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*DECK SYBUQ0
SUBROUTINE SYBUQ0(ZZR,ZZI,NSURF,NREG,SIGT,MNA,LGFULL,PSI,QSS)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the one-group DP-1 leakage and transmission
* probabilities in a sectorized Cartesian or hexagonal cell.
*
*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. Hebert
*
*Parameters: input
* ZZR real tracking elements.
* ZZI integer tracking elements.
* NSURF number of surfaces.
* NREG number of regions.
* SIGT total macroscopic cross section.
* MNA number of angles.
* LGFULL voided region flag (=.TRUE. in voided regions).
*
*Parameters: output
* PSI escape probabilities.
* QSS transmission probabilities.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ZZI(*),NSURF,NREG,MNA
REAL ZZR(*),SIGT(NREG),PSI(0:NSURF-1,3,NREG),
1 QSS(9*NSURF*(NSURF-1)/2)
LOGICAL LGFULL(NREG)
*----
* LOCAL VARIABLES
*----
PARAMETER (MKI3=600,MKI4=600,MKI5=600)
PARAMETER (ZI30=0.785398164,ZI40=0.666666667)
LOGICAL LGEMPT
REAL, ALLOCATABLE, DIMENSION(:) :: POPTX
REAL, ALLOCATABLE, DIMENSION(:,:) :: COSINU
COMMON /BICKL3/BI3(0:MKI3),BI31(0:MKI3),BI32(0:MKI3),PAS3,XLIM3,L3
COMMON /BICKL4/BI4(0:MKI4),BI41(0:MKI4),BI42(0:MKI4),PAS4,XLIM4,L4
COMMON /BICKL5/BI5(0:MKI5),BI51(0:MKI5),BI52(0:MKI5),PAS5,XLIM5,L5
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(POPTX(2*NREG+4),COSINU(2,0:NSURF-1))
*----
* CHECK FOR VOIDED REGIONS
*----
LGEMPT=.FALSE.
DO 10 IR=1,NREG
LGEMPT=LGEMPT.OR.(.NOT.LGFULL(IR))
10 CONTINUE
*----
* INITIALIZATION
*----
IZ0=0
IZR=4
DO 22 I=1,NREG
DO 21 J=1,3
DO 20 K=0,NSURF-1
PSI(K,J,I)=0.0
20 CONTINUE
21 CONTINUE
22 CONTINUE
DO 30 I=1,9*NSURF*(NSURF-1)/2
QSS(I)=0.0
30 CONTINUE
*
IF(LGEMPT) THEN
* VOIDED REGION DETECTED.
* LOOP OVER THE ANGLE (FROM 0 TO PI/3).
DO 100 IA=1,MNA
MNT=ZZI(IZ0+1)
IZ0=IZ0+2
IZFINI=IZ0
IOF=IZR
DO 40 I=0,NSURF-1
IOF=IOF+1
COSINU(1,I)=ZZR(IOF)
IOF=IOF+1
COSINU(2,I)=ZZR(IOF)
40 CONTINUE
IZR=IZR+NSURF*2+1
*
* LOOP OVER COMPLETE TRACKS.
DO 90 ITT=1,MNT
IZ0=IZ0+1
NH=ZZI(IZ0)
IZ0=IZ0+1
NX=ZZI(IZ0)
*
* WEST SIDE.
IZ0=IZ0+1
ISW=ZZI(IZ0)
IZDEBU=IZ0
IZFINI=IZ0+NH+1
*
DO 80 ITX=1,NX
IZR=IZR+1
WITRAJ=ZZR(IZR)
IZ0=IZDEBU
*
* COMPUTE OPTICAL LENGTHS.
DO 50 IX=1,NH
IZ0=IZ0+1
IR=ZZI(IZ0)+1-NSURF
IZR=IZR+1
SEG=ZZR(IZR)
POPTX(IX)=SEG*SIGT(IR)
50 CONTINUE
*
IZ0=IZ0+1
ISE=ZZI(IZ0)
*
* EXTERNAL IS IXI=0
IZ0=IZDEBU
PKI3=ZI30*WITRAJ
PKI4=ZI40*WITRAJ
TAUX=0.
