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|
*DECK NXTVCC
SUBROUTINE NXTVCC(IPRINT,NDIM ,IDIRCX,MXMESH,MAXSUR,MAXREG,
> MESH ,DMESH ,NBSUR ,NBREG ,INDXSR,SURVOL)
*
*----------
*
*Purpose:
* Compute the volume of each region for a mixed annular/Cartesian
* 2-D or 3-D geometry using the NXT tracking procedure.
*
*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.
* IDIRCX the direction of the first axis of an annular geometry
* assuming the axis are in a cyclic rotation.
* A negative value means that the external boundary is
* annular while a positive boundary implies that the
* external boundaries are Cartesian.
* MXMESH maximum number of spatial subdivision in
* $R$ and $X$, $Y$ or $Z$.
* MAXSUR maximum number of surfaces in the geometry.
* MAXREG maximum number of regions in the geometry.
* MESH effective number of spatial subdivision in $R$
* and $X$, $Y$ or $Z$.
* DMESH spatial description of the cylinder.
*
*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.
*
*Reference:
* G. Marleau,
* New Geometries Processing in DRAGON: The NXT: Module,
* Report IGE-260, Polytechnique Montreal,
* Montreal, 2005.
*
*Comments:
* 1- Contents of IDIRCX:
* IDIRCX Annulus in 2-D plane Cylinder directions in 3-D
* +/- 1 (x,y) z
* +/- 2 (y,z) x
* +/- 3 (z,x) y
* 2- Contents of the DMESH array:
* mesh in $X$ is x(i)=DMESH(i,1) for i=0,MESH(1);
* mesh in $Y$ is y(j)=DMESH(j,2) for j=0,MESH(2);
* mesh in $Z$ is z(k)=DMESH(k,3) for k=0,MESH(3);
* if(IDIRC = 1) then
* ->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)
* else if(IDIRC = 2) then
* ->annular regions in the $Y-Z$ plane
* centre of cylinder in (y,z)=(DMESH(-1,2),DMESH(-1,3))
* radius of shells r(l)=DMESH(l,4), l=1,MESH(4)
* else if(IDIRC = 3) then
* ->annular regions in the $Z-X$ plane
* centre of cylinder in (z,x)=(DMESH(-1,3),DMESH(-1,1))
* radius of shells r(l)=DMESH(l,4), l=1,MESH(4)
* endif
* 3- Contents of the INDXSR array:
* For i>0
* INDXSR(1,i)= ix is the $X$ location of region i
* INDXSR(2,i)= iy is the $Y$ 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)= not used.
* For i<0
* INDXSR(1,i)= ix is the $X$ location of surface i
* INDXSR(2,i)= iy is the $Y$ 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)= not used.
* 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,IDIRCX,MXMESH,MAXSUR,MAXREG
INTEGER MESH(4)
DOUBLE PRECISION DMESH(-1:MXMESH,4)
INTEGER NBSUR,NBREG,INDXSR(5,-MAXSUR:MAXREG)
DOUBLE PRECISION SURVOL(-MAXSUR:MAXREG)
*----
* Local parameters
*----
INTEGER IOUT
CHARACTER NAMSBR*6
PARAMETER (IOUT=6,NAMSBR='NXTVCC')
INTEGER MAXDIM
PARAMETER (MAXDIM=4)
DOUBLE PRECISION DCUTOF
PARAMETER (DCUTOF=1.0D-8)
DOUBLE PRECISION DZERO,DONE,DTWO
PARAMETER (DZERO=0.0D0,DONE=1.0D0,DTWO=2.0D0)
*----
* Functions
*----
DOUBLE PRECISION XDRCST,PI
INTEGER NXTIRA,ITYIRA
DOUBLE PRECISION VOLINT
*----
* Local variables
*----
INTEGER NBVCAR,ID,IDG,IDIR(MAXDIM),
> NM(MAXDIM),IDM(MAXDIM)
INTEGER IDIRC,IDGP1,IDGP2,IDGPP,NBSCAR,NSKPI,NSKPF
INTEGER NBSURT,NBREGT,NRP1
INTEGER ISURTF,ISURBF,ISURTI,ISURBI,IS,IN,IVOLF,IVOLI
INTEGER IR,IX,IY,IZ,IXYZ,ISURTN,ISURBN,ILVI,ILVT,IOF
INTEGER IDX,IDY,IDZ,IDR,NOFSUR
DOUBLE PRECISION XYCAR(4),POSANN(0:2),DZ
INTEGER IPRNT2
*----
* Data
*----
CHARACTER CDIR(MAXDIM)*1
SAVE CDIR
DATA CDIR /'X','Y','Z','R'/
*----
* Prepare radial and axial loops over spatial directions
* as a function of IDIRC and NDIM.
