*DECK TRIHCO SUBROUTINE TRIHCO (IR,K,NEL,VOL0,MAT,DIF,DDF,SIDE,ZZ,KN,QFR,IWRK, 1 IPR,A) * *----------------------------------------------------------------------- * *Purpose: * Compute the value or the derivative or variation of mesh centered * finite difference coefficients in element K for hexagonal geometry. * *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 * IR first dimension of matrix DIF. * K index of finite element under consideration. * NEL total number of finite elements. * VOL0 volume of finite element under consideration. * MAT mixture index assigned to each element. * DIF directional diffusion coefficients. * DDF derivative or variation of directional diffusion coefficients. * SIDE side of the hexagons. * ZZ Z-directed mesh spacings. * KN element-ordered unknown list: * .GT.0 neighbour index; * =-1 void/albedo boundary condition; * =-2 reflection boundary condition; * =-3 ZERO flux boundary condition; * =-4 SYME boundary condition (axial symmetry). * QFR element-ordered boundary conditions. * IWRK non-void indices. * IPR type of MCFD coefficients: * .eq.0 direct MCFD coefficients calculation; * .eq.1 take derivative of MCFD coefficients; * .ge.2 take variation of MCFD coefficients. * *Parameters: output * A value or derivative or variation of mesh centered finite * difference coefficients. * *----------------------------------------------------------------------- * *---- * SUBROUTINE ARGUMENTS *---- INTEGER IR,K,MAT(NEL),KN(8),IWRK(NEL),IPR REAL VOL0,DIF(IR,3),DDF(IR,3),SIDE,ZZ(NEL),QFR(8) DOUBLE PRECISION A(8) *---- * LOCAL VARIABLES *---- DOUBLE PRECISION SHARM,VHARM,DHARM * * FORMULE DIRECTE: SHARM(X1,X2,DIF1,DIF2)=2.0D0*DIF1*DIF2/(X1*DIF2+X2*DIF1) * FORMULE DE VARIATION: VHARM(X1,X2,DIF1,DIF2,DDF1,DDF2)=2.0D0*((DIF1+DDF1)*(DIF2+DDF2) 1 /(X1*(DIF2+DDF2)+X2*(DIF1+DDF1))-DIF1*DIF2/(X1*DIF2+X2*DIF1)) * FORMULE DE DERIVEE: DHARM(X1,X2,DIF1,DIF2,DDF1,DDF2)=2.0D0*(X1*DIF2*DIF2*DDF1+ 1 X2*DIF1*DIF1*DDF2)/(X1*DIF2+X2*DIF1)**2 * DENOM=2.0 L=MAT(K) DZ=ZZ(K) DS=SQRT(3.0)*SIDE IF(IPR.EQ.0) THEN * COTE W NEGATIF: KK1=KN(6) IF(KK1.GT.0) THEN A(6)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK1)),1))*DZ*SIDE ELSE IF(KK1.EQ.-1) THEN A(6)=SHARM(DS,DS,DIF(L,1),DS*QFR(6)/DENOM)*DZ*SIDE ELSE IF(KK1.EQ.-2) THEN A(6)=0.0D0 ELSE IF(KK1.EQ.-3) THEN A(6)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE W POSITIF: KK2=KN(3) IF(KK2.GT.0) THEN A(3)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK2)),1))*DZ*SIDE ELSE IF(KK2.EQ.-1) THEN A(3)=SHARM(DS,DS,DIF(L,1),DS*QFR(3)/DENOM)*DZ*SIDE ELSE IF(KK2.EQ.-2) THEN A(3)=0.0D0 ELSE IF(KK2.EQ.