DO 60 IXI=1,NH
QIJ3=PKI3
QIJ4=PKI4
IZ0=IZ0+1
IRS=ZZI(IZ0)+1-NSURF
TAUP=TAUX
TAUX=TAUX+POPTX(IXI)
IF(TAUX.GE.XLIM3) THEN
PKI3=0.0
PKI4=0.0
ELSE
K=NINT(TAUX*PAS3)
PKI3=(BI3(K)+TAUX*(BI31(K)+TAUX*BI32(K)))*WITRAJ
PKI4=(BI4(K)+TAUX*(BI41(K)+TAUX*BI42(K)))*WITRAJ
ENDIF
SIJ3=QIJ3-PKI3
SIJ4=QIJ4-PKI4
*
* COMPUTE LEAKAGE PROBABILITIES.
IF(.NOT. LGFULL(IRS)) THEN
CALL SYB32C(SIJ3,TAUP,POPTX(IXI),2)
SIJ3=SIJ3*WITRAJ
CALL SYB32C(SIJ4,TAUP,POPTX(IXI),3)
SIJ4=SIJ4*WITRAJ
ENDIF
PSI(ISW,1,IRS)=PSI(ISW,1,IRS)+SIJ3
PSI(ISW,2,IRS)=PSI(ISW,2,IRS)+SIJ4*COSINU(2,ISW)
PSI(ISW,3,IRS)=PSI(ISW,3,IRS)+SIJ4*COSINU(1,ISW)
60 CONTINUE
*
* EXTERNAL IS IXI=NH
IZ0=IZFINI
PKI3=ZI30*WITRAJ
PKI4=ZI40*WITRAJ
TAUX=0.
DO 70 IXI=NH,1,-1
QIJ3=PKI3
QIJ4=PKI4
IZ0=IZ0-1
IRS=ZZI(IZ0)+1-NSURF
TAUP=TAUX
TAUX=TAUX+POPTX(IXI)
IF(TAUX.GE.XLIM3) THEN
PKI3=0.0
PKI4=0.0
ELSE
K=NINT(TAUX*PAS3)
PKI3=(BI3(K)+TAUX*(BI31(K)+TAUX*BI32(K)))*WITRAJ
PKI4=(BI4(K)+TAUX*(BI41(K)+TAUX*BI42(K)))*WITRAJ
ENDIF
SIJ3=QIJ3-PKI3
SIJ4=QIJ4-PKI4
IF(.NOT. LGFULL(IRS)) THEN
CALL SYB32C(SIJ3,TAUP,POPTX(IXI),2)
SIJ3=SIJ3*WITRAJ
CALL SYB32C(SIJ4,TAUP,POPTX(IXI),3)
SIJ4=SIJ4*WITRAJ
ENDIF
PSI(ISE,1,IRS)=PSI(ISE,1,IRS)+SIJ3
PSI(ISE,2,IRS)=PSI(ISE,2,IRS)+SIJ4*COSINU(2,ISE)
PSI(ISE,3,IRS)=PSI(ISE,3,IRS)+SIJ4*COSINU(1,ISE)
70 CONTINUE
*
IF(TAUX.GE.XLIM5) THEN
PKI5=0.0
ELSE
K=NINT(TAUX*PAS5)
PKI5=(BI5(K)+TAUX*(BI51(K)+TAUX*BI52(K)))*WITRAJ
ENDIF
*
* COMPUTE TRANSMISSION PROBABILITIES.
IIJ=0
IS1=0
IS2=0
IF(ISW .LT. ISE) THEN
IIJ=((ISE-1)*ISE)/2+ISW
IS1=ISW
IS2=ISE
ELSE IF(ISE .LT. ISW) THEN
IIJ=((ISW-1)*ISW)/2+ISE
IS2=ISW
IS1=ISE
ELSE
CALL XABORT('SYBUQ0: IDENTICAL INCOMING AND OUTCOMING SUR'
1 //'FACES(1).')
ENDIF
IIJ=IIJ*9
QSS(IIJ+1)=QSS(IIJ+1)+PKI3
QSS(IIJ+2)=QSS(IIJ+2)+PKI4*COSINU(2,IS1)
QSS(IIJ+3)=QSS(IIJ+3)+PKI4*COSINU(1,IS1)
QSS(IIJ+4)=QSS(IIJ+4)+PKI4*COSINU(2,IS2)
QSS(IIJ+7)=QSS(IIJ+7)+PKI4*COSINU(1,IS2)
QSS(IIJ+5)=QSS(IIJ+5)+PKI5*COSINU(2,IS1)*COSINU(2,IS2)
QSS(IIJ+6)=QSS(IIJ+6)+PKI5*COSINU(1,IS1)*COSINU(2,IS2)
QSS(IIJ+8)=QSS(IIJ+8)+PKI5*COSINU(2,IS1)*COSINU(1,IS2)
QSS(IIJ+9)=QSS(IIJ+9)+PKI5*COSINU(1,IS1)*COSINU(1,IS2)
* END OF TRACK.
