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*DECK SPLIT0
SUBROUTINE SPLIT0 (MAXPTS,ITYPE,NCODE,LXOLD,LYOLD,LZOLD,ISPLTX,
1 ISPLTY,ISPLTZ,ISPLTH,ISPLTL,NMBLK,LX,LY,LZ,SIDE,XXX,YYY,ZZZ,
2 MAT,ITYP,IMPX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Generalized mesh-splitting algorithm.
*
*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/output
* MAXPTS dimension of vector MAT.
* ITYPE type of geometry.
* NCODE boundary condition relative to each side of the domain.
* LXOLD number of parallelepipeds along the X-axis as given in the
* input data.
* LYOLD number of parallelepipeds along the Y-axis.
* LZOLD number of parallelepipeds along the Z-axis.
* ISPLTX mesh-splitting data for parallelepipeds along the X-axis
* negative value is used for equal-volume splitting of tubes.
* ISPLTY mesh-splitting data for parallelepipeds along the Y-axis.
* ISPLTZ mesh-splitting data for parallelepipeds along the Z-axis.
* ISPLTH mesh-splitting index for hexagons into triangles.
* ISPLTL mesh-splitting index for hexagons into lozenges.
* NMBLK number of parallelepipeds in the domain.
* LX number of parallelepipeds along the X-axis after mesh-
* splitting.
* LY number of parallelepipeds along the Y-axis.
* LZ number of parallelepipeds along the Z-axis.
* XXX Cartesian coordinates of the domain along the X-axis.
* YYY Cartesian coordinates of the domain along the Y-axis.
* ZZZ Cartesian coordinates of the domain along the Z-axis.
* MAT index-number of the mixture type assigned to each volume
* before and after mesh-splitting.
* ITYP modification flag:
* =.true. modification of XXX, YYY, ZZZ and MAT;
* =.false. modification of MAT only.
* IMPX print flag. Minimum printing if IMPX=0.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER MAXPTS,ITYPE,NCODE(6),LXOLD,LYOLD,LZOLD,ISPLTX(LX),
1 ISPLTY(LY),ISPLTZ(LZ),ISPLTL,NMBLK,LX,LY,LZ,MAT(MAXPTS),IMPX
REAL XXX(LX+1),YYY(LY+1),ZZZ(LZ+1)
LOGICAL ITYP
*----
* LOCAL VARIABLES
*----
CHARACTER HSMG*130
LOGICAL LL1,LL2,NEWCOD(6),LTRI,LLOZ
DOUBLE PRECISION DEL,GAR
*----
* SETTING LOGICAL PARAMETERS
*----
LL1=(NCODE(2).EQ.3).AND.(NCODE(3).EQ.3)
LL2=(NCODE(1).EQ.3).AND.(NCODE(4).EQ.3)
LTRI=(ISPLTH.NE.0).AND.((ITYPE.EQ.8).OR.(ITYPE.EQ.9))
LLOZ=(ISPLTL.NE.0).AND.((ITYPE.EQ.8).OR.(ITYPE.EQ.9))
*
IF(ITYP) THEN
IF(LL1.OR.LL2) THEN
* DIAGONAL SYMMETRY: CHECK IF ISPLTY(I)=ISPLTX(I)
DO 10 I=1,LX
IF(ISPLTX(I).NE.ISPLTY(I)) CALL XABORT('SPLIT0: INCONSTEN'
1 //'T MESH-SPLITTING INPUT DATA.')
10 CONTINUE
ENDIF
* DETERMINATION OF THE NEW BOUNDARY CONDITIONS.
DO 20 I=1,6
NEWCOD(I)=.FALSE.
20 CONTINUE
IF((NCODE(1).EQ.5).OR.(LL2.AND.(NCODE(3).EQ.5))) THEN
DEL=XXX(2)-XXX(1)
IF(MOD(ISPLTX(1),2).EQ.0) THEN
ISPLTX(1)=ISPLTX(1)/2
NEWCOD(1)=.TRUE.
XXX(1)=XXX(2)-REAL(0.5*DEL)
ELSE
IGAR=ISPLTX(1)
ISPLTX(1)=(ISPLTX(1)+1)/2
XXX(1)=XXX(2)-REAL(DEL*(DBLE(ISPLTX(1))/DBLE(IGAR)))
ENDIF
ENDIF
IF((NCODE(2).EQ.5).OR.(LL1.AND.(NCODE(4).EQ.5))) THEN
DEL=XXX(LX+1)-XXX(LX)
IF(MOD(ISPLTX(LX),2).EQ.0) THEN
ISPLTX(LX)=ISPLTX(LX)/2
NEWCOD(2)=.TRUE.
