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|
!
!---------------------------------------------------------------------
!
!Purpose:
! Support subroutines for isotropic and specular boundary conditions cases
!
!Copyright:
! Copyright (C) 2001 Ecole Polytechnique de Montreal.
!
!Author(s):
! X. Warin
!
!---------------------------------------------------------------------
!
MODULE SAL_AUX_MOD
USE PRECISION_AND_KINDS, ONLY : PDB,SMALL,PI,TWOPI,HALFPI,INFINITY
USE SAL_NUMERIC_MOD, ONLY : SAL141
CONTAINS
SUBROUTINE SAL231(RTRACK,ITRACK,DELX,EX0,EY0,ANGLE)
!
!---------------------------------------------------------------------
!
!Purpose:
! print out trajectory information
!
!Parameters: input
! RTRACK floating point vectors to store trajectory information
! ITRACK integer vectors to store trajectory information
! DELX initial point of trajectory (D=0)
! EX0 first direction cosine
! EY0 second direction cosine
! ANGLE track angle
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_TRACKING_TYPES, ONLY : NNN,NMAX2
!**
IMPLICIT NONE
INTEGER, INTENT(IN), DIMENSION(:) :: ITRACK
REAL(PDB), INTENT(IN), DIMENSION(:) :: RTRACK
REAL(PDB), INTENT(IN) :: DELX,EX0,EY0
REAL(PDB), INTENT(IN) :: ANGLE
!**
INTEGER :: I,KM,K,II,JSURF,JPHI,JPSI,NTRACK,NBTOT,I0
REAL(PDB) :: ANG0
REAL(PDB), PARAMETER :: SMALLT=1.E-10
INTEGER, PARAMETER :: FOUT =6
!**
ANG0=ANGLE
NTRACK=ITRACK(1)
NBTOT=ITRACK(2)
WRITE(FOUT,'(//,3X,"TRAJECTORY",/,3X,"==========", &
& //3X,"DELX = ",1P,E12.4,6X,"EX EY = ",1P,2E12.4, &
& /,3X,"WITH SMALL = ",1P,E12.4,5X,"(",1P,E12.4," DEGREES )", &
& /,3X,"ANGLE # AND WEIGHT ",I6,1P,E12.4, &
& /,3X,"NBER OF SUB-TRAJ = ",I6, &
& /,3X,"NBER OF ELEM IN TRAJ = ",I6,/)') &
DELX,EX0,EY0,SMALLT,ANG0,ITRACK(7),RTRACK(7),NBTOT,NTRACK
WRITE(FOUT,'(/,20X,"SURF",3X,"PHI",3X,"PSI",5X,"SINPHI",7X, &
& "COSPHI",/,20X,4("-"),2(3X,3("-")),5X,6("-"),7X,6("-"))')
IF(ITRACK(5)/=0)THEN
JSURF=1
JPHI=ITRACK(5)
JPSI=JPHI
WRITE(FOUT,'(3X,A14,3I6,2X,1P,2E13.4)')'LEFT SURFACE',JSURF,JPHI,JPSI, &
RTRACK(3),RTRACK(5)
ENDIF
IF(ITRACK(6)/=0)THEN
JSURF=1
JPHI=ITRACK(6)
JPSI=JPHI
WRITE(FOUT,'(3X,A14,3I6,2X,1P,2E13.4)')'RIGHT SURFACE',JSURF,JPHI,JPSI, &
RTRACK(4),RTRACK(6)
ENDIF
IF(NTRACK/=0)THEN
I0=NTRACK+NNN
! print sub-trajectories information
WRITE(FOUT,'(/," SUB-TRAJECTORIES:")')
WRITE(FOUT,'(/," NBER",2X,"NBER OF ELEM",2X," ANGLE", &
&/," ----",2X,"------------",2X," -----")')
DO I=1,NBTOT
WRITE(FOUT,'(I6,"*",4X,I6,5X,I6)')I,ITRACK(I0+2*I-1),ITRACK(I0+2*I)
ENDDO
! print trajectory
WRITE(FOUT,'(/," TRAJECTORY:",/," NBER",3(5X,"REG",2X," LENGTH",3X,"ELEM"),/, &
& 3X,"----",3(5X,"---",3X,"------",3X,"----"),1X,/)')
DO I=1,NTRACK,3
II=I+NNN
KM=MIN(I+2,NTRACK)+NNN
WRITE(FOUT,'(1P,I6,"*",3(I7,E10.2,I7))')I, &
(ITRACK(K),RTRACK(K),ITRACK(K+NMAX2),K=II,KM)
ENDDO
ELSE
WRITE(FOUT,'(1X,"==> Track without intersections")')
ENDIF
WRITE(FOUT,'(/)')
!