80 CONTINUE
IZ0=IZFINI
90 CONTINUE
* END OF ANGLE
100 CONTINUE
ELSE
* NO VOIDED REGION DETECTED. FAST INTEGRATION METHOD.
* LOOP OVER THE ANGLE (FROM 0 TO PI/3).
DO 170 IA=1,MNA
MNT=ZZI(IZ0+1)
IZ0=IZ0+2
IZFINI=IZ0
IOF=IZR
DO 110 I=0,NSURF-1
IOF=IOF+1
COSINU(1,I)=ZZR(IOF)
IOF=IOF+1
COSINU(2,I)=ZZR(IOF)
110 CONTINUE
IZR=IZR+NSURF*2+1
*
* LOOP OVER COMPLETE TRACKS.
DO 160 ITT=1,MNT
IZ0=IZ0+1
NH=ZZI(IZ0)
IZ0=IZ0+1
NX=ZZI(IZ0)
*
* WEST SIDE.
IZ0=IZ0+1
ISW=ZZI(IZ0)
IZDEBU=IZ0
IZFINI=IZ0+NH+1
DO 150 ITX=1,NX
IZR=IZR+1
WITRAJ=ZZR(IZR)
IZ0=IZDEBU
*
* COMPUTE OPTICAL LENGTHS.
DO 120 IX=1,NH
IZ0=IZ0+1
IR=ZZI(IZ0)+1-NSURF
IZR=IZR+1
SEG=ZZR(IZR)
POPTX(IX)=SEG*SIGT(IR)
120 CONTINUE
*
IZ0=IZ0+1
ISE=ZZI(IZ0)
*
* EXTERNAL IS IXI=0
IZ0=IZDEBU
PKI3=ZI30*WITRAJ
PKI4=ZI40*WITRAJ
TAUX=0.
DO 130 IXI=1,NH
QIJ3=PKI3
QIJ4=PKI4
IZ0=IZ0+1
IRS=ZZI(IZ0)+1-NSURF
TAUX=TAUX+POPTX(IXI)
IF(TAUX.GE.XLIM3) THEN
PKI3=0.0
PKI4=0.0
ELSE
K=NINT(TAUX*PAS3)
PKI3=(BI3(K)+TAUX*(BI31(K)+TAUX*BI32(K)))*WITRAJ
PKI4=(BI4(K)+TAUX*(BI41(K)+TAUX*BI42(K)))*WITRAJ
ENDIF
SIJ3=QIJ3-PKI3
SIJ4=QIJ4-PKI4
*
* COMPUTE LEAKAGE PROBABILITIES.
PSI(ISW,1,IRS)=PSI(ISW,1,IRS)+SIJ3
PSI(ISW,2,IRS)=PSI(ISW,2,IRS)+SIJ4*COSINU(2,ISW)
PSI(ISW,3,IRS)=PSI(ISW,3,IRS)+SIJ4*COSINU(1,ISW)
130 CONTINUE
*
* EXTERNAL IS IXI=NH
IZ0=IZFINI
PKI3=ZI30*WITRAJ
PKI4=ZI40*WITRAJ
TAUX=0.
DO 140 IXI=NH,1,-1
QIJ3=PKI3
QIJ4=PKI4
IZ0=IZ0-1
IRS=ZZI(IZ0)+1-NSURF
TAUX=TAUX+POPTX(IXI)
IF(TAUX.GE.XLIM3) THEN
PKI3=0.0
PKI4=0.0
ELSE
K=NINT(TAUX*PAS3)
PKI3=(BI3(K)+TAUX*(BI31(K)+TAUX*BI32(K)))*WITRAJ
PKI4=(BI4(K)+TAUX*(BI41(K)+TAUX*BI42(K)))*WITRAJ
ENDIF
SIJ3=QIJ3-PKI3
SIJ4=QIJ4-PKI4
PSI(ISE,1,IRS)=PSI(ISE,1,IRS)+SIJ3
PSI(ISE,2,IRS)=PSI(ISE,2,IRS)+SIJ4*COSINU(2,ISE)
PSI(ISE,3,IRS)=PSI(ISE,3,IRS)+SIJ4*COSINU(1,ISE)
140 CONTINUE
*
IF(TAUX.GE.XLIM5) THEN
PKI5=0.0
ELSE
K=NINT(TAUX*PAS5)
PKI5=(BI5(K)+TAUX*(BI51(K)+TAUX*BI52(K)))*WITRAJ
ENDIF
*
* COMPUTE TRANSMISSION PROBABILITIES.
