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*DECK NXTVHC
SUBROUTINE NXTVHC(IPRINT,NDIM ,MXMESH,MAXSUR,MAXREG,
> MESH ,DMESH ,NBSUR ,NBREG ,INDXSR,SURVOL,
> POSTRI)
*
*----------
*
*Purpose:
* Compute the volume and area associated with each region
* or surface for a annular/hexagon with triangular mesh
* in 2-D or 3-D geometry.
*
*Copyright:
* Copyright (C) 2005 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):
* G. Marleau.
*
*Parameters: input
* IPRINT print level.
* NDIM dimension of problem.
* MXMESH maximum number of spatial subdivision in
* $X$, $Y$ and $Z$.
* MAXSUR maximum number of surfaces in the geometry.
* MAXREG maximum number of regions in the geometry.
* MESH effective number of spatial subdivision in
* each direction ($X$, $Y$ and $Z$).
* DMESH spatial description of the parallepiped.
* POSTRI triangle position:
* POSTRI(1,*,*,*) is X position;
* POSTRI(2,*,*,*) is Y position;
* POSTRI(*,1,*,*) is location of first corner;
* POSTRI(*,2,*,*) is location of second corner;
* POSTRI(*,3,*,*) is location of third corner;
* POSTRI(*,*,i,j) is location of triangle i in cector j.
*
*Parameters: output
* NBSUR number of surfaces in the geometry.
* NBREG number of regions in the geometry.
* INDXSR local indexing of surfaces/regions.
* SURVOL area/volume of regions.
*
*Comments:
* 1- Contents of the DMESH array:
* hexagonal mesh is DMESH(i,1) for i=0,MESH(1);
* mesh in $Z$ is z(k)=DMESH(k,3) for k=0,MESH(3);
* annular regions in the $X-Y$ plane
* centre of cylinder in (x,y)=(DMESH(-1,1),DMESH(-1,2))
* radius of shells r(l)=DMESH(l,4), l=1,MESH(4)
* 2- Contents of the INDXSR array:
* For i>0
* INDXSR(1,i)= iu is the $U$ location of region i
* INDXSR(2,i)= iv is the $V$ location of region i
* INDXSR(3,i)= iz is the $Z$ location of region i
* INDXSR(4,i)= ir is the $R$ location of region i
* INDXSR(5,i)= iw is the $W$ location of region i
* For i<0
* INDXSR(1,i)= iu is the $U$ location of surface i
* INDXSR(2,i)= iv is the $V$ location of surface i
* INDXSR(3,i)= iz is the $Z$ location of surface i
* INDXSR(4,i)= ir is the $R$ location of surface i
* INDXSR(5,i)= iw is the $W$ location of surface i
* with INDXSR(n,i)=-1 for surface associated with
* location 0 in direction n.
* with INDXSR(n,i)=-2 for surface associated with
* location MESH(n) in direction n.
* Note that for radial regions INDXSR(n,i)=-1 does not
* exists.
*
*----------
*
IMPLICIT NONE
*----
* Subroutine arguments
*----
INTEGER IPRINT,NDIM,MXMESH,MAXSUR,MAXREG
INTEGER MESH(4)
DOUBLE PRECISION DMESH(-1:MXMESH,4)
INTEGER NBSUR,NBREG,INDXSR(5,-MAXSUR:MAXREG)
DOUBLE PRECISION SURVOL(-MAXSUR:MAXREG)
DOUBLE PRECISION POSTRI(2,3,MXMESH*MXMESH,6)
*----
* Local parameters
*----
INTEGER IOUT
CHARACTER NAMSBR*6
PARAMETER (IOUT=6,NAMSBR='NXTVHC')
INTEGER MAXDIM
PARAMETER (MAXDIM=4)
DOUBLE PRECISION DZERO
PARAMETER (DZERO=0.0D0)
*----
* Functions
*----
INTEGER NXTITA,ITYITA
DOUBLE PRECISION VOLINT
*----
* Local variables
*----
INTEGER NX,NZ,NR,NRTP,NRP,NSTP,NSP,NRTPP,NRP1,
> IT,IZ,IR,ISECT,IOFS,IVSI,NBVHEX,NBSHEX
DOUBLE PRECISION POSANN(0:2),VOLZ
INTEGER ILVI,ILVT,IDIR,IOFZ,IS1,ISURTF,ISURTI,
> IVOLF,IVOLI,NBREGT,
> NSKPF,NSKPI,NBSURT
*----
* Prepare loop over Z-direction.
