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*DECK SYBRN2
SUBROUTINE SYBRN2 (NREG,NSURF,A,B,Z,IZ,VOL,SIGT,TRONC,PVS,PSS)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Compute the DP-1 leakage and transmission probabilities for an
* heterogeneous non-sectorized square or rectangular cell. The tracks
* are computed by SYBRTK.
*
*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
* NREG number of regions in the cell.
* NSURF number of surfaces.
* A dimension of the external X sides.
* B dimension of the external Y sides.
* Z real tracking information.
* IZ integer tracking information.
* VOL volumes.
* SIGT total macroscopic cross section.
* TRONC voided block criterion.
*
*Parameters: output
* PVS volume to surface probabilities:
* XINF surfaces 1, 2 and 3; XSUP surfaces 4, 5 and 6;
* YINF surfaces 7, 8 and 9; YSUP surfaces 10, 11 and 12.
* PSS surface to surface probabilities in the following order:
* PSS(i,j) is the probability from surface i to surface j.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER NREG,NSURF,IZ(*)
REAL A,B,Z(*),VOL(NREG),SIGT(NREG),TRONC,PVS(NREG,3*NSURF),
1 PSS(3*NSURF,3*NSURF)
*----
* LOCAL VARIABLES
*----
PARAMETER (MKI3=600,MKI4=600,MKI5=600)
PARAMETER (PI=3.141592654,ZI30=0.785398164,ZI40=0.666666667)
LOGICAL ICARE
REAL KI3,KI4,KI5
INTEGER ISN(12,12)
REAL PBB(28)
REAL, ALLOCATABLE, DIMENSION(:,:) :: COSINU
*----
* BICKLEY TABLES
*----
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
*
SAVE ISN
DATA ISN/ 0, 0, 0, 4, 12, 0, 1, 9,-19, 1, 9, 19,
1 0, 0, 0, 8, 16, 0, 5, 13,-23, 5, 13, 23,
2 0, 0, 0, 0, 0, 28, 17, 21,-25,-17,-21,-25,
3 4, 12, 0, 0, 0, 0, 1, 9, 19, 1, 9,-19,
4 8, 16, 0, 0, 0, 0, 5, 13, 23, 5, 13,-23,
5 0, 0, 28, 0, 0, 0,-17,-21,-25, 17, 21,-25,
6 3, 11, 20, 3, 11,-20, 0, 0, 0, 2, 10, 0,
7 7, 15, 24, 7, 15,-24, 0, 0, 0, 6, 14, 0,
8 -18,-22,-27, 18, 22,-27, 0, 0, 0, 0, 0, 26,
9 3, 11,-20, 3, 11, 20, 2, 10, 0, 0, 0, 0,
1 7, 15,-24, 7, 15, 24, 6, 14, 0, 0, 0, 0,
2 18, 22,-27,-18,-22,-27, 0, 0, 26, 0, 0, 0/
*----
* SCRATCH STORAGE ALLOCATION
*----
ALLOCATE(COSINU(2,NSURF))
*----
* INTEGRATION USING THE TRACKING
*----
ICARE=IZ(1).EQ.2
ZERO=TRONC*(A+B)/(2.0*A*B)
AOB=A/B
PBB(:28)=0.0
PVS(:NREG,:12)=0.0
IZ0=2
IZR=4
DO 205 IA=1,IZ(2)
DO 20 I=1,NSURF
COSINU(1,I)=Z(IZR+1)
COSINU(2,I)=Z(IZR+2)
IZR=IZR+2
20 CONTINUE
MNT=IZ(IZ0+1)
IZ0=IZ0+2
IZR=IZR+1
DO 200 IMNT=1,MNT
NH=IZ(IZ0+1)
NX=IZ(IZ0+2)
ISURF=IZ(IZ0+3)+1
JSURF=IZ(IZ0+NH+4)+1
DO 190 INX=1,NX
Z1=Z(IZR+1)
IZR=IZR+1
IF((ISURF.EQ.3).AND.(JSURF.EQ.2)) THEN
Z1=0.5*Z1/A
Z2=Z1*COSINU(1,ISURF)
Z3=Z1*COSINU(2,ISURF)
Z4=Z1*COSINU(1,ISURF)*COSINU(1,JSURF)
Z5=Z1*COSINU(2,ISURF)*COSINU(1,JSURF)
KI3=ZI30
KI4=ZI40
POP=0.0
DO 40 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+I)
IF(POP.LT.XLIM3) GO TO 30
IF(SIGTI.LE.ZERO) GO TO 50
PVS(III,7)=PVS(III,7)+2.0*KI3*Z1
