Initial commit from Polytechnique Montreal

1 files changed, 577 insertions, 0 deletions

diff --git a/Trivac/src/PNSH3D.f b/Trivac/src/PNSH3D.f
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+++ b/Trivac/src/PNSH3D.f
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+*DECK PNSH3D
+      SUBROUTINE PNSH3D (ITY,IPR,NBMIX,NBLOS,IELEM,ICOL,NLF,NVD,NAN,L4,
+     1 LL4F,LL4W,LL4X,LL4Y,MAT,SIGT,SIGTI,SIDE,ZZ,FRZ,QFR,IPERT,KN,LC,
+     2 R,V,CTRAN,FUNKNO,SUNKNO)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Source calculation for a SPN approximation in TRIVAC, 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.
+* IPR     type of assembly:
+*         =0: contains system matrices;
+*         =1: contains derivative of these matrices;
+*         =2: contains first variation of these matrices;
+*         =3: contains addition of first vatiation to unperturbed
+*         system matrices.
+* NBMIX   number of mixtures.
+* NBLOS   number of lozenges per direction, taking into account
+*         mesh-splitting.
+* 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).
+* 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.
+* L4      number of unknowns per energy group and per set of two
+*         Legendre orders.
+* LL4F    number of flux components.
+* LL4W    number of W-directed currents.
+* LL4X    number of X-directed currents.
+* LL4Y    number of Y-directed currents.
+* MAT     index-number of the mixture type assigned to each volume.
+* SIGT    macroscopic cross sections ordered by mixture.
+*         SIGT(:,NAN) generally contains the total cross section only.
+* SIGTI   inverse macroscopic cross sections ordered by mixture.
+*         SIGTI(:,NAN) generally contains the inverse total cross
+*         section only.
+* SIDE    side of an hexagon.
+* ZZ      Z-directed mesh spacings.
+* FRZ     volume fractions for the axial SYME boundary condition.
+* QFR     element-ordered boundary conditions.
+* IPERT   mixture permutation index.
+* KN      ADI permutation indices for the volumes and currents.
+* LC      order of the unit matrices.
+* R       unit Cartesian mass matrix.
+* V       unit nodal coupling matrix.
+* CTRAN   tranverse coupling Piolat unit matrix.
+* FUNKNO  initial fluxes.
+* SUNKNO  initial sources.
+*
+*Parameters: output
+* SUNKNO  modified sources.
+*
+*-----------------------------------------------------------------------
+*
+*----
+*  SUBROUTINE ARGUMENTS
+*----
+      INTEGER ITY,IPR,NBMIX,NBLOS,IELEM,ICOL,NLF,NVD,NAN,L4,LL4F,LL4W,
+     1 LL4X,LL4Y,MAT(3,NBLOS),IPERT(NBLOS),
+     2 KN(NBLOS,3+6*(IELEM+2)*IELEM**2),LC
+      REAL SIGT(NBMIX,NAN),SIGTI(NBMIX,NAN),SIDE,ZZ(3,NBLOS),
+     1 FRZ(NBLOS),QFR(NBLOS,8),R(LC,LC),V(LC,LC-1),SUNKNO(L4*NLF/2),
+     2 FUNKNO(L4*NLF/2)
+      DOUBLE PRECISION CTRAN((IELEM+1)*IELEM,(IELEM+1)*IELEM)
+*----
+*  LOCAL VARIABLES
+*----
+      REAL QQ(5,5)
+      DOUBLE PRECISION FFF,TTTT,UUUU,VOL0,GARS,GARSI,FACT,VAR1
+      REAL, DIMENSION(:), ALLOCATABLE :: DIFF
+*----
+*  SCRATCH STORAGE ALLOCATION
+*----
+      ALLOCATE(DIFF(NBLOS))
+*
+      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
+      DO 16 I0=1,IELEM
+      DO 15 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)
+   15 CONTINUE
+   16 CONTINUE
+*----
+*  MAIN LOOP OVER LEGENDRE ORDERS FOR THE FLUX.