END SUBROUTINE SAL231
!
SUBROUTINE SAL232(ITRACK,RTRACK,FACNRM,GG,SURFN,CURRN)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes numerical volumes: uses local macro arrays
!
!Parameters: input
! ITRACK integer vectors to store trajectory information
! RTRACK floating point vectors to store trajectory information
!
!Parameters: input/output
! FACNRM numerical volumes per direction
! SURFN numerical areas
! CURRN numerical currents
! GG geometry basic information.
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : T_G_BASIC
USE SAL_TRACKING_TYPES, ONLY : NNN
!***
IMPLICIT NONE
INTEGER, INTENT(IN), DIMENSION(:) :: ITRACK
REAL(PDB), INTENT(IN), DIMENSION(:) :: RTRACK
REAL(PDB), INTENT(INOUT), DIMENSION(:), OPTIONAL :: SURFN,CURRN
REAL(PDB), INTENT(INOUT), DIMENSION(:,:) :: FACNRM
TYPE(T_G_BASIC) :: GG
! DIMENSION ITRACK(*),RTRACK(*),FACNRM(NBREG,NPHI),
! SURFN(NCURR,2),CURRN(NCURR,2)
!***
INTEGER :: LASTI,II,I,ICURR,NPHI,IPHI,C,P
REAL :: WT,WR
!***
! total weight and space weight
NPHI=SIZE(FACNRM,2)
WT=REAL(RTRACK(7)) ; WR=REAL(RTRACK(8))
LASTI=ITRACK(1)
C=0; P=LASTI+NNN; IPHI=0
DO II=1+NNN,LASTI+NNN
IF((II-NNN)>C) THEN
C=C+ITRACK(P+1)
IPHI=ITRACK(P+2)
IF(IPHI>NPHI) IPHI=IPHI-NPHI
P=P+2
ENDIF
I=ITRACK(II)
IF(IPHI==0) CALL XABORT('SAL232: invalid IPHI')
FACNRM(I,IPHI)=FACNRM(I,IPHI)+RTRACK(II)*WR
ENDDO
IF(GG%NB_SURF2/=0)THEN
ICURR=ITRACK(5)
IF(ICURR>0) THEN
! left surface: convert into 2d horizontal currents:
SURFN(ICURR)=SURFN(ICURR)+WT/RTRACK(5)
CURRN(ICURR)=CURRN(ICURR)+WT
ENDIF
ICURR=ITRACK(6)
IF(ICURR>0) THEN
! right surface: convert into 2d horizontal currents:
SURFN(ICURR)=SURFN(ICURR)+WT/RTRACK(6)
CURRN(ICURR)=CURRN(ICURR)+WT
ENDIF
ENDIF
!
END SUBROUTINE SAL232
!
SUBROUTINE SAL235(NPIECE,THETA0,EX0,EY0,IPAR,RPAR,PEREXT,NPERIM)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes total perimeter projection on line orthogonal to
! trajectory and with origin the center of coordinates
!
!Parameters: input
! THETA0 THETA- and THETA+ for this trajectory
! EX0 first direction cosine
! EY0 second direction cosine
! IPAR integer element data
! RPAR floating point element data
! PEREXT macro perimeter
! NPERIM number of elements in perimeter
!