XXX(LX+1)=XXX(LX)+REAL(0.5*DEL)
ELSE
IGAR=ISPLTX(LX)
ISPLTX(LX)=(ISPLTX(LX)+1)/2
XXX(LX+1)=XXX(LX)+REAL(DEL*(DBLE(ISPLTX(LX))/DBLE(IGAR)))
ENDIF
ENDIF
IF(ITYPE.LT.8) THEN
IF((NCODE(3).EQ.5).OR.(LL1.AND.(NCODE(1).EQ.5))) THEN
DEL=YYY(2)-YYY(1)
IF(MOD(ISPLTY(1),2).EQ.0) THEN
ISPLTY(1)=ISPLTY(1)/2
NEWCOD(3)=.TRUE.
YYY(1)=YYY(2)-REAL(0.5*DEL)
ELSE
IGAR=ISPLTY(1)
ISPLTY(1)=(ISPLTY(1)+1)/2
YYY(1)=YYY(2)-REAL(DEL*(DBLE(ISPLTY(1))/DBLE(IGAR)))
ENDIF
ENDIF
IF((NCODE(4).EQ.5).OR.(LL2.AND.(NCODE(2).EQ.5))) THEN
DEL=YYY(LY+1)-YYY(LY)
IF(MOD(ISPLTY(LY),2).EQ.0) THEN
ISPLTY(LY)=ISPLTY(LY)/2
NEWCOD(4)=.TRUE.
YYY(LY+1)=YYY(LY)+REAL(0.5*DEL)
ELSE
IGAR=ISPLTY(LY)
ISPLTY(LY)=(ISPLTY(LY)+1)/2
YYY(LY+1)=YYY(LY)+REAL(DEL*(DBLE(ISPLTY(LY))/DBLE(IGAR)))
ENDIF
ENDIF
ENDIF
IF(NCODE(5).EQ.5) THEN
DEL=ZZZ(2)-ZZZ(1)
IF(MOD(ISPLTZ(1),2).EQ.0) THEN
ISPLTZ(1)=ISPLTZ(1)/2
NEWCOD(5)=.TRUE.
ZZZ(1)=ZZZ(2)-REAL(0.5*DEL)
ELSE
IGAR=ISPLTZ(1)
ISPLTZ(1)=(ISPLTZ(1)+1)/2
ZZZ(1)=ZZZ(2)-REAL(DEL*(DBLE(ISPLTZ(1))/DBLE(IGAR)))
ENDIF
ENDIF
IF(NCODE(6).EQ.5) THEN
DEL=ZZZ(LZ+1)-ZZZ(LZ)
IF(MOD(ISPLTZ(LZ),2).EQ.0) THEN
ISPLTZ(LZ)=ISPLTZ(LZ)/2
NEWCOD(6)=.TRUE.
ZZZ(LZ+1)=ZZZ(LZ)+REAL(0.5*DEL)
ELSE
IGAR=ISPLTZ(LZ)
ISPLTZ(LZ)=(ISPLTZ(LZ)+1)/2
ZZZ(LZ+1)=ZZZ(LZ)+REAL(DEL*(DBLE(ISPLTZ(LZ))/DBLE(IGAR)))
ENDIF
ENDIF
IF((.NOT.LL2).AND.NEWCOD(1)) NCODE(1)=2
IF((.NOT.LL1).AND.NEWCOD(2)) NCODE(2)=2
IF((.NOT.LL1).AND.NEWCOD(3)) NCODE(3)=2
IF((.NOT.LL2).AND.NEWCOD(4)) NCODE(4)=2
IF(NEWCOD(5)) NCODE(5)=2
IF(NEWCOD(6)) NCODE(6)=2
*
* COMPUTE THE NEW VALUES OF LX, LY AND LZ.
LXOLD=LX
LYOLD=LY
LZOLD=LZ
IF(ITYPE.LT.8) THEN
LX=0
DO 40 IOLD=1,LXOLD
LX=LX+ABS(ISPLTX(IOLD))
40 CONTINUE
LY=0
DO 50 IOLD=1,LYOLD
LY=LY+ISPLTY(IOLD)
50 CONTINUE
ELSEIF(LTRI) THEN
LX=LXOLD*6*(ISPLTH**2)
ELSEIF(LLOZ) THEN
LX=LXOLD*3*(ISPLTL**2)
ENDIF
LZ=0
DO 55 IOLD=1,LZOLD
LZ=LZ+ISPLTZ(IOLD)
55 CONTINUE
*
* COMPUTE THE NEW VALUES OF XXX, YYY AND ZZZ.
