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*DECK TRICH3
SUBROUTINE TRICH3(ISPLH,IPTRK,LX,LZ,L4,MAT,KN,MUW,MUX,MUY,MUZ,
1 IPW,IPX,IPY,IPZ,IMPX)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the compressed diagonal storage indices (MUW, MUX, MUY and
* MUZ) an the permutation vectors (IPW, IPX, IPY and IPZ) for an ADI
* splitting of a mesh corner finite difference discretization in
* 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
* ISPLH type of mesh-splitting: =1 for complete hexagons; =2 for
* triangular mesh-splitting.
* IPTRK L_TRACK pointer to the Trivac tracking information.
* LX number of hexagons in a plane.
* LZ number of axial planes.
* L4 order of system matrices.
* MAT mixture index assigned to each element.
* KN element-ordered unknown list. Dimensionned to LL*LX*LZ
* where LL=12 (hexagons) or 14 (triangles).
* IMPX print parameter (equal to zero for no print).
*
*Parameters: output
* MUW W-oriented compressed storage mode indices.
* MUX X-oriented compressed storage mode indices.
* MUY Y-oriented compressed storage mode indices.
* MUZ Z-oriented compressed storage mode indices.
* IPW W-oriented permutation matrices.
* IPX X-oriented permutation matrices.
* IPY Y-oriented permutation matrices.
* IPZ Z-oriented permutation matrices.
*
*-----------------------------------------------------------------------
*
USE GANLIB
*----
* SUBROUTINE ARGUMENTS
*----
TYPE(C_PTR) IPTRK
INTEGER ISPLH,LX,LZ,L4,MAT(LX*LZ),KN(*),MUW(L4),MUX(L4),MUY(L4),
1 MUZ(L4),IPW(L4),IPX(L4),IPY(L4),IPZ(L4),IMPX
*----
* LOCAL VARIABLES
*----
REAL HW(14,14),HX(14,14),HY(14,14),HZ(14,14),HL(2,2),RFAC(28,7),
1 RF6(24,6),RF7(28,7)
INTEGER NCODE(6),IJ1(14),IJ2(14),IJ27(14),IJ16(12),IJ26(12),
1 IJ17(14)
INTEGER, DIMENSION(:), ALLOCATABLE :: IDX,IDY
COMMON /ELEMB/LC,T(5),TS(5),R(5,5),RS(5,5),Q(5,5),QS(5,5),V(5,4),
1 E(5,5),RH(7,7),QH(7,7),RT(3,3),QT(3,3)
DATA HL / 1.0,2*0.0,1.0/
DATA IJ16,IJ26 /1,2,3,4,5,6,1,2,3,4,5,6,6*1,6*2/
DATA IJ17,IJ27 /1,2,3,4,5,6,7,1,2,3,4,5,6,7,7*1,7*2/
DATA RF6/
>1.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.0,1.0,0.5,
>1.0,0.0,1.0,1.0,0.0,0.5,1.0,0.0,0.0,0.0,0.0,0.0,
>0.0,1.0,1.0,1.0,0.5,0.0,1.0,1.0,0.0,0.0,0.5,1.0,
>0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,