+*----
+      DO 200 IL=0,NLF-1
+      IF((ITY.EQ.1).AND.(IL.GE.NAN)) GO TO 200
+      FACT=REAL(2*IL+1)
+*----
+*  RECOVER CROSS SECTIONS FOR THE PIOLAT TERMS.
+*----
+      IF(MOD(IL,2).EQ.1) THEN
+         DO 20 KEL=1,NBLOS
+         DIFF(KEL)=0.0
+         IF(IPERT(KEL).GT.0) THEN
+            IBM=MAT(1,IPERT(KEL))
+            IF(IBM.GT.0) THEN
+               GARS=SIGT(IBM,MIN(IL+1,NAN))
+               VAR1=FACT*ZZ(1,IPERT(KEL))*FRZ(KEL)*GARS
+               DIFF(KEL)=REAL(VAR1)
+            ENDIF
+         ENDIF
+   20    CONTINUE
+      ENDIF
+*----
+*  COMPUTE THE SOURCE AT ORDER IL.
+*----
+      NELEH=(IELEM+1)*IELEM**2
+      TTTT=0.5D0*SQRT(3.D00)*SIDE*SIDE
+      JOFF=(IL/2)*L4
+      NUM=0
+      DO 180 KEL=1,NBLOS
+      IF(IPERT(KEL).EQ.0) GO TO 180
+      NUM=NUM+1
+      IBM=MAT(1,IPERT(KEL))
+      IF(IBM.EQ.0) GO TO 180
+      DZ=ZZ(1,IPERT(KEL))
+      VOL0=TTTT*DZ*FRZ(KEL)
+      UUUU=SIDE*DZ*FRZ(KEL)
+      GARS=SIGT(IBM,MIN(IL+1,NAN))
+      IF(MOD(IL,2).EQ.0) THEN
+*        EVEN PARITY EQUATION
+         DO 27 K3=0,IELEM-1
+         DO 26 K2=0,IELEM-1
+         DO 25 K1=0,IELEM-1
+         JND1=JOFF+(((NUM-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
+         JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
+         JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
+         SUNKNO(JND1)=SUNKNO(JND1)+REAL(FACT*VOL0*GARS*FUNKNO(JND1))
+         SUNKNO(JND2)=SUNKNO(JND2)+REAL(FACT*VOL0*GARS*FUNKNO(JND2))
+         SUNKNO(JND3)=SUNKNO(JND3)+REAL(FACT*VOL0*GARS*FUNKNO(JND3))
+   25    CONTINUE
+   26    CONTINUE
+   27    CONTINUE
+         IF(ITY.EQ.1) GO TO 180
+         IF((IPR.EQ.1).OR.(IPR.EQ.2)) GO TO 180
+*
+         DO 34 K5=0,1 ! TWO LOZENGES PER HEXAGON
+         DO 33 K4=0,IELEM-1
+         DO 32 K3=0,IELEM-1
+         DO 31 K2=1,IELEM+1
+         KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         INW1=JOFF+LL4F+ABS(KNW1)
+         INX1=JOFF+LL4F+ABS(KNX1)
+         INY1=JOFF+LL4F+ABS(KNY1)
+         DO 30 K1=0,IELEM-1
+         IF(V(K2,K1+1).EQ.0.0) GO TO 30
+         IF(K5.EQ.0) THEN
+            SSS=(-1.0)**K1
+            JND1=JOFF+(((NUM-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+            JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+            JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+         ELSE
+            SSS=1.0
+            JND1=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+            JND2=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+            JND3=JOFF+(((KN(NUM,3)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+         ENDIF
+         IF(KNW1.NE.0) THEN
+            SG=REAL(SIGN(1,KNW1))
+            VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INW1)
+            SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+         ENDIF
+         IF(KNX1.NE.0) THEN
+            SG=REAL(SIGN(1,KNX1))
+            VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INX1)
