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*DECK PNFH2E
SUBROUTINE PNFH2E (IELEM,ICOL,NBLOS,SIDE,NLF,NVD,L4,IPERT,KN,
1 QFR,MU,IIMAX,LC,V,SYS,SUNKNO,FUNKNO,NADI)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Perform a one-group SPN flux iteration in hexagonal 2D geometry.
* 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
* 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.
* NLF number of Legendre orders for the flux (even number).
* NVD type of void boundary condition if NLF>0 and ICOL=3.
* L4 number of unknowns per energy group and per set of two
* Legendre orders.
* IPERT mixture permutation index.
* KN element-ordered unknown list.
* QFR element-ordered boundary conditions.
* MU profiled storage indices for matrix SYS.
* IIMAX dimension of SYS.
* LC order of the unit matrices.
* V unit nodal coupling matrix.
* SYS LU factors of the system matrix.
* SUNKNO sources.
* FUNKNO initial fluxes.
* NADI number of inner ADI iterations.
*
*Parameters: output
* FUNKNO fluxes.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER IELEM,ICOL,NBLOS,NLF,NVD,L4,IPERT(NBLOS),
1 KN(NBLOS,4+6*IELEM*(IELEM+1)),MU(L4),IIMAX,LC,NADI
REAL SIDE,QFR(NBLOS,6),V(LC,LC-1),SYS(IIMAX),SUNKNO(L4*NLF/2),
1 FUNKNO(L4*NLF/2)
*
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
MUMAX=MU(L4)
NELEM=IELEM*(IELEM+1)
DO 170 IADI=1,MAX(1,NADI)
DO 160 IL=0,NLF-1
FACT=REAL(2*IL+1)
IF(MOD(IL,2).EQ.0) THEN
DO 10 I=1,L4
FUNKNO((IL/2)*L4+I)=SUNKNO((IL/2)*L4+I)
10 CONTINUE
ENDIF
*----
* COMPUTE THE SOLUTION AT ORDER IL.
*----
NUM=0
DO 150 KEL=1,NBLOS
IF(IPERT(KEL).EQ.0) GO TO 150
NUM=NUM+1
IF(MOD(IL,2).EQ.0) THEN
* EVEN PARITY EQUATION
IF(IL.GE.2) THEN
DO 33 K4=0,1
DO 32 K3=0,IELEM-1
DO 31 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)/2)*L4+ABS(KNW1)
INX1=((IL-2)/2)*L4+ABS(KNX1)
INY1=((IL-2)/2)*L4+ABS(KNY1)
DO 30 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 30
IF(K4.EQ.0) THEN
SSS=(-1.0)**K1
JND1=(IL/2)*L4+KN(NUM,1)+K3*IELEM+K1
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
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
FUNKNO(JND1)=FUNKNO(JND1)-SG*SSS*REAL(IL)*SIDE*
1 V(K2,K1+1)*FUNKNO(INW1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
FUNKNO(JND2)=FUNKNO(JND2)-SG*SSS*REAL(IL)*SIDE*
1 V(K2,K1+1)*FUNKNO(INX1)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
FUNKNO(JND3)=FUNKNO(JND3)-SG*SSS*REAL(IL)*SIDE*
