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|
*DECK NSSDFC
SUBROUTINE NSSDFC(IMPX,IDIM,NX,NY,NZ,NCODE,ICODE,ZCODE,MAT,XXX,
1 YYY,ZZZ,LL4F,LL4X,LL4Y,LL4Z,VOL,XX,YY,ZZ,IDL,KN,QFR,IQFR,MUX,
2 MUY,MUZ,IMAX,IMAY,IMAZ,IPY,IPZ)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Numbering corresponding to a coarse mesh finite difference (NEM
* type) in a 3-D geometry.
*
*Copyright:
* Copyright (C) 2022 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
* IMPX print parameter.
* IDIM number of Cartesian dimensions.
* NX number of elements along the X axis.
* NY number of elements along the Y axis.
* NZ number of elements along the Z axis.
* NCODE type of boundary condition applied on each side:
* I=1: X-; I=2: X+; I=3: Y-; I=4: Y+; I=5: Z-; I=6: Z+;
* NCODE(I)=1: VOID; NCODE(I)=2: REFL; NCODE(I)=4: TRAN;
* NCODE(I)=7: ZERO.
* ICODE physical albedo index on each side of the domain.
* ZCODE albedo corresponding to boundary condition 'VOID' on each
* side (ZCODE(i)=0.0 by default).
* MAT mixture index assigned to each element.
* XXX Cartesian coordinates along the X axis.
* YYY Cartesian coordinates along the Y axis.
* ZZZ Cartesian coordinates along the Z axis.
* LL4F total number of averaged flux unknown per energy group.
*
*Parameters: output
* LL4X total number of X-direccted interface net currents.
* LL4Y total number of Y-direccted interface net currents.
* LL4Z total number of Z-direccted interface net currents.
* VOL volume of each element.
* XX X-directed mesh spacings.
* YY Y-directed mesh spacings.
* ZZ Z-directed mesh spacings.
* IDL position of averaged fluxes in unknown vector.
* KN element-ordered interface net current unknown list.
* QFR element-ordered boundary conditions.
* IQFR element-ordered physical albedo indices.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IMAX X-oriented position of each first non-zero column element.
* IMAY Y-oriented position of each first non-zero column element.
* IMAZ Z-oriented position of each first non-zero column element.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
*
*-----------------------------------------------------------------------
*
INTEGER IMPX,IDIM,NX,NY,NZ,NCODE(6),ICODE(6),MAT(NX,NY,NZ),LL4F,
1 LL4X,LL4Y,LL4Z,IDL(NX,NY,NZ),KN(6,NX,NY,NZ),IQFR(6,NX,NY,NZ),
2 MUX(LL4F),MUY(LL4F),MUZ(LL4F),IMAX(LL4F),IMAY(LL4F),IMAZ(LL4F),
3 IPY(LL4F),IPZ(LL4F)
REAL ZCODE(6),XXX(NX+1),YYY(NY+1),ZZZ(NZ+1),VOL(NX,NY,NZ),
1 XX(NX,NY,NZ),YY(NX,NY,NZ),ZZ(NX,NY,NZ),QFR(6,NX,NY,NZ)
*----
* LOCAL VARIABLES
*----
LOGICAL LL1,LALB
INTEGER, ALLOCATABLE, DIMENSION(:) :: JPX,JPY,JPZ
*
ALB(X)=0.5*(1.0-X)/(1.0+X)
*----
* IDENTIFICATION OF THE NON VIRTUAL NODES
*----
IF(IMPX.GT.0) WRITE(6,700) NX,NY,NZ
ALLOCATE(JPX((NX+1)*NY*NZ),JPY((NY+1)*NX*NZ),JPZ((NZ+1)*NX*NY))
JPX(:)=0
JPY(:)=0
JPZ(:)=0
IND=0
DO K0=1,NZ
DO K1=1,NY
DO K2=1,NX
IDL(K2,K1,K0)=0
KN(:6,K2,K1,K0)=0
IF(MAT(K2,K1,K0).EQ.0) CYCLE
IND=IND+1
IDL(K2,K1,K0)=IND
KN(1,K2,K1,K0)=K2 +(NX+1)*(K1-1)+(NX+1)*NY*(K0-1)
KN(2,K2,K1,K0)=(K2+1)+(NX+1)*(K1-1)+(NX+1)*NY*(K0-1)
KN(3,K2,K1,K0)=K1 +(NY+1)*(K0-1)+(NY+1)*NZ*(K2-1)
KN(4,K2,K1,K0)=(K1+1)+(NY+1)*(K0-1)+(NY+1)*NZ*(K2-1)
KN(5,K2,K1,K0)=K0 +(NZ+1)*(K2-1)+(NZ+1)*NX*(K1-1)
KN(6,K2,K1,K0)=(K0+1)+(NZ+1)*(K2-1)+(NZ+1)*NX*(K1-1)
JPX(KN(1:2,K2,K1,K0))=1
JPY(KN(3:4,K2,K1,K0))=1
JPZ(KN(5:6,K2,K1,K0))=1
ENDDO
ENDDO
ENDDO
IF(IND.NE.LL4F) CALL XABORT('NSSDFC: WRONG VALUE OF LL4F.')