+            SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)
+         ENDIF
+         IF(KNY1.NE.0) THEN
+            SG=REAL(SIGN(1,KNY1))
+            VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(INY1)
+            SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)
+         ENDIF
+         IF(IL.GE.2) THEN
+            IF(KNW1.NE.0) THEN
+               SG=REAL(SIGN(1,KNW1))
+               VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INW1-L4)
+               SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+            ENDIF
+            IF(KNX1.NE.0) THEN
+               SG=REAL(SIGN(1,KNX1))
+               VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INX1-L4)
+               SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)
+            ENDIF
+            IF(KNY1.NE.0) THEN
+               SG=REAL(SIGN(1,KNY1))
+               VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(INY1-L4)
+               SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)
+            ENDIF
+         ENDIF
+   30    CONTINUE
+   31    CONTINUE
+   32    CONTINUE
+   33    CONTINUE
+   34    CONTINUE
+         DO 43 K5=0,2 ! THREE LOZENGES PER HEXAGON
+         DO 42 K2=0,IELEM-1
+         DO 41 K1=0,IELEM-1
+         KNZ1=KN(NUM,3+6*NELEH+2*K5*IELEM**2+K2*IELEM+K1+1)
+         KNZ2=KN(NUM,3+6*NELEH+(2*K5+1)*IELEM**2+K2*IELEM+K1+1)
+         INZ1=JOFF+LL4F+ABS(KNZ1)
+         INZ2=JOFF+LL4F+ABS(KNZ2)
+         DO 40 K3=0,IELEM-1
+         IF(K5.EQ.0) THEN
+            JND1=JOFF+((((NUM-1)*IELEM)+K3)*IELEM+K2)*IELEM+K1+1
+         ELSE
+            JND1=JOFF+(((KN(NUM,K5)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
+         ENDIF
+         IF(KNZ1.NE.0) THEN
+            SG=REAL(SIGN(1,KNZ1))
+            VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(1,K3+1)*FUNKNO(INZ1)
+            SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+         ENDIF
+         IF(KNZ2.NE.0) THEN
+            SG=REAL(SIGN(1,KNZ2))
+            VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(IELEM+1,K3+1)*FUNKNO(INZ2)
+            SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+         ENDIF
+         IF(IL.GE.2) THEN
+            IF(KNZ1.NE.0) THEN
+               SG=REAL(SIGN(1,KNZ1))
+               VAR1=SG*(VOL0/DZ)*REAL(IL)*V(1,K3+1)*FUNKNO(INZ1-L4)
+               SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+            ENDIF
+            IF(KNZ2.NE.0) THEN
+               SG=REAL(SIGN(1,KNZ2))
+               VAR1=SG*(VOL0/DZ)*REAL(IL)*V(IELEM+1,K3+1)*
+     1         FUNKNO(INZ2-L4)
+               SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)
+            ENDIF
+         ENDIF
+   40    CONTINUE
+   41    CONTINUE
+   42    CONTINUE
+   43    CONTINUE
+      ELSE IF(MOD(IL,2).EQ.1) THEN
+*        PARTIAL INVERSION OF THE ODD PARITY EQUATION. MODIFICATION OF
+*        THE EVEN PARITY EQUATION.