!Parameters: output
! NPIECE number of pieces
!
!---------------------------------------------------------------------
!
USE SAL_GEOMETRY_TYPES, ONLY : NIPAR,NRPAR,G_ELE_TYPE
USE SAL_TRACKING_TYPES, ONLY : DPIECE
!***
IMPLICIT NONE
REAL(PDB), INTENT(IN) :: EX0,EY0
REAL(PDB), INTENT(IN), DIMENSION(:) :: THETA0
INTEGER, INTENT(OUT) :: NPIECE
INTEGER, INTENT(IN), DIMENSION(:,:) :: IPAR
REAL(PDB), INTENT(IN), DIMENSION(:,:) :: RPAR
INTEGER, INTENT(IN), DIMENSION(:) :: PEREXT
INTEGER, INTENT(IN) :: NPERIM
!***
REAL(PDB) :: X,Y,RAD,DCENT,THETA1,THETA2,THETAM,THETA,DAUX,DMIN,DMAX
INTEGER :: L,ELEM,TYPE,IEND,ISIDE
LOGICAL :: LGONE
REAL(PDB), PARAMETER, DIMENSION(2) :: SIGNV = (/-1._PDB,1._PDB/)
INTEGER, PARAMETER :: FOUT =6
!***
LGONE=.TRUE.
DMIN=0._PDB; DMAX=0._PDB;
DO L=1,NPERIM
ELEM=PEREXT(L)
! treat element
TYPE=IPAR(1,ELEM)
IF(TYPE==G_ELE_TYPE(2))THEN
! circle:
RAD=RPAR(3,ELEM)
DCENT=RPAR(1,ELEM)*EY0-RPAR(2,ELEM)*EX0
! project tangents to circle
IF(LGONE)THEN
DMIN=DCENT-RAD
DMAX=DCENT+RAD
LGONE=.FALSE.
ELSE
DMIN=MIN(DMIN,DCENT-RAD)
DMAX=MAX(DMAX,DCENT+RAD)
ENDIF
ELSE
DO IEND=1,2
CALL SAL141(TYPE,RPAR(:,ELEM),X,Y,IEND)
! project end of element
DAUX=X*EY0-Y*EX0
IF(LGONE)THEN
DMIN=DAUX
DMAX=DAUX
LGONE=.FALSE.
ELSEIF(DAUX<DMIN)THEN
DMIN=DAUX
ELSEIF(DAUX>DMAX)THEN
DMAX=DAUX
ENDIF
ENDDO
IF(TYPE==G_ELE_TYPE(3))THEN
! treat tangent to arc of circles
RAD=RPAR(3,ELEM)
DCENT=RPAR(1,ELEM)*EY0-RPAR(2,ELEM)*EX0
THETA1=RPAR(4,ELEM)
THETA2=RPAR(5,ELEM)
THETAM=THETA2-TWOPI
DO ISIDE=1,2
THETA=THETA0(ISIDE)
IF((THETA>THETA1.AND.THETA<THETA2).OR.THETA<THETAM) THEN
! check projection of tangent
DAUX=DCENT+SIGNV(ISIDE)*RAD
IF(DAUX<DMIN)THEN
DMIN=DAUX
ELSEIF(DAUX>DMAX)THEN
DMAX=DAUX
ENDIF
ENDIF
ENDDO
ELSE
IF(TYPE/=G_ELE_TYPE(1)) CALL XABORT('SAL235: not implemented')
ENDIF
ENDIF
ENDDO
NPIECE=2
DPIECE(1)=DMIN
DPIECE(2)=DMAX
!
END SUBROUTINE SAL235
!
SUBROUTINE SAL237(EX0,EY0,MQ,NQ,PROJTAB,AXIS)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes geometry outline projections on the two symmetrical axis
!
!Parameters: input
! EX0,EY0 horizontal tracking angle cosines
! MQ,NQ cyclic tracking: for a rectangular geometry,
! the length of track is SQRT((MQ*A)**2+(NQ*B)**2)
! where A and B are rectangular sides.