-3) THEN A(3)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE X NEGATIF: KK3=KN(1) IF(KK3.GT.0) THEN A(1)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK3)),1))*DZ*SIDE ELSE IF(KK3.EQ.-1) THEN A(1)=SHARM(DS,DS,DIF(L,1),DS*QFR(1)/DENOM)*DZ*SIDE ELSE IF(KK3.EQ.-2) THEN A(1)=0.0D0 ELSE IF(KK3.EQ.-3) THEN A(1)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE X POSITIF: KK4=KN(4) IF(KK4.GT.0) THEN A(4)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK4)),1))*DZ*SIDE ELSE IF(KK4.EQ.-1) THEN A(4)=SHARM(DS,DS,DIF(L,1),DS*QFR(4)/DENOM)*DZ*SIDE ELSE IF(KK4.EQ.-2) THEN A(4)=0.0D0 ELSE IF(KK4.EQ.-3) THEN A(4)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE Y NEGATIF: KK5=KN(2) IF(KK5.GT.0) THEN A(2)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK5)),1))*DZ*SIDE ELSE IF(KK5.EQ.-1) THEN A(2)=SHARM(DS,DS,DIF(L,1),DS*QFR(2)/DENOM)*DZ*SIDE ELSE IF(KK5.EQ.-2) THEN A(2)=0.0D0 ELSE IF(KK5.EQ.-3) THEN A(2)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE Y POSITIF: KK6=KN(5) IF(KK6.GT.0) THEN A(5)=SHARM(DS,DS,DIF(L,1),DIF(MAT(IWRK(KK6)),1))*DZ*SIDE ELSE IF(KK6.EQ.-1) THEN A(5)=SHARM(DS,DS,DIF(L,1),DS*QFR(5)/DENOM)*DZ*SIDE ELSE IF(KK6.EQ.-2) THEN A(5)=0.0D0 ELSE IF(KK6.EQ.-3) THEN A(5)=2.0D0*SHARM(DS,DS,DIF(L,1),DIF(L,1))*DZ*SIDE ENDIF * COTE Z NEGATIF: KK7=KN(7) IF(KK7.GT.0) THEN A(7)=SHARM(DZ,ZZ(IWRK(KK7)),DIF(L,3),DIF(MAT(IWRK(KK7)),3)) * *VOL0/DZ ELSE IF(KK7.EQ.-1) THEN A(7)=SHARM(DZ,DZ,DIF(L,3),DZ*QFR(7)/DENOM)*VOL0/DZ ELSE IF(KK7.EQ.-2) THEN A(7)=0.0D0 ELSE IF(KK7.EQ.-3) THEN A(7)=2.0D0*SHARM(DZ,DZ,DIF(L,3),DIF(L,3))*VOL0/DZ ENDIF * COTE Z POSITIF: KK8=KN(8) IF(KK8.GT.0) THEN A(8)=SHARM(DZ,ZZ(IWRK(KK8)),DIF(L,3),DIF(MAT(IWRK(KK8)),3)) * *VOL0/DZ ELSE IF(KK8.EQ.-1) THEN A(8)=SHARM(DZ,DZ,DIF(L,3),DZ*QFR(8)/DENOM)*VOL0/DZ ELSE IF(KK8.EQ.-2) THEN A(8)=0.0D0 ELSE IF(KK8.EQ.-3) THEN A(8)=2.0D0*SHARM(DZ,DZ,DIF(L,3),DIF(L,3))*VOL0/DZ ENDIF ELSE IF(IPR.EQ.1) THEN * FORMULE DE DERIVEE. * COTE W NEGATIF: KK1=KN(6) IF(KK1.GT.0) THEN KK1=IWRK(KK1) A(6)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK1),1),DDF(L,1), 1 DDF(MAT(KK1),1))*DZ*SIDE ELSE IF(KK1.EQ.-1) THEN A(6)=DHARM(DS,DS,DIF(L,1),DS*QFR(6)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK1.EQ.-2) THEN A(6)=0.0D0 ELSE IF(KK1.EQ.-3) THEN A(6)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE W POSITIF: KK2=KN(3) IF(KK2.GT.0) THEN KK2=IWRK(KK2) A(3)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK2),1),DDF(L,1), 1 DDF(MAT(KK2),1))*DZ*SIDE ELSE IF(KK2.EQ.-1) THEN A(3)=DHARM(DS,DS,DIF(L,1),DS*QFR(3)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK2.EQ.