IIJ=0
IS1=0
IS2=0
IF(ISW .LT. ISE) THEN
IIJ=((ISE-1)*ISE)/2+ISW
IS1=ISW
IS2=ISE
ELSE IF(ISE .LT. ISW) THEN
IIJ=((ISW-1)*ISW)/2+ISE
IS2=ISW
IS1=ISE
ELSE
CALL XABORT('SYBUQ0: IDENTICAL INCOMING AND OUTCOMING SUR'
1 //'FACES(2).')
ENDIF
IIJ=IIJ*9
QSS(IIJ+1)=QSS(IIJ+1)+PKI3
QSS(IIJ+2)=QSS(IIJ+2)+PKI4*COSINU(2,IS1)
QSS(IIJ+3)=QSS(IIJ+3)+PKI4*COSINU(1,IS1)
QSS(IIJ+4)=QSS(IIJ+4)+PKI4*COSINU(2,IS2)
QSS(IIJ+7)=QSS(IIJ+7)+PKI4*COSINU(1,IS2)
QSS(IIJ+5)=QSS(IIJ+5)+PKI5*COSINU(2,IS1)*COSINU(2,IS2)
QSS(IIJ+6)=QSS(IIJ+6)+PKI5*COSINU(1,IS1)*COSINU(2,IS2)
QSS(IIJ+8)=QSS(IIJ+8)+PKI5*COSINU(2,IS1)*COSINU(1,IS2)
QSS(IIJ+9)=QSS(IIJ+9)+PKI5*COSINU(1,IS1)*COSINU(1,IS2)
* END OF TRACK.
150 CONTINUE
IZ0=IZFINI
160 CONTINUE
* END OF ANGLE.
170 CONTINUE
ENDIF
*----
* NUMERICAL ORTHONORMALIZATION
*----
Z1=ZZR(1)
Z2=ZZR(2)
Z3=ZZR(3)
Z4=ZZR(4)
DO 185 IRS=1,NREG
DO 180 ISE=0,NSURF-1
DEN0=PSI(ISE,1,IRS)
PSI(ISE,1,IRS)=0.25*Z1*Z1*DEN0
PSI(ISE,2,IRS)=0.25*Z1*Z4*PSI(ISE,2,IRS)
PSI(ISE,3,IRS)=0.25*Z1*(Z2*PSI(ISE,3,IRS)-Z3*DEN0)
180 CONTINUE
185 CONTINUE
IIJ=0
DO 190 IS=1,NSURF*(NSURF-1)/2
DEN0=QSS(IIJ+1)
DEN1=QSS(IIJ+3)
DEN2=QSS(IIJ+7)
QSS(IIJ+1)=Z1*Z1*DEN0
QSS(IIJ+3)=Z1*(Z2*DEN1-Z3*DEN0)
QSS(IIJ+7)=Z1*(Z2*DEN2-Z3*DEN0)
QSS(IIJ+9)=Z2*Z2*QSS(IIJ+9)-Z2*Z3*(DEN1+DEN2)+Z3*Z3*DEN0
DEN1=QSS(IIJ+2)
DEN2=QSS(IIJ+4)
QSS(IIJ+2)=Z1*Z4*DEN1
QSS(IIJ+4)=Z1*Z4*DEN2
QSS(IIJ+6)=(Z2*QSS(IIJ+6)-Z3*DEN2)*Z4
QSS(IIJ+8)=(Z2*QSS(IIJ+8)-Z3*DEN1)*Z4
QSS(IIJ+5)=Z4*Z4*QSS(IIJ+5)
IIJ=IIJ+9
190 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(COSINU,POPTX)
RETURN
END
|