*----
NX=MESH(1)
NZ=MESH(3)
NR=MESH(4)
NRTP=NX**2
NRP=6*NRTP
NSTP=2*NX-1
NSP=6*NSTP
NRP1=NR+1
NRTPP=NRP*NRP1
*----
* Compute number of surfaces
* 1- Surface parallel to cylinder axis
*----
NBVHEX=NRP
NBREG=NRTPP
NBSUR=NSP
NBSHEX=NSP
IF(NDIM .EQ. 3) THEN
NBREG=NBREG*NZ
NBSUR=NBSHEX*NZ+2*NRTPP
NBVHEX=NBVHEX*NZ
NBSHEX=NBSHEX*NZ+2*NRP
ENDIF
NBREGT=NBVHEX
NBSURT=NBSHEX
*----
* 2- Surface normal to cylinder axis (if any)
*----
NSKPI=0
NSKPF=0
IF(NDIM .NE. 3) THEN
NSKPI=NRP
NSKPF=(NR+1)*NSKPI
ENDIF
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6000) NAMSBR
WRITE(IOUT,6010) 'H',NX
WRITE(IOUT,6011) 'MESHH ='
WRITE(IOUT,6012) (DMESH(IT,1),IT=-1,2*NX)
IF(NDIM .EQ. 3) THEN
WRITE(IOUT,6010) 'Z',NZ
WRITE(IOUT,6011) 'MESHZ ='
WRITE(IOUT,6012) (DMESH(IZ,3),IZ=-1,NZ)
ENDIF
WRITE(IOUT,6010) 'R',NR
WRITE(IOUT,6011) 'MESHR ='
WRITE(IOUT,6012) (DMESH(IR,4),IR=-1,NR)
ENDIF
SURVOL(-MAXSUR:MAXREG)=DZERO
*----
* Call NXTVHT to obtain the triangles volumes and external surfaces
*----
CALL NXTVHT(IPRINT,NDIM ,MXMESH,NBSHEX,NBVHEX,
> MESH ,DMESH ,NBSURT,NBREGT,
> INDXSR(1,-NBSHEX),SURVOL(-NBSHEX))
*----
* For 3-D case, displace hexagonal surfaces towards
* the end of SURVOL leaving space for the possible
* annular sub-surfaces (skip NR spaces for radial volumes).
*----
ISURTF=NBSUR
ISURTI=NBSURT
IF(NDIM .EQ. 3) THEN
DO IZ=1,2
DO IT=1,NRP
SURVOL(-ISURTF)=SURVOL(-ISURTI)
SURVOL(-ISURTI)=DZERO
DO IDIR=1,5
INDXSR(IDIR,-ISURTF)=INDXSR(IDIR,-ISURTI)
INDXSR(IDIR,-ISURTI)=0
ENDDO
ISURTF=ISURTF-NRP1
ISURTI=ISURTI-1
ENDDO
ENDDO
ENDIF
*----
* Displace triangular volumes towards the end of vector
* SURVOL leaving space for the possible annular sub-regions.
*----
IVOLF=NBREG
DO IVOLI=NBREGT,1,-1
SURVOL(IVOLF)=SURVOL(IVOLI)
SURVOL(IVOLI)=DZERO
DO IDIR=1,5
INDXSR(IDIR,IVOLF)=INDXSR(IDIR,IVOLI)
INDXSR(IDIR,IVOLI)=0
ENDDO
IVOLF=IVOLF-NRP1
ENDDO
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6002) 'SurVolTri'
WRITE(IOUT,6005) (ILVT,(INDXSR(IDIR,ILVT),IDIR=1,5),
> SURVOL(ILVT),ILVT=-NBSUR,NBREG)
WRITE(IOUT,6003)
ENDIF
*----
* Loop over radial regions for triangular region
* intersection.