LL4X=0
DO I=1,(NX+1)*NY*NZ
IF(JPX(I).EQ.1) THEN
LL4X=LL4X+1
JPX(I)=LL4X
ENDIF
ENDDO
LL4Y=0
DO I=1,(NY+1)*NX*NZ
IF(JPY(I).EQ.1) THEN
LL4Y=LL4Y+1
JPY(I)=LL4Y
ENDIF
ENDDO
LL4Z=0
DO I=1,(NZ+1)*NX*NY
IF(JPZ(I).EQ.1) THEN
LL4Z=LL4Z+1
JPZ(I)=LL4Z
ENDIF
ENDDO
DO K0=1,NZ
DO K1=1,NY
DO K2=1,NX
IF(MAT(K2,K1,K0).EQ.0) CYCLE
KN(1:2,K2,K1,K0)=JPX(KN(1:2,K2,K1,K0))
KN(3:4,K2,K1,K0)=JPY(KN(3:4,K2,K1,K0))
KN(5:6,K2,K1,K0)=JPZ(KN(5:6,K2,K1,K0))
ENDDO
ENDDO
ENDDO
DEALLOCATE(JPZ,JPY,JPX)
*----
* IDENTIFICATION OF THE GEOMETRY. MAIN LOOP OVER THE NODES
*----
QFR(:6,:NX,:NY,:NZ)=0.0
IQFR(:6,:NX,:NY,:NZ)=-99
DO K0=1,NZ
DO K1=1,NY
DO K2=1,NX
XX(K2,K1,K0)=0.0
YY(K2,K1,K0)=0.0
ZZ(K2,K1,K0)=0.0
VOL(K2,K1,K0)=0.0
IF(MAT(K2,K1,K0).LE.0) CYCLE
XX(K2,K1,K0)=XXX(K2+1)-XXX(K2)
YY(K2,K1,K0)=YYY(K1+1)-YYY(K1)
ZZ(K2,K1,K0)=ZZZ(K0+1)-ZZZ(K0)
*----
* VOID, REFL OR ZERO BOUNDARY CONTITION
*----
IQFR(:2,K2,K1,K0)=0
IF(K2.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2-1,K1,K0).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(1).EQ.1).OR.(NCODE(1).EQ.6)
IF(LALB.AND.(ICODE(1).EQ.0)) THEN
QFR(1,K2,K1,K0)=ALB(ZCODE(1))
IQFR(1,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(1,K2,K1,K0)=1.0
IQFR(1,K2,K1,K0)=ICODE(1)
ELSE IF(NCODE(1).EQ.2) THEN
IQFR(1,K2,K1,K0)=-2
ELSE IF(NCODE(1).EQ.7) THEN
IQFR(1,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(1).')
ENDIF
ENDIF
*
IF(K2.EQ.NX) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2+1,K1,K0).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(2).EQ.1).OR.(NCODE(2).EQ.6)
IF(LALB.AND.(ICODE(2).EQ.0)) THEN
QFR(2,K2,K1,K0)=ALB(ZCODE(2))
IQFR(2,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(2,K2,K1,K0)=1.0
IQFR(2,K2,K1,K0)=ICODE(2)
ELSE IF(NCODE(2).EQ.2) THEN
IQFR(2,K2,K1,K0)=-2
ELSE IF(NCODE(2).EQ.7) THEN
IQFR(2,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(2).')
ENDIF
ENDIF
*
IF(IDIM == 1) GO TO 100
IQFR(3:4,K2,K1,K0)=0
IF(K1.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2,K1-1,K0).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(3).EQ.1).OR.(NCODE(3).EQ.6)
IF(LALB.AND.(ICODE(3).EQ.0)) THEN
QFR(3,K2,K1,K0)=ALB(ZCODE(3))
IQFR(3,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(3,K2,K1,K0)=1.0
IQFR(3,K2,K1,K0)=ICODE(3)
ELSE IF(NCODE(3).EQ.2) THEN
IQFR(3,K2,K1,K0)=-2
ELSE IF(NCODE(3).EQ.7) THEN
IQFR(3,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(3).')
ENDIF
ENDIF
*
IF(K1.EQ.NY) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2,K1+1,K0).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(4).EQ.1).OR.(NCODE(4).EQ.6)
IF(LALB.AND.(ICODE(4).EQ.0)) THEN
QFR(4,K2,K1,K0)=ALB(ZCODE(4))
IQFR(4,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(4,K2,K1,K0)=1.0
IQFR(4,K2,K1,K0)=ICODE(4)
ELSE IF(NCODE(4).EQ.2) THEN
IQFR(4,K2,K1,K0)=-2
ELSE IF(NCODE(4).EQ.7) THEN
IQFR(4,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(4).')