-2) THEN A(3)=0.0D0 ELSE IF(KK2.EQ.-3) THEN A(3)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE X NEGATIF: KK3=KN(1) IF(KK3.GT.0) THEN KK3=IWRK(KK3) A(1)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK3),1),DDF(L,1), 1 DDF(MAT(KK3),1))*DZ*SIDE ELSE IF(KK3.EQ.-1) THEN A(1)=DHARM(DS,DS,DIF(L,1),DS*QFR(1)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK3.EQ.-2) THEN A(3)=0.0D0 ELSE IF(KK3.EQ.-3) THEN A(3)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE X POSITIF: KK4=KN(4) IF(KK4.GT.0) THEN KK4=IWRK(KK4) A(4)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK4),1),DDF(L,1), 1 DDF(MAT(KK4),1))*DZ*SIDE ELSE IF(KK4.EQ.-1) THEN A(4)=DHARM(DS,DS,DIF(L,1),DS*QFR(4)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK4.EQ.-2) THEN A(4)=0.0D0 ELSE IF(KK4.EQ.-3) THEN A(4)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Y NEGATIF: KK5=KN(2) IF(KK5.GT.0) THEN KK5=IWRK(KK5) A(2)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK5),1),DDF(L,1), 1 DDF(MAT(KK5),1))*DZ*SIDE ELSE IF(KK5.EQ.-1) THEN A(2)=DHARM(DS,DS,DIF(L,1),DZ*QFR(2)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK5.EQ.-2) THEN A(2)=0.0D0 ELSE IF(KK5.EQ.-3) THEN A(2)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Y POSITIF: KK6=KN(5) IF(KK6.GT.0) THEN KK6=IWRK(KK6) A(5)=DHARM(DS,DS,DIF(L,1),DIF(MAT(KK6),1),DDF(L,1), 1 DDF(MAT(KK6),1))*DZ*SIDE ELSE IF(KK6.EQ.-1) THEN A(5)=DHARM(DS,DS,DIF(L,1),DS*QFR(5)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK6.EQ.-2) THEN A(5)=0.0D0 ELSE IF(KK6.EQ.-3) THEN A(5)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Z NEGATIF: KK7=KN(7) IF(KK7.GT.0) THEN KK7=IWRK(KK7) A(7)=DHARM(DZ,ZZ(KK7),DIF(L,3),DIF(MAT(KK7),3),DDF(L,3), 1 DDF(MAT(KK7),3))*VOL0/DZ ELSE IF(KK7.EQ.-1) THEN A(7)=DHARM(DZ,DZ,DIF(L,3),DZ*QFR(7)/DENOM,DDF(L,3),0.0) 1 *VOL0/DZ ELSE IF(KK7.EQ.-2) THEN A(7)=0.0D0 ELSE IF(KK7.EQ.-3) THEN A(7)=2.0D0*DDF(L,3)*VOL0/(DZ*DZ) ENDIF * COTE Z POSITIF: KK8=KN(8) IF(KK8.GT.0) THEN KK8=IWRK(KK8) A(8)=DHARM(DZ,ZZ(KK8),DIF(L,3),DIF(MAT(KK8),3),DDF(L,3), 1 DDF(MAT(KK8),3))*VOL0/DZ ELSE IF(KK8.EQ.-1) THEN A(8)=DHARM(DZ,DZ,DIF(L,3),DZ*QFR(8)/DENOM,DDF(L,3),0.0) 1 *VOL0/DZ ELSE IF(KK8.EQ.-2) THEN A(8)=0.0D0 ELSE IF(KK8.EQ.-3) THEN A(8)=2.0D0*DDF(L,3)*VOL0/(DZ*DZ) ENDIF ELSE * FORMULE DE VARIATION. * COTE W NEGATIF: KK1=KN(6) IF(KK1.GT.0) THEN KK1=IWRK(KK1) A(6)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK1),1),DDF(L,1), 1 DDF(MAT(KK1),1))*DZ*SIDE ELSE IF(KK1.EQ.-1) THEN A(6)=VHARM(DS,DS,DIF(L,1),DS*QFR(6)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK1.EQ.-2) THEN A(6)=0.0D0 ELSE IF(KK1.EQ.