IF(ITYPE.LT.8) THEN
K=LX+1
GAR=XXX(LXOLD+1)
DO 61 IOLD=LXOLD,1,-1
ISP=ISPLTX(IOLD)
DEL=(GAR-XXX(IOLD))/DBLE(ABS(ISP))
IF(ISP.LT.0) THEN
IF((ITYPE.EQ.3).OR.(ITYPE.EQ.6)) DEL=DEL*(GAR+XXX(IOLD))
IF(ITYPE.EQ.4) DEL=DEL*(GAR**2+GAR*XXX(IOLD)+XXX(IOLD)**2)
ENDIF
GAR=XXX(IOLD)
DO 60 I=ABS(ISP),1,-1
IF(ISP.GT.0) THEN
XXX(K)=REAL(GAR+DEL*DBLE(I))
ELSE IF((ITYPE.EQ.3).OR.(ITYPE.EQ.6)) THEN
XXX(K)=REAL(SQRT(GAR*GAR+DEL*DBLE(I)))
ELSE IF(ITYPE.EQ.4) THEN
XXX(K)=REAL((GAR**3+DEL*DBLE(I))**(1.0D0/3.0D0))
ELSE
CALL XABORT('SPLIT0: INVALID MESH-SPLITTING INDEX.')
ENDIF
K=K-1
60 CONTINUE
61 CONTINUE
K=LY+1
GAR=YYY(LYOLD+1)
DO 71 IOLD=LYOLD,1,-1
ISP=ISPLTY(IOLD)
DEL=(GAR-YYY(IOLD))/DBLE(ISP)
GAR=YYY(IOLD)
DO 70 I=ISP,1,-1
YYY(K)=REAL(GAR+DEL*DBLE(I))
K=K-1
70 CONTINUE
71 CONTINUE
ELSEIF(LTRI) THEN
SIDE=SIDE/REAL(ISPLTH)
ELSEIF(LLOZ) THEN
SIDE=SIDE/REAL(ISPLTL)
ENDIF
K=LZ+1
GAR=ZZZ(LZOLD+1)
DO 76 IOLD=LZOLD,1,-1
ISP=ISPLTZ(IOLD)
DEL=(GAR-ZZZ(IOLD))/DBLE(ISP)
GAR=ZZZ(IOLD)
DO 75 I=ISP,1,-1
ZZZ(K)=REAL(GAR+DEL*DBLE(I))
K=K-1
75 CONTINUE
76 CONTINUE
*
* COMPUTE THE NUMBER OF PARALLEPIPEDS AFTER MESH-SPLITTING.
IF(LL1.OR.LL2) THEN
IF(LX.EQ.LY) THEN
NMBLK=LZ*((LX+1)*LX)/2
ELSE
CALL XABORT('SPLIT0: LX ET LY SHOULD BE EQUAL.')
ENDIF
ELSE IF(ITYPE.LT.8) THEN
NMBLK=LX*LY*LZ
ELSE
NMBLK=LX*LZ
ENDIF
IF(IMPX.GE.3) THEN
WRITE (6,200) LX,LY,LZ,NMBLK,(NCODE(I),I=1,6)
IF(ITYPE.LT.8) THEN
WRITE (6,210) 'XXX',(XXX(I),I=1,LX+1)
WRITE (6,210) 'YYY',(YYY(I),I=1,LY+1)
ELSE
WRITE (6,210) 'SIDE',SIDE
ENDIF
WRITE (6,210) 'ZZZ',(ZZZ(I),I=1,LZ+1)
ENDIF
ENDIF
*----
* COMPUTE THE NEW MIXTURE NUMBERS MAT(I).