+         GARSI=SIGTI(IBM,MIN(IL+1,NAN))
+         IF(IELEM.GT.1) THEN
+            DO 72 K3=0,IELEM-1
+            DO 71 K2=0,IELEM-1
+            DO 70 K1=0,IELEM-1
+            IF(QQ(K3+1,K3+1).EQ.0.0) GO TO 70
+            JND1=JOFF+(NUM-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
+            JND2=JOFF+(KN(NUM,1)-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
+            JND3=JOFF+(KN(NUM,2)-1)*IELEM**3+K3*IELEM**2+K2*IELEM+K1+1
+            VAR1=(REAL(IL)**2)*VOL0*QQ(K3+1,K3+1)*GARSI/(FACT*DZ*DZ)
+            SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)*FUNKNO(JND1)
+            SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)*FUNKNO(JND2)
+            SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)*FUNKNO(JND3)
+            IF(IL.LE.NLF-3) THEN
+               KND1=JND1+L4
+               KND2=JND2+L4
+               KND3=JND3+L4
+               VAR1=(REAL(IL)*REAL(IL+1))*VOL0*QQ(K3+1,K3+1)*GARSI/
+     1         (FACT*DZ*DZ)
+               SUNKNO(KND1)=SUNKNO(KND1)+REAL(VAR1)*FUNKNO(JND1)
+               SUNKNO(KND2)=SUNKNO(KND2)+REAL(VAR1)*FUNKNO(JND2)
+               SUNKNO(KND3)=SUNKNO(KND3)+REAL(VAR1)*FUNKNO(JND3)
+*
+               SUNKNO(JND1)=SUNKNO(JND1)+REAL(VAR1)*FUNKNO(KND1)
+               SUNKNO(JND2)=SUNKNO(JND2)+REAL(VAR1)*FUNKNO(KND2)
+               SUNKNO(JND3)=SUNKNO(JND3)+REAL(VAR1)*FUNKNO(KND3)
+*
+               VAR1=(REAL(IL+1)**2)*VOL0*QQ(K3+1,K3+1)*GARSI/
+     1         (FACT*DZ*DZ)
+               SUNKNO(KND1)=SUNKNO(KND1)+REAL(VAR1)*FUNKNO(KND1)
+               SUNKNO(KND2)=SUNKNO(KND2)+REAL(VAR1)*FUNKNO(KND2)
+               SUNKNO(KND3)=SUNKNO(KND3)+REAL(VAR1)*FUNKNO(KND3)
+            ENDIF
+   70       CONTINUE
+   71       CONTINUE
+   72       CONTINUE
+         ENDIF
+*        ODD PARITY EQUATION.
+         DO 84 K5=0,1 ! TWO LOZENGES PER HEXAGON
+         DO 83 K4=0,IELEM-1
+         DO 82 K3=0,IELEM-1
+         DO 81 K2=1,IELEM+1
+         KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         INW1=JOFF+LL4F+ABS(KNW1)
+         INX1=JOFF+LL4F+ABS(KNX1)
+         INY1=JOFF+LL4F+ABS(KNY1)
+         DO 80 K1=1,IELEM+1
+         KNW2=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
+         KNX2=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
+         KNY2=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K1)
+         INW2=JOFF+LL4F+ABS(KNW2)
+         INX2=JOFF+LL4F+ABS(KNX2)
+         INY2=JOFF+LL4F+ABS(KNY2)
+         IF((KNW2.NE.0).AND.(KNW1.NE.0)) THEN
+            SG=REAL(SIGN(1,KNW1)*SIGN(1,KNW2))
+            VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INW2)
+            SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
+         ENDIF
+         IF((KNX2.NE.0).AND.(KNX1.NE.0)) THEN
+            SG=REAL(SIGN(1,KNX1)*SIGN(1,KNX2))
+            VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INX2)
+            SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
+         ENDIF
+         IF((KNY2.NE.0).AND.(KNY1.NE.0)) THEN
+            SG=REAL(SIGN(1,KNY1)*SIGN(1,KNY2))
+            VAR1=(4./3.)*SG*FACT*VOL0*GARS*R(K2,K1)*FUNKNO(INY2)
+            SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
+         ENDIF
+   80    CONTINUE
+   81    CONTINUE
+   82    CONTINUE
+   83    CONTINUE
+   84    CONTINUE
+         DO 94 K5=0,2 ! THREE LOZENGES PER HEXAGON
+         DO 93 K2=0,IELEM-1
+         DO 92 K1=0,IELEM-1
+         DO 91 IC=1,2
+         IF(IC.EQ.1) IIC=1
+         IF(IC.EQ.2) IIC=IELEM+1
+         KNZ1=KN(NUM,3+6*NELEH+((2*K5+IC-1)*IELEM+K2)*IELEM+K1+1)
+         INZ1=JOFF+LL4F+ABS(KNZ1)
+         DO 90 JC=1,2
+         IF(JC.EQ.1) JJC=1
+         IF(JC.EQ.2) JJC=IELEM+1
+         KNZ2=KN(NUM,3+6*NELEH+((2*K5+JC-1)*IELEM+K2)*IELEM+K1+1)
+         INZ2=JOFF+LL4F+ABS(KNZ2)
+         IF((KNZ1.NE.0).AND.(KNZ2.NE.0)) THEN
+            SG=REAL(SIGN(1,KNZ1)*SIGN(1,KNZ2))
+            VAR1=SG*FACT*VOL0*GARS*R(IIC,JJC)*FUNKNO(INZ2)
+            SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
+         ENDIF
+   90    CONTINUE
+   91    CONTINUE
+   92    CONTINUE
+   93    CONTINUE
+   94    CONTINUE
+         IF(ITY.EQ.1) GO TO 180
+*----
+*  BOUNDARY CONDITIONS.
