K2)
KNY1=KN(NUM,4+(K4+4)*NELEM+K3*(IELEM+1)+K2)
INW1=(IL/2)*L4+ABS(KNW1) ! w-oriented current
INX1=(IL/2)*L4+ABS(KNX1)
INY1=(IL/2)*L4+ABS(KNY1)
DO 140 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 140
IF(K4.EQ.0) THEN
SSS=(-1.0)**K1
JND1=(IL/2)*L4+KN(NUM,1)+K3*IELEM+K1 ! w-oriented flux
JND2=(IL/2)*L4+KN(NUM,2)+K3*IELEM+K1
JND3=(IL/2)*L4+KN(NUM,3)+K3*IELEM+K1
ELSE
SSS=1.0
JND1=(IL/2)*L4+KN(NUM,2)+K1*IELEM+K3
JND2=(IL/2)*L4+KN(NUM,3)+K1*IELEM+K3
JND3=(IL/2)*L4+KN(NUM,4)+K1*IELEM+K3
ENDIF
VAR1=SSS*REAL(IL)*SIDE*V(K2,K1+1)
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
SUNKNO(INW1)=SUNKNO(INW1)+SG*REAL(VAR1)*FUNKNO(JND1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
SUNKNO(INX1)=SUNKNO(INX1)+SG*REAL(VAR1)*FUNKNO(JND2)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
SUNKNO(INY1)=SUNKNO(INY1)+SG*REAL(VAR1)*FUNKNO(JND3)
ENDIF
IF(IL.LE.NLF-3) THEN
VAR1=SSS*REAL(IL+1)*SIDE*V(K2,K1+1)
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
SUNKNO(INW1)=SUNKNO(INW1)+SG*REAL(VAR1)*FUNKNO(JND1+L4)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
SUNKNO(INX1)=SUNKNO(INX1)+SG*REAL(VAR1)*FUNKNO(JND2+L4)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
SUNKNO(INY1)=SUNKNO(INY1)+SG*REAL(VAR1)*FUNKNO(JND3+L4)
ENDIF
ENDIF
140 CONTINUE
141 CONTINUE
142 CONTINUE
143 CONTINUE
ENDIF
150 CONTINUE
160 CONTINUE
RETURN
END
|