ENDIF
ENDIF
*
IF(IDIM == 2) GO TO 100
IQFR(5:6,K2,K1,K0)=0
IF(K0.EQ.1) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2,K1,K0-1).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(5).EQ.1).OR.(NCODE(5).EQ.6)
IF(LALB.AND.(ICODE(5).EQ.0)) THEN
QFR(5,K2,K1,K0)=ALB(ZCODE(5))
IQFR(5,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(5,K2,K1,K0)=1.0
IQFR(5,K2,K1,K0)=ICODE(5)
ELSE IF(NCODE(5).EQ.2) THEN
IQFR(5,K2,K1,K0)=-2
ELSE IF(NCODE(5).EQ.7) THEN
IQFR(5,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(5).')
ENDIF
ENDIF
*
IF(K0.EQ.NZ) THEN
LL1=.TRUE.
ELSE
LL1=(MAT(K2,K1,K0+1).EQ.0)
ENDIF
IF(LL1) THEN
LALB=(NCODE(6).EQ.1).OR.(NCODE(6).EQ.6)
IF(LALB.AND.(ICODE(6).EQ.0)) THEN
QFR(6,K2,K1,K0)=ALB(ZCODE(6))
IQFR(6,K2,K1,K0)=-1
ELSE IF(LALB) THEN
QFR(6,K2,K1,K0)=1.0
IQFR(6,K2,K1,K0)=ICODE(6)
ELSE IF(NCODE(6).EQ.2) THEN
IQFR(6,K2,K1,K0)=-2
ELSE IF(NCODE(6).EQ.7) THEN
IQFR(6,K2,K1,K0)=-3
ELSE IF(NCODE(1).EQ.5) THEN
CALL XABORT('NSSDFC: SYME NOT IMPLEMENTED(6).')
ENDIF
ENDIF
*----
* TRAN BOUNDARY CONDITION
*----
100 IF((K2.EQ.1).AND.(NCODE(1).EQ.4)) THEN
KN(1,K2,K1,K0)=KN(2,NX,K1,K0)
ENDIF
IF((K2.EQ.NX).AND.(NCODE(2).EQ.4)) THEN
KN(2,K2,K1,K0)=KN(1,1,K1,K0)
ENDIF
IF((K1.EQ.1).AND.(NCODE(3).EQ.4)) THEN
KN(3,K2,K1,K0)=KN(2,K2,NY,K0)
ENDIF
IF((K1.EQ.NY).AND.(NCODE(4).EQ.4)) THEN
KN(4,K2,K1,K0)=KN(1,K2,1,K0)
ENDIF
IF((K0.EQ.1).AND.(NCODE(5).EQ.4)) THEN
KN(5,K2,K1,K0)=KN(6,K2,K1,NZ)
ENDIF
IF((K0.EQ.NZ).AND.(NCODE(6).EQ.4)) THEN
KN(6,K2,K1,K0)=KN(5,K2,K1,1)
ENDIF
*
VOL(K2,K1,K0)=XX(K2,K1,K0)*YY(K2,K1,K0)*ZZ(K2,K1,K0)
ENDDO
ENDDO
ENDDO
* END OF THE MAIN LOOP OVER NODES.
