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*DECK TRICYL
SUBROUTINE TRICYL(MAXMIX,IMPX,ICHX,IDIM,LX,LY,LZ,XX,YY,ZZ,VOL,
1 MAT,NCODE,ZALB,NR0,RR0,XR0,ANG,SGD,QFR)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the albedo term corresponding to a cylinderized boundary
* in Cartesian 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): R. Roy
*
*Parameters: input
* MAXMIX first dimension of matrix SGD.
* IMPX print parameter (equal to zero for no print).
* ICHX type of finite element approximation:
* =1 primal (Lagrangian) finite elements or mesh corner finit
* differences;
* =2 dual finite elements;
* =3 or 4 nodal collocation method or mesh centered finite
* differences.
* IDIM number of dimensions.
* LX number of elements along the X axis.
* LY number of elements along the Y axis.
* LZ number of elements along the Z axis.
* XX X-directed mesh spacings.
* YY Y-directed mesh spacings.
* ZZ Z-directed mesh spacings.
* VOL volume of each element.
* MAT mixture index of each element.
* NCODE type of boundary condition applied on each side
* (i=1: X- i=2: X+ i=3: Y- i=4: Y+):
* NCODE(I)=1: VOID; NCODE(I)=2: REFL; NCODE(I)=5: SYME;
* NCODE(I)=7: ZERO; NCODE(I)=20: VOID on cylindrical boundary.
* ZALB albedo function corresponding to boundary condition 'VOID' on
* each side (ZALB(I)=0.0 by default).
* NR0 number of radii.
* RR0 radii.
* XR0 coordinates on principal axis.
* ANG angles for applying circular correction.
* SGD directional diffusion coefficients per mixture.
*
*Parameters: output
* QFR boundary transmission factor.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MAXMIX,IMPX,ICHX,IDIM,LX,LY,LZ,MAT(LX*LY*LZ),NCODE(6),NR0
REAL XX(LX*LY*LZ),YY(LX*LY*LZ),ZZ(LX*LY*LZ),VOL(LX*LY*LZ),
1 ZALB(6),RR0(NR0),XR0(NR0),ANG(NR0),SGD(MAXMIX,3),QFR(6*LX*LY*LZ)
*----
* LOCAL VARIABLES
*----
LOGICAL LL1
CHARACTER*4 CAXE(3)
REAL CENTER(3),CELEM(3)
REAL, DIMENSION(:), ALLOCATABLE :: XXX,YYY,ZZZ
DATA CAXE / '(X) ', '(Y) ', '(Z) ' /
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(XXX(LX+1),YYY(LY+1),ZZZ(LZ+1))
*----
* DETERMINE CARTESIAN COORDINATES
*----
KEL=0
ZZZ(1)=0.0
DO 12 K0=1,LZ
YYY(1)=0.0
DO 11 K1=1,LY
XXX(1)=0.0
DO 10 K2=1,LX
KEL=KEL+1
IF(MAT(KEL).LE.0) GO TO 10
XXX(K2+1)=XXX(K2)+XX(KEL)
YYY(K1+1)=YYY(K1)+YY(KEL)
ZZZ(K0+1)=ZZZ(K0)+ZZ(KEL)
10 CONTINUE
11 CONTINUE
12 CONTINUE
*
CALL TRIKAX (IDIM,NCODE,XXX,YYY,ZZZ,LX,LY,LZ,IAXIS,CENTER)
IF((IAXIS.GT.0).AND.(IMPX.GT.0)) THEN
WRITE(6,600) CAXE(IAXIS),
1 CAXE(MOD(IAXIS ,3)+1), CENTER(MOD(IAXIS ,3)+1),
2 CAXE(MOD(IAXIS+1,3)+1), CENTER(MOD(IAXIS+1,3)+1)
ENDIF
IF(NR0.LE.0) CALL XABORT('TRICYL: B.C. RADIUS NOT DEFINED.')
*
NUM2=0
KEL=0
DO 152 K0=1,LZ
DO 151 K1=1,LY
DO 150 K2=1,LX
KEL=KEL+1
L=MAT(KEL)
IF(L.LE.0) GO TO 150
*
IF(K2.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL-1).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(1).EQ.20)) THEN
CELEM(1)=XXX(K2)
CELEM(2)=0.5*(YYY(K1+1)+YYY(K1))
CELEM(3)=0.5*(ZZZ(K0+1)+ZZZ(K0))
CALL TRIZNR(IMPX,1,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+1)=(SGD(L,1)*ZALB(1)+QTRI)/(SGD(L,1)*QFRI)
ELSE
QFR(NUM2+1)=SGD(L,1)*QFRI*ZALB(1)/(SGD(L,1)+QTRI*ZALB(1))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+1)=QFR(NUM2+1)*VOL(KEL)/(XXX(K2+1)-XXX(K2))
ENDIF
ENDIF
*
IF(K2.EQ.LX) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL+1).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(2).EQ.20)) THEN
CELEM(1)=XXX(K2+1)
CELEM(2)=0.5*(YYY(K1+1)+YYY(K1))
CELEM(3)=0.5*(ZZZ(K0+1)+ZZZ(K0))