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : LENGTHX,LENGTHY,TYPGEO
USE SAL_TRACKING_TYPES, ONLY : DELR,LENGTH_INV_CYCL
!***
IMPLICIT NONE
REAL(PDB), INTENT(IN) :: EX0,EY0
INTEGER, INTENT(IN) :: MQ,NQ
!***
INTEGER :: IAXIS,NPIECE,AXIS(2),IMQ
REAL(PDB) :: X1,X2,DX,DR,R1,R2,PROJTAB(6),NNQ
REAL, PARAMETER :: EPS3 = 1.0E-3
!***
! minimum radial interval to contain one trajectory
IF(TYPGEO.LE.7) THEN
! Cartesian geometry
IF(NQ>0) THEN ! angle different from 0
X2=LENGTHX/NQ
IF(MQ>0) THEN
X1=0.
ELSE
X1=LENGTHX-X2; X2=LENGTHX
ENDIF
R1=X1*EY0; R2=X2*EY0
NPIECE=INT((R2-R1)/DELR)
IF(NPIECE==0) NPIECE=1
DR=(R2-R1)/NPIECE
DX=DR/EY0
IAXIS=1
ELSE ! angle equal to 0
X1=LENGTHY-LENGTHY/ABS(MQ)
X2=LENGTHY
R1=X1*EX0; R2=X2*EX0
NPIECE=INT((R2-R1)/DELR)
IF(NPIECE==0) NPIECE=1
DR=(R2-R1)/NPIECE
DX=DR/EX0
IF(TYPGEO.EQ.7) DX=DX*SQRT(2.0)
IAXIS=2
ENDIF
IF(TYPGEO.EQ.7) DR=DR/2.0
PROJTAB(:)=(/EX0,EY0,X1,X2,DX,DR/)
! cyclical track length
IF(TYPGEO.EQ.5) THEN
! translation
X1=LENGTHX*ABS(MQ); X2=LENGTHY*ABS(NQ)
ELSE
! specular reflexion
X1=2.*LENGTHX*ABS(MQ); X2=2.*LENGTHY*ABS(NQ)
ENDIF
ELSE IF(TYPGEO.GE.8) THEN
! hexagonal geometry
NNQ=(NQ-ABS(MQ))/2
X2=3.*LENGTHX/REAL(ABS(MQ)+2*NNQ)
IF(X2<=LENGTHX+EPS3) THEN
IAXIS=1
IF(MQ>0) THEN
X1=0.
ELSE
X1=LENGTHX-X2; X2=LENGTHX
ENDIF
ELSE
X1=0.
IF((TYPGEO==8).OR.(TYPGEO==10).OR.(TYPGEO==12)) THEN
! MQ must be positive
IAXIS=2
X2=3.*LENGTHX/(MQ-NNQ)
ELSE
IF(MQ>0) THEN
IAXIS=2
X2=3.*LENGTHX/(2*MQ+NNQ)
ELSE
IAXIS=6
X2=3.*LENGTHX/(2*ABS(MQ)+NNQ)
ENDIF
ENDIF
ENDIF
R1=X1*EY0; R2=X2*EY0
NPIECE=INT((R2-R1)/DELR)
IF(NPIECE==0) NPIECE=1
DR=(R2-R1)/NPIECE
DX=DR/EY0
! empirical correction of track weight in hexagonal cases (don't ask why)
IF(TYPGEO==8) THEN
IMQ=ABS(MQ)
IF(((IMQ==1).AND.(NQ==15)).OR.((IMQ==7).AND.(NQ==9)).OR.((IMQ==8).AND.(NQ==6))) THEN
DR=DR/3.0
ELSE IF(((IMQ==1).AND.(NQ==9)).OR.((IMQ==4).AND.(NQ==6)).OR.((IMQ==5).AND.(NQ==3))) THEN
DR=DR/3.0
ELSE IF(((IMQ==1).AND.(NQ==7)).OR.((IMQ==3).AND.(NQ==5)).OR.((IMQ==4).AND.(NQ==2))) THEN
DR=DR*5.0/12.0
ELSE IF(((IMQ==1).AND.(NQ==5)).OR.((IMQ==2).AND.(NQ==4)).OR.((IMQ==3).AND.(NQ==1))) THEN
DR=DR*4.0/9.0
ELSE IF(((IMQ==2).AND.(NQ==8)).OR.((IMQ==3).AND.(NQ==7)).OR.((IMQ==5).AND.(NQ==1))) THEN