+*----
+         DO 133 K5=0,1 ! TWO LOZENGES PER HEXAGON
+         DO 132 K4=0,IELEM-1
+         DO 131 K3=0,IELEM-1
+         DO 130 K2=1,IELEM+1,IELEM
+         KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         INW1=JOFF+LL4F+ABS(KNW1)
+         INX1=JOFF+LL4F+ABS(KNX1)
+         INY1=JOFF+LL4F+ABS(KNY1)
+         IF(KNW1.NE.0) THEN
+            DO 100 IL2=1,NLF-1,2
+            ZMARS=PNMAR2(NZMAR,IL2,IL)
+            INW2=(IL2/2)*L4+LL4F+ABS(KNW1)
+            IF((K2.EQ.1).AND.(K5.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.(K5.EQ.1)) THEN
+               VAR1=0.5*FACT*QFR(NUM,2)*ZMARS*FUNKNO(INW2)
+               SUNKNO(INW1)=SUNKNO(INW1)-REAL(VAR1)
+            ENDIF
+  100       CONTINUE
+         ENDIF
+         IF(KNX1.NE.0) THEN
+            DO 110 IL2=1,NLF-1,2
+            ZMARS=PNMAR2(NZMAR,IL2,IL)
+            INX2=(IL2/2)*L4+LL4F+ABS(KNX1)
+            IF((K2.EQ.1).AND.(K5.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.(K5.EQ.1)) THEN
+               VAR1=0.5*FACT*QFR(NUM,4)*ZMARS*FUNKNO(INX2)
+               SUNKNO(INX1)=SUNKNO(INX1)-REAL(VAR1)
+            ENDIF
+  110       CONTINUE
+         ENDIF
+         IF(KNY1.NE.0) THEN
+            DO 120 IL2=1,NLF-1,2
+            ZMARS=PNMAR2(NZMAR,IL2,IL)
+            INY2=(IL2/2)*L4+LL4F+ABS(KNY1)
+            IF((K2.EQ.1).AND.(K5.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.(K5.EQ.1)) THEN
+               VAR1=0.5*FACT*QFR(NUM,6)*ZMARS*FUNKNO(INY2)
+               SUNKNO(INY1)=SUNKNO(INY1)-REAL(VAR1)
+            ENDIF
+  120       CONTINUE
+         ENDIF
+  130    CONTINUE
+  131    CONTINUE
+  132    CONTINUE
+  133    CONTINUE
+         IF((IPR.EQ.1).OR.(IPR.EQ.2)) GO TO 180
+         DO 153 K5=0,2 ! THREE LOZENGES PER HEXAGON
+         DO 152 K2=0,IELEM-1
+         DO 151 K1=0,IELEM-1
+         DO 150 IC=1,2
+         KNZ1=KN(NUM,3+6*NELEH+((2*K5+IC-1)*IELEM+K2)*IELEM+K1+1)
+         INZ1=JOFF+LL4F+ABS(KNZ1)
+         IF(KNZ1.NE.0) THEN
+            DO 140 IL2=1,NLF-1,2
+            ZMARS=PNMAR2(NZMAR,IL2,IL)
+            INZ2=(IL2/2)*L4+LL4F+ABS(KNZ1)
+            IF(IC.EQ.1) THEN
+               VAR1=0.5*FACT*QFR(NUM,7)*ZMARS*FUNKNO(INZ2)
+               SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
+            ELSE IF(IC.EQ.2) THEN
+               VAR1=0.5*FACT*QFR(NUM,8)*ZMARS*FUNKNO(INZ2)
+               SUNKNO(INZ1)=SUNKNO(INZ1)-REAL(VAR1)
+            ENDIF
+  140       CONTINUE
+         ENDIF
+  150    CONTINUE
