*DECK NXTPCA SUBROUTINE NXTPCA(IPRINT,NDIM ,IDIRC ,MXMESH,MAXSUR,MAXREG, > MESH ,DMESH ,NPIN ,ITPIN ,DPIN , > NBSUR ,NBREG ,INDXSR,SURVOL) * *---------- * *Purpose: * Remove from the volumes or surfaces * associated with a Cartesian 2-D or 3-D geometry * the volumes or surfaces of the overlapping pins. * *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. * IDIRC the direction of the first axis of a Cartesian geometry * assuming the axis are in a cyclic rotation. * 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 Cartesian geometry. * NPIN number of pins to superimpose on geometry. * ITPIN type of pin. * DPIN pin location and dimensions. * NBSUR number of surfaces in the geometry. * NBREG final number of non void regions in the geometry. * *Parameters: input/output * INDXSR local indexing of regions. * SURVOL volume of regions. * *Reference: * G. Marleau, * New Geometries Processing in DRAGON: The NXT: Module, * Report IGE-260, Polytechnique Montreal, * Montreal, 2005. * *Comments: * 1- Meaning of IDIRC: * IDIRC axes in 1-D axes in 2-D axes in 3-D * 1 x (x,y) (x,y,z) * 2 y (y,z) (y,z,x) * 3 z (z,x) (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); * 3- Contents of the DPIN array for pin IPIN: * if(ITPIN(3,IPIN) = 1) then * -> annular pin * if(IDIRC = 1) then * ->annular regions in the $X-Y$ plane * centre (x,y,z)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * outer pin radius r=DPIN(4,IPIN) * pin height dz(iz)=DPIN(3,IPIN) * else if(IDIRC = 2) then * ->annular regions in the $Y-Z$ plane * centre (y,z,x)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * outer pin radius r=DPIN(4,IPIN) * pin height dx(ix)=DPIN(1,IPIN) * else if(IDIRC = 3) then * ->annular regions in the $Z-X$ plane * centre (z,x,y)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * outer pin radius r=DPIN(4,IPIN) * pin height dy(iy)=DPIN(2,IPIN) * endif * else if(ITPIN(3,IPIN) = 2) then * -> Cartesian pin * if(IDIRC = 1) then * ->Cartesian region in the $X-Y$ plane * centre (x,y,z)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * pin width in $X$ dx=DPIN(1,IPIN) * pin width in $Y$ dy=DPIN(2,IPIN) * pin height dz(iz)=DPIN(3,IPIN) * else if(IDIRC = 2) then * ->Cartesian region in the $Y-Z$ plane * centre (y,z,x)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * pin width in $Y$ dy=DPIN(2,IPIN) * pin width in $Z$ dz=DPIN(3,IPIN) * pin height dx(ix)=DPIN(1,IPIN) * else if(IDIRC = 3) then * ->Cartesian region in the $Z-X$ plane * centre (z,x,y)=(DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) * DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)),0.0D0) * pin width in $Z$ dz=DPIN(3,IPIN) * pin width in $X$ dx=DPIN(1,IPIN) * pin height dy(iy)=DPIN(2,IPIN) * endif * endif * 4- 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 =0 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 =0 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,IDIRC,MXMESH,MAXSUR,MAXREG