>0.0,1.0,1.0,0.5,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,
>1.0,0.0,1.0,0.5,0.0,1.0,0.0,0.0,1.0,0.0,0.0,0.0,
>0.0,1.0,0.5,1.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,
>1.0,0.0,0.5,1.0,0.0,1.0,0.0,0.0,0.0,1.0,0.0,0.0,
>0.0,0.5,1.0,1.0,1.0,0.0,1.0,0.5,0.0,0.0,1.0,1.0,
>0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,
>0.0,0.0,0.0,0.0,0.0,1.0,0.5,1.0,0.0,0.0,1.0,1.0,
>0.5,0.0,1.0,1.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0/
DATA RF7/
>1.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,1.0,0.0,0.5,0.0,1.0,0.5,
>1.0,0.0,1.0,0.5,1.0,0.0,0.5,1.0,0.0,0.0,0.0,0.0,0.0,0.0,
>0.0,1.0,1.0,0.5,1.0,0.5,0.0,1.0,1.0,0.0,0.5,0.0,0.5,1.0,
>0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,
>0.0,1.0,1.0,0.5,0.5,1.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,
>1.0,0.0,1.0,0.5,0.5,0.0,1.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,
>0.0,0.5,0.5,1.0,0.5,0.5,0.0,0.5,0.5,0.0,1.0,0.0,0.5,0.5,
>0.5,0.0,0.5,1.0,0.5,0.0,0.5,0.0,0.0,0.0,1.0,0.0,0.0,0.0,
>0.0,1.0,0.5,0.5,1.0,1.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,
>1.0,0.0,0.5,0.5,1.0,0.0,1.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,
>0.0,0.5,1.0,0.5,1.0,1.0,0.0,1.0,0.5,0.0,0.5,0.0,1.0,1.0,
>0.0,0.0,0.0,0.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.0,
>0.0,0.0,0.0,0.0,0.0,0.0,1.0,0.5,1.0,0.0,0.5,0.0,1.0,1.0,
>0.5,0.0,1.0,0.5,1.0,0.0,1.0,0.0,0.0,0.0,0.0,0.0,0.0,1.0/
*
IF(ISPLH.EQ.1) THEN
LC=6
DO 10 I=1,2*LC
IJ1(I)=IJ16(I)
IJ2(I)=IJ26(I)
10 CONTINUE
DO 25 I=1,4*LC
DO 20 J=1,LC
RFAC(I,J)=RF6(I,J)
20 CONTINUE
25 CONTINUE
ELSE
LC=7
DO 30 I=1,2*LC
IJ1(I)=IJ17(I)
IJ2(I)=IJ27(I)
30 CONTINUE
DO 45 I=1,4*LC
DO 40 J=1,LC
RFAC(I,J)=RF7(I,J)
40 CONTINUE
45 CONTINUE
ENDIF
LL=2*LC
DO 55 I=1,LL
I1=IJ1(I)
I2=IJ2(I)
DO 50 J=1,LL
J1=IJ1(J)
J2=IJ2(J)
HW(I,J) = RFAC(I1 ,J1) * HL(I2,J2)
HX(I,J) = RFAC(I1+LC ,J1) * HL(I2,J2)
HY(I,J) = RFAC(I1+2*LC,J1) * HL(I2,J2)
HZ(I,J) = RFAC(I1+3*LC,J1)
50 CONTINUE
55 CONTINUE
*
DO 65 I=1,LL
I1 = IJ1(I)
I2 = IJ2(I)
DO 60 J=1,LL
J1 = IJ1(J)
J2 = IJ2(J)
HW(I,J) = RFAC(I1 ,J1) * HL(I2,J2)
HX(I,J) = RFAC(I1+LC ,J1) * HL(I2,J2)
HY(I,J) = RFAC(I1+2*LC,J1) * HL(I2,J2)
HZ(I,J) = RFAC(I1+3*LC,J1)
60 CONTINUE
65 CONTINUE
*----
* COMPUTE THE PERMUTATION VECTORS
*----
DO 70 I=1,L4
IPW(I)=I
IPX(I)=0
IPY(I)=0