1 V(K2,K1+1)*FUNKNO(INY1)
ENDIF
30 CONTINUE
31 CONTINUE
32 CONTINUE
33 CONTINUE
ENDIF
ELSE
* ODD PARITY EQUATION
DO 142 K4=0,1
DO 141 K3=0,IELEM-1
DO 140 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)
INX1=(IL/2)*L4+ABS(KNX1)
INY1=(IL/2)*L4+ABS(KNY1)
IF(KNW1.NE.0) THEN
DO 90 IL2=1,NLF-1,2
IF(IL2.EQ.IL) GO TO 90
ZMARS=PNMAR2(NZMAR,IL2,IL)
INW2=(IL2/2)*L4+ABS(KNW1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
FUNKNO(INW1)=FUNKNO(INW1)+0.5*FACT*QFR(NUM,1)*ZMARS*
1 FUNKNO(INW2)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
FUNKNO(INW1)=FUNKNO(INW1)+0.5*FACT*QFR(NUM,2)*ZMARS*
1 FUNKNO(INW2)
ENDIF
90 CONTINUE
ENDIF
IF(KNX1.NE.0) THEN
DO 100 IL2=1,NLF-1,2
IF(IL2.EQ.IL) GO TO 100
ZMARS=PNMAR2(NZMAR,IL2,IL)
INX2=(IL2/2)*L4+ABS(KNX1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
FUNKNO(INX1)=FUNKNO(INX1)+0.5*FACT*QFR(NUM,3)*ZMARS*
1 FUNKNO(INX2)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
FUNKNO(INX1)=FUNKNO(INX1)+0.5*FACT*QFR(NUM,4)*ZMARS*
1 FUNKNO(INX2)
ENDIF
100 CONTINUE
ENDIF
IF(KNY1.NE.0) THEN
DO 110 IL2=1,NLF-1,2
IF(IL2.EQ.IL) GO TO 110
ZMARS=PNMAR2(NZMAR,IL2,IL)
INY2=(IL2/2)*L4+ABS(KNY1)
IF((K2.EQ.1).AND.(K4.EQ.0)) THEN
FUNKNO(INY1)=FUNKNO(INY1)+0.5*FACT*QFR(NUM,5)*ZMARS*
1 FUNKNO(INY2)
ELSE IF((K2.EQ.IELEM+1).AND.(K4.EQ.1)) THEN
FUNKNO(INY1)=FUNKNO(INY1)+0.5*FACT*QFR(NUM,6)*ZMARS*
1 FUNKNO(INY2)
ENDIF
110 CONTINUE
ENDIF
IF(IL.LE.NLF-3) THEN
DO 130 K1=0,IELEM-1
IF(V(K2,K1+1).EQ.0.0) GO TO 130
IF(K4.EQ.0) THEN
SSS=(-1.0)**K1
JND1=((IL+2)/2)*L4+KN(NUM,1)+K3*IELEM+K1
JND2=((IL+2)/2)*L4+KN(NUM,2)+K3*IELEM+K1
JND3=((IL+2)/2)*L4+KN(NUM,3)+K3*IELEM+K1
ELSE
SSS=1.0
JND1=((IL+2)/2)*L4+KN(NUM,2)+K1*IELEM+K3
JND2=((IL+2)/2)*L4+KN(NUM,3)+K1*IELEM+K3
JND3=((IL+2)/2)*L4+KN(NUM,4)+K1*IELEM+K3
ENDIF
IF(KNW1.NE.0) THEN
SG=REAL(SIGN(1,KNW1))
FUNKNO(INW1)=FUNKNO(INW1)-SG*SSS*REAL(IL+1)*SIDE*
1 V(K2,K1+1)*FUNKNO(JND1)
ENDIF
IF(KNX1.NE.0) THEN
SG=REAL(SIGN(1,KNX1))
FUNKNO(INX1)=FUNKNO(INX1)-SG*SSS*REAL(IL+1)*SIDE*
1 V(K2,K1+1)*FUNKNO(JND2)
ENDIF
IF(KNY1.NE.0) THEN
SG=REAL(SIGN(1,KNY1))
FUNKNO(INY1)=FUNKNO(INY1)-SG*SSS*REAL(IL+1)*SIDE*
1 V(K2,K1+1)*FUNKNO(JND3)
ENDIF
130 CONTINUE
ENDIF
140 CONTINUE
141 CONTINUE
142 CONTINUE
ENDIF
150 CONTINUE
IF(MOD(IL,2).EQ.1) THEN
CALL ALLDLS(L4,MU,SYS((IL/2)*MUMAX+1),FUNKNO((IL/2)*L4+1))
ENDIF
160 CONTINUE
170 CONTINUE
RETURN
END
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