*----
DZ=DONE
IDIRC=ABS(IDIRCX)
IF(IDIRC .EQ. 1) THEN
IDX=1
IDY=2
IDZ=3
ELSE IF(IDIRC .EQ. 2) THEN
IDX=2
IDY=3
IDZ=1
ELSE
IDX=3
IDY=1
IDZ=2
ENDIF
IDR=4
IPRNT2=IPRINT/2
PI=XDRCST('Pi',' ')
IF(NDIM .EQ. 1) CALL XABORT(NAMSBR//
>': Only 2-D and 3-D problems permitted')
SURVOL(-MAXSUR:MAXREG)=DZERO
*----
* Prepare loops over spatial directions as a function
* of IDIRC and NDIM.
* Compute number of Cartesian surfaces.
*----
NBVCAR=1
DO 100 ID=1,NDIM
IDG=MOD(IDIRC+ID-2,3)+1
IDIR(ID)=IDG
NM(IDG)=MESH(IDG)
NBVCAR=NBVCAR*NM(IDG)
IDM(IDG)=1
100 CONTINUE
DO 101 ID=NDIM+1,3
IDG=MOD(IDIRC+ID-2,3)+1
IDIR(ID)=IDG
NM(IDG)=1
IDM(IDG)=0
101 CONTINUE
IDG=4
IDIR(4)=IDG
NM(IDG)=MESH(IDG)
IDM(IDG)=1
NBREG=NBVCAR*NM(IDG)
NRP1=NM(4)
IF(IDIRCX .GT. 0) THEN
NRP1=NRP1+1
NBREG=NBREG+NBVCAR
ENDIF
IDGP1=IDIR(1)
IDGP2=IDIR(2)
IDGPP=IDIR(3)
IF(MAXREG .LT. NBREG) CALL XABORT(NAMSBR//
>': Insufficient space to store region volumes')
*----
* Compute number of Cartesian surfaces
* 1- Surface parallel to cylinder axis
*----
IF(IDIRCX .GT. 0) THEN
NBSCAR=0
NBSUR=0
DO 102 ID=1,2
IDG=IDIR(ID)
NBSCAR=NBSCAR+2*NBVCAR/NM(IDG)
NBSUR=NBSUR+2*NBVCAR/NM(IDG)
102 CONTINUE
ELSE
NBSUR=0
NBSCAR=0
ENDIF
*----
* 2- Surface normal to cylinder axis (if any)
*----
NSKPI=0
NSKPF=0
DO 103 ID=3,NDIM
IDG=IDIR(ID)
NSKPI=NBVCAR/NM(IDG)
NSKPF=NM(4)*NSKPI
IF(IDIRCX .GT. 0) THEN
NSKPF=NSKPF+NSKPI
ENDIF
NBSCAR=NBSCAR+2*NSKPI
NBSUR=NBSUR+2*NSKPF
103 CONTINUE
IF(MAXSUR .LT. NBSUR) CALL XABORT(NAMSBR//
>': Insufficient space to store surface areas')
*----
* Print mesh if required
*----
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6000) NAMSBR
WRITE(IOUT,6002) 'CENTER'//CDIR(IDGP1)//CDIR(IDGP2)
WRITE(IOUT,6006) (DMESH(-1,IDIR(ID)),ID=1,2)
WRITE(IOUT,6003)
WRITE(IOUT,6002) 'RADIAL'
WRITE(IOUT,6006) (DMESH(IR,4),IR=1,MESH(4))
WRITE(IOUT,6003)
DO 600 ID=1,NDIM
IDG=IDIR(ID)
WRITE(IOUT,6002) 'MESH'//CDIR(IDG)
WRITE(IOUT,6006) (DMESH(IXYZ,IDG),IXYZ=0,NM(IDG))
WRITE(IOUT,6003)
600 CONTINUE
ENDIF
NOFSUR=NBSUR
IF(IDIRCX .GT. 0) THEN
*----
* Compute volumes and surfaces associated with
* Cartesian regions.