INTEGER MESH(4) DOUBLE PRECISION DMESH(-1:MXMESH,4) INTEGER NPIN,ITPIN(3,NPIN) DOUBLE PRECISION DPIN(-1:4,NPIN) INTEGER NBSUR,NBREG,INDXSR(5,-MAXSUR:MAXREG) DOUBLE PRECISION SURVOL(-MAXSUR:MAXREG) *---- * Local parameters *---- INTEGER IOUT CHARACTER NAMSBR*6 PARAMETER (IOUT=6,NAMSBR='NXTPCA') 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,NXTIRR INTEGER ITYIRP DOUBLE PRECISION VOLINT *---- * Local variables *---- INTEGER ID,IDG,IDIR(MAXDIM),NM(MAXDIM),IDM(MAXDIM), > IDGP1,IDGP2,IDGPP,NSOZB,NSOZT INTEGER IPIN,IXYZ,IZ,IY,IX,ISUR,IVOL,IR,ILOC DOUBLE PRECISION ZB,ZT DOUBLE PRECISION POSPIN(0:2),XYPIN(4),XYCAR(4) DOUBLE PRECISION VOLPIN,PPRMIN,PPRMAX,PPPMIN,PPPMAX,DPP *---- * Data *---- CHARACTER CDIR(MAXDIM)*1 SAVE CDIR DATA CDIR /'X','Y','Z','R'/ *---- * Prepare loops over spatial directions as a function * of IDIRC and NDIM for Cartesian mesh. *---- IF(NDIM .LT. 2) CALL XABORT(NAMSBR// >': Problem must be 2-D or 3-D') ITYIRP=0 VOLPIN=DZERO ZB=DZERO ZT=DZERO PI=XDRCST('Pi',' ') DO 100 ID=1,NDIM IDG=MOD(IDIRC+ID-2,3)+1 IDIR(ID)=IDG NM(IDG)=MESH(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 IDGP1=IDIR(1) IDGP2=IDIR(2) IDGPP=IDIR(3) NSOZB=2*NM(IDGPP)*(NM(IDGP1)+NM(IDGP2)) NSOZT=NSOZB+NM(IDGP1)*NM(IDGP2) *---- * Print mesh if required *---- IF(IPRINT .GE. 100) THEN WRITE(IOUT,6000) NAMSBR *---- * Cartesian mesh *---- 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 *---- * Pin description *---- WRITE(IOUT,6007) 'PINDIR',IDGPP DO 610 IPIN=1,NPIN WRITE(IOUT,6017) 'PinTyp',IPIN,ITPIN(3,IPIN) IF(ITPIN(3,IPIN) .GE. 1) THEN WRITE(IOUT,6019) 'PinC'//CDIR(IDGP1)//CDIR(IDGP2),IPIN, > DPIN(0,IPIN)*COS(DPIN(-1,IPIN)), > DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)) WRITE(IOUT,6018) 'PinRad',IPIN,DPIN(4,IPIN) ELSE IF(ITPIN(3,IPIN) .LE. -1) THEN WRITE(IOUT,6019) 'PinC'//CDIR(IDGP1)//CDIR(IDGP2),IPIN, > DPIN(0,IPIN)*COS(DPIN(-1,IPIN)), > DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)) WRITE(IOUT,6019) 'PinW'//CDIR(IDGP1)//CDIR(IDGP2),IPIN, > DPIN(IDGP1,IPIN),DPIN(IDGP2,IPIN) ENDIF IF(NDIM .EQ. 3) THEN WRITE(IOUT,6019) 'PinPo'//CDIR(IDGPP),IPIN, > DMESH(-1,IDGPP)-DPIN(IDGPP,IPIN)/DTWO, > DMESH(-1,IDGPP)+DPIN(IDGPP,IPIN)/DTWO ENDIF 610 CONTINUE ENDIF *---- * Loop over pins *---- DO 110 IPIN=1,NPIN *---- * for 3-D problem, * Find pin bottom (ZB) and top (ZT) z location. *---- IF(NDIM .EQ. 3) THEN ZB=DMESH(-1,IDGPP)-DPIN(IDGPP,IPIN)/DTWO ZT=ZB+DPIN(IDGPP,IPIN) ENDIF IF(ITPIN(3,IPIN) .GE. 1) THEN *---- * Annular pin properties *---- POSPIN(0)=DPIN(4,IPIN) POSPIN(1)=DPIN(0,IPIN)*COS(DPIN(-1,IPIN)) POSPIN(2)=DPIN(0,IPIN)*SIN(DPIN(-1,IPIN)) VOLPIN=PI*POSPIN(0)*POSPIN(0) ELSE IF (ITPIN(3,IPIN) .LE. -1) THEN *---- * Rectangular pin properties *---- XYPIN(1)=DMESH(-1,IDGP1)-DPIN(IDGP1,IPIN)/DTWO XYPIN(2)=DMESH(-1,IDGP1)+DPIN(IDGP1,IPIN)/DTWO XYPIN(3)=DMESH(-1,IDGP2)-DPIN(IDGP2,IPIN)/DTWO XYPIN(4)=DMESH(-1,IDGP2)+DPIN(IDGP2,IPIN)/DTWO