-3) THEN A(6)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE W POSITIF: KK2=KN(3) IF(KK2.GT.0) THEN KK2=IWRK(KK2) A(3)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK2),1),DDF(L,1), 1 DDF(MAT(KK2),1))*DZ*SIDE ELSE IF(KK2.EQ.-1) THEN A(3)=VHARM(DS,DS,DIF(L,1),DS*QFR(3)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK2.EQ.-2) THEN A(3)=0.0D0 ELSE IF(KK2.EQ.-3) THEN A(3)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE X NEGATIF: KK3=KN(1) IF(KK3.GT.0) THEN KK3=IWRK(KK3) A(1)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK3),1),DDF(L,1), 1 DDF(MAT(KK3),1))*DZ*SIDE ELSE IF(KK3.EQ.-1) THEN A(1)=VHARM(DS,DS,DIF(L,1),DS*QFR(1)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK3.EQ.-2) THEN A(1)=0.0D0 ELSE IF(KK3.EQ.-3) THEN A(1)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE X POSITIF: KK4=KN(4) IF(KK4.GT.0) THEN KK4=IWRK(KK4) A(4)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK4),1),DDF(L,1), 1 DDF(MAT(KK4),1))*DZ*SIDE ELSE IF(KK4.EQ.-1) THEN A(4)=VHARM(DS,DS,DIF(L,1),DS*QFR(4)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK4.EQ.-2) THEN A(4)=0.0D0 ELSE IF(KK4.EQ.-3) THEN A(4)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Y NEGATIF: KK5=KN(2) IF(KK5.GT.0) THEN KK5=IWRK(KK5) A(2)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK5),1),DDF(L,1), 1 DDF(MAT(KK5),1))*DZ*SIDE ELSE IF(KK5.EQ.-1) THEN A(2)=VHARM(DS,DS,DIF(L,1),DS*QFR(2)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK5.EQ.-2) THEN A(2)=0.0D0 ELSE IF(KK5.EQ.-3) THEN A(2)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Y POSITIF: KK6=KN(5) IF(KK6.GT.0) THEN KK6=IWRK(KK6) A(5)=VHARM(DS,DS,DIF(L,1),DIF(MAT(KK6),1),DDF(L,1), 1 DDF(MAT(KK6),1))*DZ*SIDE ELSE IF(KK6.EQ.-1) THEN A(5)=VHARM(DS,DS,DIF(L,1),DS*QFR(5)/DENOM,DDF(L,1),0.0) 1 *DZ*SIDE ELSE IF(KK6.EQ.-2) THEN A(5)=0.0D0 ELSE IF(KK6.EQ.-3) THEN A(5)=2.0D0*DDF(L,1)*DZ*SIDE/DS ENDIF * COTE Z NEGATIF: KK7=KN(7) IF(KK7.GT.0) THEN KK7=IWRK(KK7) A(7)=VHARM(DZ,ZZ(KK7),DIF(L,3),DIF(MAT(KK7),3),DDF(L,3), 1 DDF(MAT(KK7),3))*VOL0/DZ ELSE IF(KK7.EQ.-1) THEN A(7)=VHARM(DZ,DZ,DIF(L,3),DZ*QFR(7)/DENOM,DDF(L,3),0.0) 1 *VOL0/DZ ELSE IF(KK7.EQ.-2) THEN A(7)=0.0D0 ELSE IF(KK7.EQ.-3) THEN A(7)=2.0D0*DDF(L,3)*VOL0/(DZ*DZ) ENDIF * COTE Z POSITIF: KK8=KN(8) IF(KK8.GT.0) THEN KK8=IWRK(KK8) A(8)=VHARM(DZ,ZZ(KK8),DIF(L,3),DIF(MAT(KK8),3),DDF(L,3), 1 DDF(MAT(KK8),3))*VOL0/DZ ELSE IF(KK8.EQ.-1) THEN A(8)=VHARM(DZ,DZ,DIF(L,3),DZ*QFR(8)/DENOM,DDF(L,3),0.0) 1 *VOL0/DZ ELSE IF(KK8.EQ.-2) THEN A(8)=0.0D0 ELSE IF(KK8.EQ.-3) THEN A(8)=2.0D0*DDF(L,3)*VOL0/(DZ*DZ) ENDIF ENDIF RETURN END