*----
CALL NXTVCA(IPRNT2,NDIM ,IDIRC ,MXMESH,
> NBSCAR,NBVCAR,MESH ,DMESH ,
> NBSURT,NBREGT,
> INDXSR(1,-NBSCAR),SURVOL(-NBSCAR))
*----
* For 3-D case, displace Cartesian surfaces towards
* the end of SURVOL leaving space for the possible
* annular sub-surfaces.
*----
IF(NDIM .EQ. 3) THEN
ISURTF=NBSUR
ISURTI=NBSURT
IF(IDIRC .GT. 1) THEN
*----
* Displace Z faces
*----
DO IZ=1,2
DO IY=1,NM(2)
DO IX=1,NM(1)
SURVOL(-ISURTF)=SURVOL(-ISURTI)
SURVOL(-ISURTI)=DZERO
DO IN=1,5
INDXSR(IN,-ISURTF)=INDXSR(IN,-ISURTI)
INDXSR(IN,-ISURTI)=0
ENDDO
ISURTF=ISURTF-1
ISURTI=ISURTI-1
ENDDO
ENDDO
ENDDO
ENDIF
IF(IDIRC .EQ. 2) THEN
*----
* Displace Y faces
*----
DO IY=1,2
DO IX=1,NM(1)
DO IZ=1,NM(3)
SURVOL(-ISURTF)=SURVOL(-ISURTI)
SURVOL(-ISURTI)=DZERO
DO IN=1,5
INDXSR(IN,-ISURTF)=INDXSR(IN,-ISURTI)
INDXSR(IN,-ISURTI)=0
ENDDO
ISURTF=ISURTF-1
ISURTI=ISURTI-1
ENDDO
ENDDO
ENDDO
ENDIF
*----
* Displace (X (2), Y (3) , or Z (1)) and leave space for annular
*----
NOFSUR=ISURTF
DO IS=NSKPI,1,-1
SURVOL(-ISURTF)=SURVOL(-ISURTI)
SURVOL(-ISURTI)=DZERO
DO IN=1,5
INDXSR(IN,-ISURTF)=INDXSR(IN,-ISURTI)
INDXSR(IN,-ISURTI)=0
ENDDO
ISURTF=ISURTF-NRP1
ISURTI=ISURTI-1
ENDDO
DO IS=NSKPI,1,-1
SURVOL(-ISURTF)=SURVOL(-ISURTI)
SURVOL(-ISURTI)=DZERO
DO IN=1,5
INDXSR(IN,-ISURTF)=INDXSR(IN,-ISURTI)
INDXSR(IN,-ISURTI)=0
ENDDO
ISURTF=ISURTF-NRP1
ISURTI=ISURTI-1
ENDDO
ENDIF
*----
* Displace Cartesian 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 IN=1,5
INDXSR(IN,IVOLF)=INDXSR(IN,IVOLI)
INDXSR(IN,IVOLI)=0
ENDDO
IVOLF=IVOLF-NRP1
ENDDO
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6002) 'SurVol'
WRITE(IOUT,6005) (ILVT,(INDXSR(IR,ILVT),IR=1,5),SURVOL(ILVT),
> ILVT=-NBSUR,NBREG)
WRITE(IOUT,6003)
ENDIF
ENDIF
*----
* Loop over radial regions for Cartesian/annular region
* intersection.