VOLPIN=DPIN(IDGP2,IPIN)*DPIN(IDGP1,IPIN) ENDIF *---- * 1- Loop over second normal direction *---- DO 120 IY=1,NM(IDGP2) XYCAR(3)=DMESH(IY-1,IDGP2) XYCAR(4)=DMESH(IY,IDGP2) *---- * 2- Loop over first normal direction *---- DO 121 IX=1,NM(IDGP1) XYCAR(1)=DMESH(IX-1,IDGP1) XYCAR(2)=DMESH(IX,IDGP1) IF(ITPIN(3,IPIN) .GE. 1) THEN *---- * Find rectangle/annular pin intersection *---- ITYIRP=NXTIRA(XYCAR ,POSPIN,VOLINT) ELSE IF (ITPIN(3,IPIN) .LE. -1) THEN *---- * Find rectangle/rectangular pin intersection *---- ITYIRP=NXTIRR(XYCAR ,XYPIN ,VOLINT) ENDIF IF(ITYIRP .NE. 0) THEN VOLPIN=VOLPIN-VOLINT *---- * There is an intersection possible between the pin and * the rectangle. * 1- Look for botton and top surface in 3-D *---- IF(NDIM .EQ. 3) THEN ILOC=(IY-1)*NM(IDGP1)+IX IF(ZB .LE. DMESH(0,IDGPP) .AND. > ZT .GE. DMESH(0,IDGPP)) THEN *---- * Remove area contribution from bottom surface *---- ISUR=NSOZB+ILOC SURVOL(-ISUR)=SURVOL(-ISUR)-VOLINT ENDIF IF(ZB .LE. DMESH(NM(IDGPP),IDGPP) .AND. > ZT .GE. DMESH(NM(IDGPP),IDGPP)) THEN *---- * Remove area contribution from top surface *---- ISUR=NSOZT+ILOC SURVOL(-ISUR)=SURVOL(-ISUR)-VOLINT ENDIF PPPMIN=ZB PPPMAX=PPPMIN+DPIN(IDGPP,IPIN) DO 130 IZ=1,NM(IDGPP) PPRMIN=MAX(DMESH(IZ-1,IDGPP),PPPMIN) PPRMAX=MIN(DMESH(IZ,IDGPP),PPPMAX) IF(PPRMIN .LT. PPRMAX) THEN DPP=VOLINT*(PPRMAX-PPRMIN) IVOL=((IZ-1)*NM(IDGP2)+(IY-1))*NM(IDGP1)+IX SURVOL(IVOL)=SURVOL(IVOL)-DPP ENDIF 130 CONTINUE ELSE IVOL=(IY-1)*NM(IDGP1)+IX SURVOL(IVOL)=SURVOL(IVOL)-VOLINT ENDIF ENDIF *---- * If pin all extracted, go to next pin *---- IF(VOLPIN .LE. DZERO) GO TO 115 121 CONTINUE 120 CONTINUE 115 CONTINUE 110 CONTINUE *---- * Test for negative surface area and volumes *---- DO 140 ISUR=1,NBSUR IF(SURVOL(-ISUR) .LT. -DCUTOF) THEN WRITE(IOUT,9000) NAMSBR,-ISUR WRITE(IOUT,9002) (INDXSR(IR,-ISUR),IR=1,5),SURVOL(-ISUR) CALL XABORT(NAMSBR// > ': Region with negative surface area detected') ELSE IF(SURVOL(-ISUR) .LT. DCUTOF) THEN SURVOL(-ISUR)=DZERO ENDIF 140 CONTINUE DO 141 IVOL=1,NBREG IF(SURVOL(IVOL) .LT. -DCUTOF) THEN WRITE(IOUT,9001) NAMSBR,IVOL WRITE(IOUT,9002) (INDXSR(IR,IVOL),IR=1,5),SURVOL(IVOL) CALL XABORT(NAMSBR// > ': Region with negative volume detected') ELSE IF(SURVOL(IVOL) .LT. DCUTOF) THEN SURVOL(IVOL)=DZERO ENDIF 141 CONTINUE *---- * Print volumes if required *---- IF(IPRINT .GE. 100) THEN WRITE(IOUT,6002) 'SurVol' WRITE(IOUT,6005) (IVOL,(INDXSR(IR,IVOL),IR=1,5),SURVOL(IVOL), > IVOL=-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,:,',')) 6006 FORMAT(6(F20.10,:,',')) 6007 FORMAT(A6,'=',I10,';') 6017 FORMAT(A6,I4.4,'=',I10,';') 6018 FORMAT(A6,I4.4,'=',F20.10,';') 6019 FORMAT(A6,I4.4,'={',F20.10,',',F20.10,'};') *---- * Error and Warning formats *---- 9000 FORMAT('**** ERROR in -- ',A6,'-- found'/ > ' Area of region ',I5,' is negative') 9001 FORMAT('**** ERROR in -- ',A6,'-- found'/ > ' Volume of region ',I5,' is negative') 9002 FORMAT(5I10,F20.10) END