*
IF(IMPX.GE.2) THEN
WRITE(6,720) VOL(:NX,:NY,:NZ)
WRITE(6,750)
DO K0=1,NZ
DO K1=1,NY
DO K2=1,NX
IF(MAT(K2,K1,K0).LE.0) CYCLE
KEL=(K0-1)*NX*NY+(K1-1)*NX+K2
WRITE (6,760) KEL,(KN(I,K2,K1,K0),I=1,6),
1 (QFR(I,K2,K1,K0),I=1,6),(IQFR(I,K2,K1,K0),I=1,6)
ENDDO
ENDDO
ENDDO
ENDIF
*----
* COMPUTE THE PERMUTATION VECTORS IPY AND IPZ
*----
IF(IDIM.GE.2) THEN
INX1=0
DO K2=1,NX
DO K0=1,NZ
DO K1=1,NY
INX2=IDL(K2,K1,K0)
IF(INX2.LE.0) CYCLE
INX1=INX1+1
IPY(INX2)=INX1
ENDDO
ENDDO
ENDDO
IF(INX1.NE.IND) CALL XABORT('NSSDFC: FAILURE OF THE RENUMBERI'
1 //'NG ALGORITHM(1)')
IF(IDIM.EQ.3) THEN
INX1=0
DO K1=1,NY
DO K2=1,NX
DO K0=1,NZ
INX2=IDL(K2,K1,K0)
IF(INX2.LE.0) CYCLE
INX1=INX1+1
IPZ(INX2)=INX1
ENDDO
ENDDO
ENDDO
IF(INX1.NE.IND) CALL XABORT('NSSDFC: FAILURE OF THE RENUMB'
1 //'ERING ALGORITHM(2)')
ENDIF
ENDIF
*----
* COMPUTE VECTOR MUX
*----
MUX(:LL4F)=1
DO K0=1,NZ
DO K1=1,NY
* X- SIDE:
DO K2=2,NX
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
KK1=IDL(K2-1,K1,K0)
IF(KK1.GT.0) MUX(KEL)=MAX0(MUX(KEL),KEL-KK1+1)
ENDDO
* X+ SIDE:
DO K2=1,NX-1
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
KK2=IDL(K2+1,K1,K0)
IF(KK2.GT.0) MUX(KEL)=MAX0(MUX(KEL),KEL-KK2+1)
ENDDO
ENDDO
ENDDO
*----
* COMPUTE VECTOR MUY
*----
IF(IDIM.GE.2) THEN
MUY(:LL4F)=1
DO K2=1,NX
DO K0=1,NZ
* Y- SIDE:
DO K1=2,NY
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
INY1=IPY(KEL)
KK3=IDL(K2,K1-1,K0)
IF(KK3.GT.0) MUY(INY1)=MAX0(MUY(INY1),INY1-IPY(KK3)+1)
ENDDO
* Y- SIDE:
DO K1=1,NY-1
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
INY1=IPY(KEL)
KK4=IDL(K2,K1+1,K0)
IF(KK4.GT.0) MUY(INY1)=MAX0(MUY(INY1),INY1-IPY(KK4)+1)
ENDDO
ENDDO
ENDDO
ELSE
MUY(:LL4F)=0
ENDIF
*----
* COMPUTE VECTOR MUZ
*----
IF(IDIM.EQ.3) THEN
MUZ(:LL4F)=1
DO K1=1,NY
DO K2=1,NX
* Z- SIDE:
DO K0=2,NZ
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
INZ1=IPZ(KEL)
KK5=IDL(K2,K1,K0-1)
IF(KK5.GT.0) MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-IPZ(KK5)+1)
ENDDO
* Z+ SIDE:
DO K0=1,NZ-1
KEL=IDL(K2,K1,K0)
IF(KEL.EQ.0) CYCLE
INZ1=IPZ(KEL)
KK6=IDL(K2,K1,K0+1)
IF(KK6.GT.0) MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-IPZ(KK6)+1)
ENDDO
ENDDO
ENDDO
ELSE
MUZ(:LL4F)=0
ENDIF
*
MUXMAX=0
MUYMAX=0
MUZMAX=0
IIMAXX=0
IIMAXY=0
IIMAXZ=0
DO I=1,LL4F
MUXMAX=MAX(MUXMAX,MUX(I))
MUYMAX=MAX(MUYMAX,MUY(I))
MUZMAX=MAX(MUZMAX,MUZ(I))
IBAND=MUX(I)
IIMAXX=IIMAXX+IBAND
MUX(I)=IIMAXX
IIMAXX=IIMAXX+IBAND-1
IMAX(I)=IIMAXX
IBAND=MUY(I)
IIMAXY=IIMAXY+IBAND
MUY(I)=IIMAXY
IIMAXY=IIMAXY+IBAND-1
IMAY(I)=IIMAXY
IBAND=MUZ(I)
IIMAXZ=IIMAXZ+IBAND
MUZ(I)=IIMAXZ
IIMAXZ=IIMAXZ+IBAND-1
IMAZ(I)=IIMAXZ
ENDDO
IF(IMPX.GT.0) WRITE (6,770) MUXMAX,MUYMAX,MUZMAX
RETURN
*
700 FORMAT(/46H NSSDFC: COARSE MESH FINITE DIFFERENCE METHOD.//3H NU,
1 28HMBER OF NODES ALONG X AXIS =,I3/17X,14HALONG Y AXIS =,I3/
2 17X,14HALONG Z AXIS =,I3)
720 FORMAT(/17H VOLUMES PER NODE/(1X,1P,10E13.4))
750 FORMAT(/22H NUMBERING OF UNKNOWNS/1X,21(1H-)//4X,4HNODE,5X,3HINT,
1 26HERFACE NET CURRENT INDICES,28X,23HVOID BOUNDARY CONDITION)
760 FORMAT(1X,I6,7X,6I8,6X,6F9.2/68X,6I9)
770 FORMAT(/41H NSSDFC: MAXIMUM BANDWIDTH ALONG X AXIS =,I5/
1 27X,14HALONG Y AXIS =,I5/27X,14HALONG Z AXIS =,I5)
END
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