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*DECK VALUE2
SUBROUTINE VALUE2 (LC,MKN,LX,LY,LZ,L4,X,Y,Z,XXX,YYY,ZZZ,EVECT,
+ ISS,KN,IXLG,IYLG,IZLG,E,AXYZ)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Interpolate the flux distribution for PRIM method in 3D.
*
*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. Hebert
*
*Parameters: input
* LC order of the unit matrices.
* MKN second dimension for matrix KN.
* LX number of elements along the X axis.
* LY number of elements along the Y axis.
* LZ number of elements along the Z axis.
* L4 dimension of unknown array EVECT.
* X Cartesian coordinates along the X axis where the flux is
* interpolated.
* Y Cartesian coordinates along the Y axis where the flux is
* interpolated.
* Z Cartesian coordinates along the Z axis where the flux is
* interpolated.
* XXX Cartesian coordinates along the X axis.
* YYY Cartesian coordinates along the Y axis.
* ZZZ Cartesian coordinates along the Z axis.
* EVECT variational coefficients of the flux.
* ISS mixture index assigned to each element.
* KN element-ordered unknown list.
* IELEM MCFD polynomial order (IELEM=1 is the mesh centered finite
* difference method).
* IXLG number of interpolated points according to X.
* IYLG number of interpolated points according to Y.
* IZLG number of interpolated points according to Z.
* E Lagrange polynomial coefficients.
*
*Parameters: output
* AXYZ interpolated fluxes.
*
*----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER LC,MKN,LX,LY,LZ,L4,ISS(LX*LY*LZ),KN(LX*LY*LZ*MKN),IXLG,
1 IYLG,IZLG
REAL X(IXLG),Y(IYLG),Z(IZLG),XXX(LX+1),YYY(LY+1),ZZZ(LZ+1),
1 EVECT(L4),AXYZ(IXLG,IYLG,IZLG),E(LC,LC)
*----
* LOCAL VARIABLES
*----
INTEGER IJ1(125),IJ2(125),IJ3(125)
REAL FLX(5),FLY(5),FLZ(5)
*----
* ALLOCATABLE ARRAYS
*----
INTEGER, ALLOCATABLE, DIMENSION(:) :: IWRK
REAL, ALLOCATABLE, DIMENSION(:,:) ::COEF
*----
* Scratch storage allocation
*----
ALLOCATE(IWRK(LX*LY*LZ),COEF(LX*LY*LZ,MKN))
*----
* Calculation of IJ integer arrays
*----
LL=LC*LC*LC
DO 5 L=1,LL
L1=1+MOD(L-1,LC)
L2=1+(L-L1)/LC
L3=1+MOD(L2-1,LC)
IJ1(L)=L1
IJ2(L)=L3
IJ3(L)=1+(L2-L3)/LC
5 CONTINUE
*
NUM=0
DO 10 I=1,LX*LY*LZ
IWRK(I)=0
IF (ISS(I).EQ.0) GO TO 10
IWRK(I)=NUM
NUM=NUM+1
10 CONTINUE
*
DO 120 K=1,IZLG
COTE=Z(K)
DO 110 J=1,IYLG
ORDO=Y(J)
DO 100 I=1,IXLG
ABSC=X(I)
AXYZ(I,J,K)=0.0
*
* Find the finite element index containing the interpolation point
IS=0
JS=0
KS=0
DO 20 L=1,LX
IS=L
IF((ABSC.GE.XXX(L)).AND.(ABSC.LE.XXX(L+1))) GO TO 30
20 CONTINUE
CALL XABORT('VALUE2: WRONG INTERPOLATION(1).')
30 DO 40 L=1,LY
JS=L
IF((ORDO.GE.YYY(L)).AND.(ORDO.LE.YYY(L+1))) GO TO 50
40 CONTINUE
CALL XABORT('VALUE2: WRONG INTERPOLATION(2).')
50 DO 60 L=1,LZ
KS=L
IF((COTE.GE.ZZZ(L)).AND.(COTE.LE.ZZZ(L+1))) GO TO 70
60 CONTINUE
CALL XABORT('VALUE2: WRONG INTERPOLATION(3).')
70 IEL=(KS-1)*LX*LY+(JS-1)*LX+IS
*
IF(ISS(IEL).EQ.0) GO TO 100
NUM=IWRK(IEL)
IF (NUM.NE.-1) THEN
DO 85 M=1,LL
I1=IJ1(M)
I2=IJ2(M)
I3=IJ3(M)
COEF(IEL,M)=0.0
DO 80 N=1,LL
IND2=KN(LL*NUM+N)
IF (IND2.EQ.0) GO TO 80
J1=IJ1(N)
J2=IJ2(N)
J3=IJ3(N)
COEF(IEL,M)=COEF(IEL,M)+E(I1,J1)*E(I2,J2)*E(I3,J3)*EVECT(IND2)
80 CONTINUE
85 CONTINUE
IWRK(IEL)=-1
ENDIF
*
U=(ABSC-0.5*(XXX(IS)+XXX(IS+1)))/(XXX(IS+1)-XXX(IS))
FLX(1)=1.0
FLX(2)=FLX(1)*U
FLX(3)=FLX(2)*U
FLX(4)=FLX(3)*U
FLX(5)=FLX(4)*U
V=(ORDO-0.5*(YYY(JS)+YYY(JS+1)))/(YYY(JS+1)-YYY(JS))
FLY(1)=1.0
FLY(2)=FLY(1)*V
FLY(3)=FLY(2)*V
FLY(4)=FLY(3)*V
FLY(5)=FLY(4)*V
W=(COTE-0.5*(ZZZ(KS)+ZZZ(KS+1)))/(ZZZ(KS+1)-ZZZ(KS))
FLZ(1)=1.0
FLZ(2)=FLZ(1)*W
FLZ(3)=FLZ(2)*W
FLZ(4)=FLZ(3)*W
FLZ(5)=FLZ(4)*W
DO 90 L=1,LL
I1=IJ1(L)
I2=IJ2(L)
I3=IJ3(L)
AXYZ(I,J,K)=AXYZ(I,J,K)+COEF(IEL,L)*FLX(I1)*FLY(I2)*FLZ(I3)
90 CONTINUE
100 CONTINUE
110 CONTINUE
120 CONTINUE
*----
* Scratch storage deallocation
*----
DEALLOCATE(COEF,IWRK)
RETURN
END
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