*----
ISURTF=NOFSUR-NSKPF+1
ISURBF=NOFSUR-2*NSKPF+1
DO 120 IR=NM(4),1,-1
POSANN(0)=DMESH(IR,4)
POSANN(1)=DMESH(-1,IDGP1)
POSANN(2)=DMESH(-1,IDGP2)
*----
* Loop over second normal direction
*----
DO 121 IY=1,NM(IDGP2)
XYCAR(3)=DMESH(IY-1,IDGP2)
XYCAR(4)=DMESH(IY,IDGP2)
*----
* Loop over first normal direction
*----
DO 122 IX=1,NM(IDGP1)
XYCAR(1)=DMESH(IX-1,IDGP1)
XYCAR(2)=DMESH(IX,IDGP1)
*----
* Rectangle/annular region intersection
*----
ITYIRA=NXTIRA(XYCAR,POSANN,VOLINT)
IF(ITYIRA .NE. 0) THEN
IF(NDIM .EQ. 3) THEN
*----
* For 3-D problem when
* rectangle and annular regions intersect:
* Correct top and bottom surfaces
*----
ISURTI=ISURTF+NRP1*(IX-1+NM(IDGP1)*(IY-1))
ISURBI=ISURBF+NRP1*(IX-1+NM(IDGP1)*(IY-1))
ISURTN=ISURTI+IR-1
ISURTI=ISURTI+IR
ISURBN=ISURBI+IR-1
ISURBI=ISURBI+IR
IF(IR .NE. NM(4) .OR. IDIRCX .GT. 0) THEN
SURVOL(-ISURTI)=SURVOL(-ISURTI)-VOLINT
SURVOL(-ISURBI)=SURVOL(-ISURBI)-VOLINT
ENDIF
SURVOL(-ISURTN)=VOLINT
SURVOL(-ISURBN)=VOLINT
INDXSR(IDX,-ISURTN)=IX
INDXSR(IDX,-ISURBN)=IX
INDXSR(IDY,-ISURTN)=IY
INDXSR(IDY,-ISURBN)=IY
INDXSR(IDZ,-ISURTN)=-2
INDXSR(IDZ,-ISURBN)=-1
INDXSR(IDR,-ISURTN)=IR
INDXSR(IDR,-ISURBN)=IR
ENDIF
*----
* 2- Volumes
*----
DO 124 IZ=1,NM(IDGPP)
IF(IDIRC .EQ. 1) THEN
IOF=NRP1*(IX-1+NM(IDGP1)*((IY-1)+(IZ-1)*NM(IDGP2)))
ELSE IF(IDIRC .EQ. 2) THEN
IOF=NRP1*(IZ-1+NM(IDGPP)*((IX-1)+(IY-1)*NM(IDGP1)))
ELSE
IOF=NRP1*(IY-1+NM(IDGP2)*((IZ-1)+(IX-1)*NM(IDGPP)))
ENDIF
ILVT=IR+IOF
ILVI=ILVT+1
DZ=DONE
IF(IDM(IDGPP) .EQ. 1)
> DZ=DMESH(IZ,IDGPP)-DMESH(IZ-1,IDGPP)
IF(IR .NE. NM(4) .OR. IDIRCX .GT. 0) THEN
SURVOL(ILVI)=SURVOL(ILVI)-VOLINT*DZ
ENDIF
SURVOL(ILVT)=VOLINT*DZ
INDXSR(IDX,ILVT)=IX
INDXSR(IDY,ILVT)=IY
INDXSR(IDZ,ILVT)=IZ
INDXSR(IDR,ILVT)=IR
124 CONTINUE
ENDIF
122 CONTINUE
121 CONTINUE
120 CONTINUE
IF(IDIRCX .LT. 0) THEN
*----
* Add radial surfaces
*----
ISURTN=NBSUR
DO 130 IZ=1,NM(IDGPP)
ISURTN=ISURTN+1
IF(IDM(IDGPP) .EQ. 1) DZ=DMESH(IZ,IDGPP)-DMESH(IZ-1,IDGPP)
SURVOL(-ISURTN)=DZ*DTWO*PI*DMESH(NM(4),4)
INDXSR(IDX,-ISURTN)=0
INDXSR(IDY,-ISURTN)=0
INDXSR(IDZ,-ISURTN)=IZ
INDXSR(IDR,-ISURTN)=-2
130 CONTINUE
NBSUR=ISURTN
ENDIF
IF(IPRINT .GE. 100) THEN
WRITE(IOUT,6002) 'SurVol'
WRITE(IOUT,6005) (ILVT,(INDXSR(IR,ILVT),IR=1,5),SURVOL(ILVT),
> ILVT=-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,','),D20.10,:,','))
6006 FORMAT(4(F20.10,:,','))
END
|