CALL TRIZNR(IMPX,2,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+2)=(SGD(L,1)*ZALB(2)+QTRI)/(SGD(L,1)*QFRI)
ELSE
QFR(NUM2+2)=SGD(L,1)*QFRI*ZALB(2)/(SGD(L,1)+QTRI*ZALB(2))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+2)=QFR(NUM2+2)*VOL(KEL)/(XXX(K2+1)-XXX(K2))
ENDIF
ENDIF
*
IF(K1.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL-LX).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(3).EQ.20)) THEN
CELEM(1)=0.5*(XXX(K2+1)+XXX(K2))
CELEM(2)=YYY(K1)
CELEM(3)=0.5*(ZZZ(K0+1)+ZZZ(K0))
CALL TRIZNR(IMPX,3,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+3)=(SGD(L,2)*ZALB(3)+QTRI)/(SGD(L,2)*QFRI)
ELSE
QFR(NUM2+3)=SGD(L,2)*QFRI*ZALB(3)/(SGD(L,2)+QTRI*ZALB(3))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+3)=QFR(NUM2+3)*VOL(KEL)/(YYY(K1+1)-YYY(K1))
ENDIF
ENDIF
*
IF(K1.EQ.LY) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL+LX).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(4).EQ.20)) THEN
CELEM(1)=0.5*(XXX(K2+1)+XXX(K2))
CELEM(2)=YYY(K1+1)
CELEM(3)=0.5*(ZZZ(K0+1)+ZZZ(K0))
CALL TRIZNR(IMPX,4,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+4)=(SGD(L,2)*ZALB(4)+QTRI)/(SGD(L,2)*QFRI)
ELSE
QFR(NUM2+4)=SGD(L,2)*QFRI*ZALB(4)/(SGD(L,2)+QTRI*ZALB(4))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+4)=QFR(NUM2+4)*VOL(KEL)/(YYY(K1+1)-YYY(K1))
ENDIF
ENDIF
*
IF(K0.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL-LX*LY).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(5).EQ.20)) THEN
CELEM(1)=0.5*(XXX(K2+1)+XXX(K2))
CELEM(2)=0.5*(YYY(K1+1)+YYY(K1))
CELEM(3)=ZZZ(K0)
CALL TRIZNR(IMPX,5,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+5)=(SGD(L,3)*ZALB(5)+QTRI)/(SGD(L,3)*QFRI)
ELSE
QFR(NUM2+5)=SGD(L,3)*QFRI*ZALB(5)/(SGD(L,3)+QTRI*ZALB(5))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+5)=QFR(NUM2+5)*VOL(KEL)/(ZZZ(K0+1)-ZZZ(K0))
ENDIF
ENDIF
*
IF(K0.EQ.LZ) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(KEL+LX*LY).EQ.0)
ENDIF
IF(LL1.AND.(NCODE(6).EQ.20)) THEN
CELEM(1)=0.5*(XXX(K2+1)+XXX(K2))
CELEM(2)=0.5*(YYY(K1+1)+YYY(K1))
CELEM(3)=ZZZ(K0+1)
CALL TRIZNR(IMPX,6,CENTER,CELEM,IAXIS,NR0,RR0,XR0,ANG,QFRI,
1 QTRI)
IF(ICHX.EQ.2) THEN
QFR(NUM2+6)=(SGD(L,3)*ZALB(6)+QTRI)/(SGD(L,3)*QFRI)
ELSE
QFR(NUM2+6)=SGD(L,3)*QFRI*ZALB(6)/(SGD(L,3)+QTRI*ZALB(6))
ENDIF
IF((ICHX.EQ.1).OR.(ICHX.EQ.2)) THEN
QFR(NUM2+6)=QFR(NUM2+6)*VOL(KEL)/(ZZZ(K0+1)-ZZZ(K0))
ENDIF
ENDIF
*
IF((NCODE(1).EQ.5).AND.(NCODE(2).EQ.20).AND.(LX.EQ.1)) THEN
QFR(NUM2+1)=QFR(NUM2+2)
ELSE IF((NCODE(1).EQ.20).AND.(NCODE(2).EQ.5).AND.(LX.EQ.1)) THEN
QFR(NUM2+2)=QFR(NUM2+1)
ENDIF
IF((NCODE(3).EQ.5).AND.(NCODE(4).EQ.20).AND.(LY.EQ.1)) THEN
QFR(NUM2+3)=QFR(NUM2+4)
ELSE IF((NCODE(3).EQ.20).AND.(NCODE(4).EQ.5).AND.(LY.EQ.1)) THEN
QFR(NUM2+4)=QFR(NUM2+3)
ENDIF
IF((NCODE(5).EQ.5).AND.(NCODE(6).EQ.20).AND.(LZ.EQ.1)) THEN
QFR(NUM2+5)=QFR(NUM2+6)
ELSE IF((NCODE(5).EQ.20).AND.(NCODE(6).EQ.5).AND.(LZ.EQ.1)) THEN
QFR(NUM2+6)=QFR(NUM2+5)
ENDIF
*
NUM2=NUM2+6
150 CONTINUE
151 CONTINUE
152 CONTINUE
*
IF(IMPX.GE.2) THEN
WRITE (6,610)
NUM2=0
DO 160 KEL=1,LX*LY*LZ
IF(MAT(KEL).LE.0) GO TO 160
WRITE (6,620) KEL,(QFR(NUM2+I),I=1,6)
NUM2=NUM2+6
160 CONTINUE
ENDIF
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(XXX,YYY,ZZZ)
RETURN
*
600 FORMAT (/52H TRICYL: CYLINDRICAL ALBEDO BOUNDARY CONDITION ON A ,
1 17HCYLINDER OF AXIS ,A4/
2 9X,12HCENTER IS ( ,A4,1H=,1P,E15.7,3H , ,A4,1H=,E15.7 ,1H) )
610 FORMAT(///53H VOID BOUNDARY CONDITION WITH CYLINDRICAL CORRECTION:
1 //8H ELEMENT,5X,3HQFR)
620 FORMAT(1X,I6,4X,1P,6E11.2)
END
|