+  151    CONTINUE
+  152    CONTINUE
+  153    CONTINUE
+*
+         DO 164 K5=0,1 ! TWO LOZENGES PER HEXAGON
+         DO 163 K4=0,IELEM-1
+         DO 162 K3=0,IELEM-1
+         DO 161 K2=1,IELEM+1
+         KNW1=KN(NUM,3+K5*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNX1=KN(NUM,3+(K5+2)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         KNY1=KN(NUM,3+(K5+4)*NELEH+(K4*IELEM+K3)*(IELEM+1)+K2)
+         INW1=JOFF+LL4F+ABS(KNW1)
+         INX1=JOFF+LL4F+ABS(KNX1)
+         INY1=JOFF+LL4F+ABS(KNY1)
+         DO 160 K1=0,IELEM-1
+         IF(V(K2,K1+1).EQ.0.0) GO TO 160
+         IF(K5.EQ.0) THEN
+            SSS=(-1.0)**K1
+            JND1=JOFF+(((NUM-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+            JND2=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+            JND3=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K3)*IELEM+K1+1
+         ELSE
+            SSS=1.0
+            JND1=JOFF+(((KN(NUM,1)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+            JND2=JOFF+(((KN(NUM,2)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+            JND3=JOFF+(((KN(NUM,3)-1)*IELEM+K4)*IELEM+K1)*IELEM+K3+1
+         ENDIF
+         IF(KNW1.NE.0) THEN
+            SG=REAL(SIGN(1,KNW1))
+            VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND1)
+            SUNKNO(INW1)=SUNKNO(INW1)+REAL(VAR1)
+         ENDIF
+         IF(KNX1.NE.0) THEN
+            SG=REAL(SIGN(1,KNX1))
+            VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND2)
+            SUNKNO(INX1)=SUNKNO(INX1)+REAL(VAR1)
+         ENDIF
+         IF(KNY1.NE.0) THEN
+            SG=REAL(SIGN(1,KNY1))
+            VAR1=SG*SSS*REAL(IL)*UUUU*V(K2,K1+1)*FUNKNO(JND3)
+            SUNKNO(INY1)=SUNKNO(INY1)+REAL(VAR1)
+         ENDIF
+         IF(IL.LE.NLF-3) THEN
+            IF(KNW1.NE.0) THEN
+               SG=REAL(SIGN(1,KNW1))
+               VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND1+L4)
+               SUNKNO(INW1)=SUNKNO(INW1)+REAL(VAR1)
+            ENDIF
+            IF(KNX1.NE.0) THEN
+               SG=REAL(SIGN(1,KNX1))
+               VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND2+L4)
+               SUNKNO(INX1)=SUNKNO(INX1)+REAL(VAR1)
+            ENDIF
+            IF(KNY1.NE.0) THEN
+               SG=REAL(SIGN(1,KNY1))
+               VAR1=SG*SSS*REAL(IL+1)*UUUU*V(K2,K1+1)*FUNKNO(JND3+L4)
+               SUNKNO(INY1)=SUNKNO(INY1)+REAL(VAR1)
+            ENDIF
+         ENDIF