*----
POSANN(1)=0.0
POSANN(2)=0.0
DO IR=NR,1,-1
POSANN(0)=DMESH(IR,4)
*----
* Loop over a single sector of triangle since centered annular
* region
*----
ISECT=1
DO IT=1,NRTP
ITYITA=NXTITA(POSTRI(1,1,IT,ISECT),POSANN,VOLINT)
IF(ITYITA .NE. 0) THEN
* WRITE(IOUT,*) 'IR,ISECT,IT,ITYITA,VOLINT',
* > IR,ISECT,IT,ITYITA,VOLINT
IF(NDIM .EQ. 3) THEN
*----
* Remove contribution from top and bottom surfaces
*----
IOFZ=NSP*NZ
DO IZ=1,2
IOFS=(IT-1)*NRP1+IR
DO IS1=1,6
ISURTF=IOFZ+IOFS
ISURTI=ISURTF+1
SURVOL(-ISURTI)=SURVOL(-ISURTI)-VOLINT
SURVOL(-ISURTF)=VOLINT
INDXSR(1,-ISURTF)=INDXSR(1,-ISURTI)
INDXSR(2,-ISURTF)=INDXSR(2,-ISURTI)
INDXSR(3,-ISURTF)=INDXSR(3,-ISURTI)
INDXSR(4,-ISURTF)=IR
INDXSR(5,-ISURTF)=INDXSR(5,-ISURTI)
IOFS=IOFS+NRP1*NRTP
ENDDO
IOFZ=IOFZ+NRTPP
ENDDO
*----
* Remove contributions to volumes
*----
IOFZ=0
DO IZ=1,NZ
IOFS=(IT-1)*NRP1+IR
VOLZ=VOLINT*(DMESH(IZ,3)-DMESH(IZ-1,3))
DO IS1=1,6
ILVT=IOFZ+IOFS
ILVI=ILVT+1
SURVOL(ILVI)=SURVOL(ILVI)-VOLZ
SURVOL(ILVT)=VOLZ
INDXSR(1,ILVT)=INDXSR(1,ILVI)
INDXSR(2,ILVT)=INDXSR(2,ILVI)
INDXSR(3,ILVT)=INDXSR(3,ILVI)
INDXSR(4,ILVT)=IR
INDXSR(5,ILVT)=INDXSR(5,ILVI)
IOFS=IOFS+NRP1*NRTP
ENDDO
IOFZ=IOFZ+NRTPP
ENDDO
ELSE
IOFS=(IT-1)*NRP1+IR
VOLZ=VOLINT
DO IS1=1,6
ILVT=IOFS
ILVI=ILVT+1
SURVOL(ILVI)=SURVOL(ILVI)-VOLZ
SURVOL(ILVT)=VOLZ
INDXSR(1,ILVT)=INDXSR(1,ILVI)
INDXSR(2,ILVT)=INDXSR(2,ILVI)
INDXSR(3,ILVT)=INDXSR(3,ILVI)
INDXSR(4,ILVT)=IR
INDXSR(5,ILVT)=INDXSR(5,ILVI)
IOFS=IOFS+NRP1*NRTP
ENDDO
ENDIF
ENDIF
ENDDO
ENDDO
*----
* Print surfaces and volumes if required and return
*----
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6002) 'SurVolTriAnn'
WRITE(IOUT,6005) (IVSI,(INDXSR(IR,IVSI),IR=1,5),SURVOL(IVSI),
> IVSI=-NBSUR,NBREG)
WRITE(IOUT,6003)
WRITE(IOUT,6001) NAMSBR
ENDIF
RETURN
*----
* Output formats
*----
6000 FORMAT('(* Output from --',A6,'-- follows ')
6001 FORMAT(' Output from --',A6,'-- completed *)')
6002 FORMAT(A12,'={')
6003 FORMAT('};')
6005 FORMAT((6(I10,','),F20.10,:,','))
6010 FORMAT(1X,'MESH DIMENSIONS IN ',A1,' =',I10)
6011 FORMAT(1X,A7)
6012 FORMAT(5F20.10)
END
|