DR=DR*7.0/15.0
ELSE IF(((IMQ==4).AND.(NQ==14)).OR.((IMQ==5).AND.(NQ==13)).OR.((IMQ==9).AND.(NQ==1))) THEN
DR=13.0*DR/27.0
ENDIF
ELSE IF(TYPGEO==9) THEN
IF(ABS(MQ)/NQ > 1) DR=(0.5+1.5*ABS(MQ)/NQ)*DR
ELSE IF(TYPGEO==10) THEN
IMQ=ABS(MQ)
IF(((IMQ==1).AND.(NQ==15)).OR.((IMQ==8).AND.(NQ==6))) THEN
DR=0.25*DR
ELSE IF(((IMQ==1).AND.(NQ==9)).OR.((IMQ==5).AND.(NQ==3))) THEN
DR=0.25*DR
ELSE IF(((IMQ==1).AND.(NQ==7)).OR.((IMQ==4).AND.(NQ==2))) THEN
DR=DR*5.0/14.0
ELSE IF(((IMQ==1).AND.(NQ==5)).OR.((IMQ==3).AND.(NQ==1))) THEN
DR=DR*2.0/5.0
ELSE IF(((IMQ==2).AND.(NQ==8)).OR.((IMQ==5).AND.(NQ==1))) THEN
DR=DR*7.0/16.0
ELSE IF(((IMQ==4).AND.(NQ==14)).OR.((IMQ==9).AND.(NQ==1))) THEN
DR=13.0*DR/28.0
ELSE
DR=0.5*DR
ENDIF
ELSE IF(TYPGEO==11) THEN
IMQ=ABS(MQ)
IF(((IMQ==1).AND.(NQ==15)).OR.((IMQ==8).AND.(NQ==6))) THEN
DR=0.5*DR
ELSE IF(((IMQ==1).AND.(NQ==9)).OR.((IMQ==5).AND.(NQ==3))) THEN
DR=0.5*DR
ELSE IF(((IMQ==1).AND.(NQ==7)).OR.((IMQ==4).AND.(NQ==2))) THEN
DR=0.7742663247*DR
ELSE IF(((IMQ==1).AND.(NQ==5)).OR.((IMQ==3).AND.(NQ==1))) THEN
DR=0.8257638060*DR
ELSE IF(((IMQ==2).AND.(NQ==8)).OR.((IMQ==5).AND.(NQ==1))) THEN
DR=0.8863607851*DR
ELSE IF(((IMQ==4).AND.(NQ==14)).OR.((IMQ==9).AND.(NQ==1))) THEN
DR=0.9327596923*DR
ENDIF
ELSE IF(TYPGEO==12) THEN
IMQ=ABS(MQ)
IF(((IMQ==1).AND.(NQ==15)).OR.((IMQ==7).AND.(NQ==9)).OR.((IMQ==8).AND.(NQ==6))) THEN
DR=DR/6.0
ELSE IF(((IMQ==1).AND.(NQ==9)).OR.((IMQ==4).AND.(NQ==6)).OR.((IMQ==5).AND.(NQ==3))) THEN
DR=DR/6.0
ELSE IF(((IMQ==1).AND.(NQ==7)).OR.((IMQ==3).AND.(NQ==5)).OR.((IMQ==4).AND.(NQ==2))) THEN
DR=DR*5.0/24.0
ELSE IF(((IMQ==1).AND.(NQ==5)).OR.((IMQ==2).AND.(NQ==4)).OR.((IMQ==3).AND.(NQ==1))) THEN
DR=DR*2.0/9.0
ELSE IF(((IMQ==2).AND.(NQ==8)).OR.((IMQ==3).AND.(NQ==7)).OR.((IMQ==5).AND.(NQ==1))) THEN
DR=0.232645602188*DR
ELSE IF(((IMQ==4).AND.(NQ==14)).OR.((IMQ==5).AND.(NQ==13)).OR.((IMQ==9).AND.(NQ==1))) THEN
DR=13.0*DR/54.0
ENDIF
ENDIF
PROJTAB(:)=(/EX0,EY0,X1,X2,DX,DR/)
! cyclical track length
X1=LENGTHX*ABS(MQ)*1.5D0; X2=LENGTHX*(2*NNQ+ABS(MQ))*SQRT(3.D0)/2.D0
ENDIF
AXIS(:)=(/NPIECE,IAXIS/)
LENGTH_INV_CYCL=1./SQRT(X1*X1+X2*X2)
END SUBROUTINE SAL237
!