*----
IF(ITYPE.LT.8) THEN
IF(LL1.OR.LL2) THEN
KOLD=LZOLD*((LXOLD+1)*LXOLD)/2
KNEW=LZ*((LX+1)*LX)/2
ELSE
KOLD=LXOLD*LYOLD*LZOLD
KNEW=LX*LY*LZ
ENDIF
NMBLK=KNEW
IF(KNEW.GT.MAXPTS) THEN
WRITE (HSMG,230) 'NMBLK',KNEW,'MAXPTS',MAXPTS
CALL XABORT(HSMG)
ENDIF
DO 103 K0=LZOLD,1,-1
KIOFZ=KOLD
DO 102 K=ISPLTZ(K0),1,-1
KOLD=KIOFZ
DO 101 K1=LYOLD,1,-1
KIOFY=KOLD
DO 100 J=ISPLTY(K1),1,-1
KOLD=KIOFY
DO 90 K2=LXOLD,1,-1
IF(LL1.AND.(K1.LT.K2)) GO TO 90
IF(LL2.AND.(K1.GT.K2)) GO TO 90
IGAR=MAT(KOLD)
DO 80 I=ABS(ISPLTX(K2)),1,-1
IF(LL1.AND.(J.LT.I).AND.(K1.EQ.K2)) GO TO 80
IF(LL2.AND.(J.GT.I).AND.(K1.EQ.K2)) GO TO 80
MAT(KNEW)=IGAR
MAT(KNEW)=IGAR
KNEW=KNEW-1
80 CONTINUE
KOLD=KOLD-1
90 CONTINUE
100 CONTINUE
101 CONTINUE
102 CONTINUE
103 CONTINUE
ELSEIF(LTRI) THEN
* HEXAGONAL GEOMETRY WITH TRIANGULAR SUBMESH.
KOLD=LXOLD*LZOLD
KNEW=LXOLD*6*(ISPLTH**2)*LZ
NMBLK=KNEW
IF(KNEW.GT.MAXPTS) THEN
WRITE (HSMG,230) 'NMBLK',KNEW,'MAXPTS',MAXPTS
CALL XABORT(HSMG)
ENDIF
DO 135 K0=LZOLD,1,-1
KIOFZ=KOLD
DO 130 K=ISPLTZ(K0),1,-1
KOLD=KIOFZ
DO 120 K2=LXOLD,1,-1
IGAR=MAT(KOLD)
DO 110 I=(6*ISPLTH**2),1,-1
MAT(KNEW)=IGAR
KNEW=KNEW-1
110 CONTINUE
KOLD=KOLD-1
120 CONTINUE
130 CONTINUE
135 CONTINUE
ELSEIF(LLOZ) THEN
* HEXAGONAL GEOMETRY WITH LOZENGE SUBMESH.
KOLD=LXOLD*LZOLD
KNEW=LXOLD*3*(ISPLTL**2)*LZ
NMBLK=KNEW
IF(KNEW.GT.MAXPTS) THEN
WRITE (HSMG,230) 'NMBLK',KNEW,'MAXPTS',MAXPTS
CALL XABORT(HSMG)
ENDIF
DO 165 K0=LZOLD,1,-1
KIOFZ=KOLD
DO 160 K=ISPLTZ(K0),1,-1
KOLD=KIOFZ
DO 150 K2=LXOLD,1,-1
IGAR=MAT(KOLD)
DO 140 I=(3*ISPLTL**2),1,-1
MAT(KNEW)=IGAR
KNEW=KNEW-1
140 CONTINUE
KOLD=KOLD-1
150 CONTINUE
160 CONTINUE
165 CONTINUE
ELSE
* HEXAGONAL GEOMETRY.
KOLD=LXOLD*LZOLD
KNEW=LXOLD*LZ
NMBLK=KNEW
IF(KNEW.GT.MAXPTS) THEN
WRITE (HSMG,230) 'NMBLK',KNEW,'MAXPTS',MAXPTS
CALL XABORT(HSMG)
ENDIF
DO 185 K0=LZOLD,1,-1
KIOFZ=KOLD
DO 180 K=ISPLTZ(K0),1,-1
KOLD=KIOFZ
DO 170 K2=LXOLD,1,-1
MAT(KNEW)=MAT(KOLD)
KNEW=KNEW-1
KOLD=KOLD-1
170 CONTINUE
180 CONTINUE
185 CONTINUE
ENDIF
IF(IMPX.GE.3) WRITE (6,220) (MAT(I),I=1,NMBLK)
RETURN
*
200 FORMAT (//4H LX=,I4,4X,3HLY=,I4,4X,3HLZ=,I4,4X,6HNMBLK=,I5,
1 4X,9HNCODE(1)=,I2,3X,9HNCODE(2)=,I2,3X,9HNCODE(3)=,I2,3X,
2 9HNCODE(4)=,I2,3X,9HNCODE(5)=,I2,3X,9HNCODE(6)=,I2/)
210 FORMAT (//1X,A4/(1X,1P,10E12.4))
220 FORMAT (//4H MAT/(1X,20I6))
230 FORMAT (29HSPLIT0: INSUFFICIENT STORAGE.,5X,A6,1H=,I9,8H ; AVAIL,
1 13HABLE STORAGE ,A6,1H=,I9)
END
|