+  160    CONTINUE
+  161    CONTINUE
+  162    CONTINUE
+  163    CONTINUE
+  164    CONTINUE
+         DO 173 K5=0,2 ! THREE LOZENGES PER HEXAGON
+         DO 172 K2=0,IELEM-1
+         DO 171 K1=0,IELEM-1
+         KNZ1=KN(NUM,3+6*NELEH+2*K5*IELEM**2+K2*IELEM+K1+1)
+         KNZ2=KN(NUM,3+6*NELEH+(2*K5+1)*IELEM**2+K2*IELEM+K1+1)
+         INZ1=JOFF+LL4F+ABS(KNZ1)
+         INZ2=JOFF+LL4F+ABS(KNZ2)
+         DO 170 K3=0,IELEM-1
+         IF(K5.EQ.0) THEN
+            JND1=JOFF+((((NUM-1)*IELEM)+K3)*IELEM+K2)*IELEM+K1+1
+         ELSE
+            JND1=JOFF+(((KN(NUM,K5)-1)*IELEM+K3)*IELEM+K2)*IELEM+K1+1
+         ENDIF
+         IF(KNZ1.NE.0) THEN
+            SG=REAL(SIGN(1,KNZ1))
+            VAR1=SG*(VOL0/DZ)*REAL(IL)*V(1,K3+1)*FUNKNO(JND1)
+            SUNKNO(INZ1)=SUNKNO(INZ1)+REAL(VAR1)
+         ENDIF
+         IF(KNZ2.NE.0) THEN
+            SG=REAL(SIGN(1,KNZ2))
+            VAR1=SG*(VOL0/DZ)*REAL(IL)*V(IELEM+1,K3+1)*FUNKNO(JND1)
+            SUNKNO(INZ2)=SUNKNO(INZ2)+REAL(VAR1)
+         ENDIF
+         IF(IL.LE.NLF-3) THEN
+            IF(KNZ1.NE.0) THEN
+               SG=REAL(SIGN(1,KNZ1))
+               VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(1,K3+1)*FUNKNO(JND1+L4)
+               SUNKNO(INZ1)=SUNKNO(INZ1)+REAL(VAR1)
+            ENDIF
+            IF(KNZ2.NE.0) THEN
+               SG=REAL(SIGN(1,KNZ2))
+               VAR1=SG*(VOL0/DZ)*REAL(IL+1)*V(IELEM+1,K3+1)*
+     1         FUNKNO(JND1+L4)
+               SUNKNO(INZ2)=SUNKNO(INZ2)+REAL(VAR1)
+            ENDIF
+         ENDIF
+  170    CONTINUE
+  171    CONTINUE
+  172    CONTINUE
+  173    CONTINUE
+      ENDIF
+  180 CONTINUE
+      IF(MOD(IL,2).EQ.1) THEN
+         IOFW=JOFF+LL4F
+         IOFX=JOFF+LL4F+LL4W
+         IOFY=JOFF+LL4F+LL4W+LL4X
+         CALL FLDPWY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFY+1),SUNKNO(IOFW+1))
+         CALL FLDPWX(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFX+1),SUNKNO(IOFW+1))
+         CALL FLDPXW(LL4W,LL4X,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFW+1),SUNKNO(IOFX+1))
+         CALL FLDPXY(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFY+1),SUNKNO(IOFX+1))
+         CALL FLDPYX(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFX+1),SUNKNO(IOFY+1))
+         CALL FLDPYW(LL4W,LL4X,LL4Y,NBLOS,IELEM,CTRAN,IPERT,KN,DIFF,
+     1   FUNKNO(IOFW+1),SUNKNO(IOFY+1))
+      ENDIF
+  200 CONTINUE
+*----
+*  SCRATCH STORAGE DEALLOCATION
+*----
+      DEALLOCATE(DIFF)
+      RETURN
+      END