SUBROUTINE SAL220_1(ANGLE)
!
!---------------------------------------------------------------------
!
!Purpose:
! computes unit vectors for the two rotative axis
!
!Parameters: input
! ANGLE angle between the two rotative axis
!
!---------------------------------------------------------------------
!
USE PRECISION_AND_KINDS, ONLY : PDB
USE SAL_GEOMETRY_TYPES, ONLY : LENGTHX,LENGTHY,TYPGEO
USE SAL_TRACKING_TYPES, ONLY : HX,HY,BX,BY
!****
IMPLICIT NONE
REAL(PDB), INTENT(IN) :: ANGLE
!****
! unit vector for the axis 1:
HX(1)=1.; HY(1)=0.
! unit vector for the axis 2:
HX(2)=COS(ANGLE); HY(2)=SIN(ANGLE)
BX(:)=0.; BY(:)=0.
IF((TYPGEO.EQ.5).OR.(TYPGEO.EQ.6)) THEN
HX(3:4)=HX(1:2); HY(3:4)=HY(1:2)
BX(4)=LENGTHX
BY(3)=LENGTHY
ELSE IF(TYPGEO.EQ.7) THEN
HX(3)=0.; HY(3)=1.
BX(3)=LENGTHX
ELSE IF((TYPGEO.EQ.8).OR.(TYPGEO.EQ.10)) THEN
HX(3)=COS(ANGLE*2.); HY(3)=SIN(ANGLE*2.)
BX(3)=LENGTHX
ELSE IF(TYPGEO.EQ.9) THEN
HX(1)=1.; HY(1)=0.; BX(1)=-LENGTHX*0.5; BY(1)=-LENGTHY
HX(4)=1.; HY(4)=0.; BX(4)=-LENGTHX*0.5; BY(4)=LENGTHY
HX(2)=COS(ANGLE*2.); HY(2)=SIN(ANGLE*2.); BX(2)=BX(1); BY(2)=BY(1)
HX(5)=HX(2); HY(5)=HY(2); BX(5)=LENGTHX; BY(5)=0.
HX(3)=COS(ANGLE); HY(3)=SIN(ANGLE); BX(3)=-LENGTHX; BY(3)=0.
HX(6)=HX(3); HY(6)=HY(3); BX(6)=LENGTHX*0.5; BY(6)=-LENGTHY
ELSE IF(TYPGEO.EQ.11) THEN
BX(3)=LENGTHX*0.5; BY(3)=LENGTHY
HX(3)=1.; HY(3)=0.
BX(4)=LENGTHX
HX(4)=COS(ANGLE); HY(4)=SIN(ANGLE)
ELSE IF(TYPGEO.EQ.12) THEN
HX(3)=COS(PI/2.0+ANGLE); HY(3)=SIN(PI/2.0+ANGLE)
BX(3)=LENGTHX
ENDIF
!
END SUBROUTINE SAL220_1
END MODULE SAL_AUX_MOD
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