IPZ(I)=0
70 CONTINUE
LT4 = L4
LPZ = LZ
IF(LZ.GT.1) THEN
LPZ = LZ+1
CALL LCMGET (IPTRK,'NCODE',NCODE)
IF((NCODE(5).EQ.7).OR.(NCODE(6).EQ.7)) LPZ = LZ
IF((NCODE(5).EQ.7).AND.(NCODE(6).EQ.7)) LPZ = LZ-1
LT4 = L4/LPZ
ENDIF
ALLOCATE(IDX(LT4),IDY(LT4))
CALL LCMGET (IPTRK,'ILX',IDX)
CALL LCMGET (IPTRK,'ILY',IDY)
DO 85 KZ = 1, LPZ
DO 80 KX = 1, LT4
IPX(KX+(KZ-1)*LT4) = IDX(KX) + (KZ-1)*LT4
IPY(KX+(KZ-1)*LT4) = IDY(KX) + (KZ-1)*LT4
80 CONTINUE
85 CONTINUE
DEALLOCATE(IDY,IDX)
KEL = 0
DO 95 KX = 1, LT4
DO 90 KZ = 1, LPZ
KEL = KEL + 1
IPZ(KX+(KZ-1)*LT4) = KEL
90 CONTINUE
95 CONTINUE
*----
* COMPUTE THE COMPRESSED DIAGONAL STORAGE INDICES
*----
DO 100 I=1,L4
MUW(I)=1
MUX(I)=1
MUY(I)=1
MUZ(I)=1
100 CONTINUE
NUM1=0
DO 130 K=1,LX*LZ
IF(MAT(K).LE.0) GO TO 130
DO 120 I=1,LL
INW1=KN(NUM1+I)
IF(INW1.EQ.0) GO TO 120
INX1=IPX(INW1)
INY1=IPY(INW1)
INZ1=IPZ(INW1)
DO 110 J=1,LL
INW2=KN(NUM1+J)
IF(INW2.EQ.0) GO TO 110
INX2=IPX(INW2)
INY2=IPY(INW2)
INZ2=IPZ(INW2)
IF((HW(I,J).NE.0.0).AND.(INW2.LT.INW1))
> MUW(INW1)=MAX0(MUW(INW1),INW1-INW2+1)
IF((HX(I,J).NE.0.0).AND.(INX2.LT.INX1))
> MUX(INX1)=MAX0(MUX(INX1),INX1-INX2+1)
IF((HY(I,J).NE.0.0).AND.(INY2.LT.INY1))
> MUY(INY1)=MAX0(MUY(INY1),INY1-INY2+1)
IF((HZ(I,J).NE.0.0).AND.(INZ2.LT.INZ1))
> MUZ(INZ1)=MAX0(MUZ(INZ1),INZ1-INZ2+1)
110 CONTINUE
120 CONTINUE
NUM1=NUM1+LL
130 CONTINUE
IF(IMPX.GE.5) THEN
WRITE(6,510) 'IPW :',(IPW(I),I=1,L4)
WRITE(6,510) 'MUW :',(MUW(I),I=1,L4)
WRITE(6,510) 'IPX :',(IPX(I),I=1,L4)
WRITE(6,510) 'MUX :',(MUX(I),I=1,L4)
WRITE(6,510) 'IPY :',(IPY(I),I=1,L4)
WRITE(6,510) 'MUY :',(MUY(I),I=1,L4)
IF(LZ.GT.1) THEN
WRITE(6,510) 'IPZ :',(IPZ(I),I=1,L4)
WRITE(6,510) 'MUZ :',(MUZ(I),I=1,L4)
ENDIF
ENDIF
*
MUWMAX=0
MUXMAX=0
MUYMAX=0
MUZMAX=0
IIMAWW=0
IIMAWX=0
IIMAWY=0
IIMAWZ=0
DO 140 I=1,L4
MUWMAX=MAX(MUWMAX,MUW(I))
MUXMAX=MAX(MUXMAX,MUX(I))
MUYMAX=MAX(MUYMAX,MUY(I))
MUZMAX=MAX(MUZMAX,MUZ(I))
IIMAWW=IIMAWW+MUW(I)
MUW(I)=IIMAWW
IIMAWX=IIMAWX+MUX(I)
MUX(I)=IIMAWX
IIMAWY=IIMAWY+MUY(I)
MUY(I)=IIMAWY
IIMAWZ=IIMAWZ+MUZ(I)
MUZ(I)=IIMAWZ
140 CONTINUE
IF(IMPX.GT.0) WRITE (6,500) MUWMAX,MUXMAX,MUYMAX,MUZMAX
RETURN
*
500 FORMAT(/41H TRICH3: MAXIMUM BANDWIDTH ALONG W AXIS =,I5/
1 27X,14HALONG X AXIS =,I5/27X,14HALONG Y AXIS =,I5/27X,
2 14HALONG Z AXIS =,I5)
510 FORMAT(/1X,A5/(1X,20I6))
END
|