PVS(III,8)=PVS(III,8)+2.0*KI4*Z3
GO TO 50
30 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,7)=PVS(III,7)+2.0*TABKI(2,POP0)*Z(IZR+I)*Z1
PVS(III,8)=PVS(III,8)+2.0*KI3*Z(IZR+I)*Z3
ELSE
PVS(III,7)=PVS(III,7)+2.0*(KI3-WI3)*Z1
PVS(III,8)=PVS(III,8)+2.0*(KI4-WI4)*Z3
ENDIF
KI3=WI3
KI4=WI4
40 CONTINUE
50 KI3=ZI30
KI4=ZI40
POP=0.0
K=0
DO 80 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+NH+1-I)
IF(POP.LT.XLIM3) GO TO 70
IF(SIGTI.LE.ZERO) GO TO 185
PVS(III,1)=PVS(III,1)+2.0*KI3*Z1*AOB
PVS(III,2)=PVS(III,2)+2.0*KI4*Z2*AOB
GO TO 185
70 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,1)=PVS(III,1)+2.0*TABKI(2,POP0)*Z(IZR+NH+1-I)*Z1*AOB
PVS(III,2)=PVS(III,2)+2.0*KI3*Z(IZR+NH+1-I)*Z2*AOB
ELSE
PVS(III,1)=PVS(III,1)+2.0*(KI3-WI3)*Z1*AOB
PVS(III,2)=PVS(III,2)+2.0*(KI4-WI4)*Z2*AOB
ENDIF
KI3=WI3
KI4=WI4
80 CONTINUE
KI5=BI5(K)+POP*(BI51(K)+POP*BI52(K))
PBB(1)=PBB(1)+KI3*Z1
PBB(5)=PBB(5)+KI4*Z2
PBB(9)=PBB(9)+KI4*Z3
PBB(13)=PBB(13)+KI5*Z4
PBB(21)=PBB(21)+KI5*Z5
PBB(23)=PBB(23)+KI5*(Z1-Z5)
ELSE IF((ISURF.EQ.3).AND.(JSURF.EQ.4)) THEN
Z1=Z1/A
Z2=Z1*COSINU(2,ISURF)
Z3=Z1*COSINU(2,ISURF)*COSINU(2,JSURF)
KI3=ZI30
KI4=ZI40
POP=0.0
K=0
DO 100 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+I)
IF(POP.LT.XLIM3) GO TO 90
IF(SIGTI.LE.ZERO) GO TO 110
PVS(III,7)=PVS(III,7)+KI3*Z1
PVS(III,8)=PVS(III,8)+KI4*Z2
GO TO 110
90 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,7)=PVS(III,7)+TABKI(2,POP0)*Z(IZR+I)*Z1
PVS(III,8)=PVS(III,8)+KI3*Z(IZR+I)*Z2
ELSE
PVS(III,7)=PVS(III,7)+(KI3-WI3)*Z1
PVS(III,8)=PVS(III,8)+(KI4-WI4)*Z2
ENDIF
KI3=WI3
KI4=WI4
100 CONTINUE
110 KI3=ZI30
KI4=ZI40
POP=0.0
DO 130 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+NH+1-I)
IF(POP.LT.XLIM3) GO TO 120
IF(SIGTI.LE.ZERO) GO TO 185
PVS(III,7)=PVS(III,7)+KI3*Z1
PVS(III,8)=PVS(III,8)+KI4*Z2
GO TO 185
120 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,7)=PVS(III,7)+TABKI(2,POP0)*Z(IZR+NH+1-I)*Z1
PVS(III,8)=PVS(III,8)+KI3*Z(IZR+NH+1-I)*Z2
ELSE
PVS(III,7)=PVS(III,7)+(KI3-WI3)*Z1
PVS(III,8)=PVS(III,8)+(KI4-WI4)*Z2
ENDIF
KI3=WI3
KI4=WI4
130 CONTINUE
KI5=BI5(K)+POP*(BI51(K)+POP*BI52(K))
PBB(2)=PBB(2)+2.0*KI3*Z1
PBB(6)=PBB(6)+2.0*KI4*Z2
PBB(14)=PBB(14)+2.0*KI5*Z3
PBB(26)=PBB(26)+2.0*KI5*(Z1-Z3)
ELSE IF((ISURF.EQ.1).AND.(JSURF.EQ.2)) THEN
Z1=Z1/B
Z2=Z1*COSINU(1,ISURF)
Z3=Z1*COSINU(1,ISURF)*COSINU(1,JSURF)
KI3=ZI30
KI4=ZI40
POP=0.0
DO 150 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+I)
IF(POP.LT.XLIM3) GO TO 140
IF(SIGTI.LE.ZERO) GO TO 160
PVS(III,1)=PVS(III,1)+KI3*Z1
PVS(III,2)=PVS(III,2)+KI4*Z2
GO TO 160
140 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,1)=PVS(III,1)+TABKI(2,POP0)*Z(IZR+I)*Z1
PVS(III,2)=PVS(III,2)+KI3*Z(IZR+I)*Z2
ELSE
PVS(III,1)=PVS(III,1)+(KI3-WI3)*Z1
PVS(III,2)=PVS(III,2)+(KI4-WI4)*Z2
ENDIF
KI3=WI3
KI4=WI4
150 CONTINUE
160 KI3=ZI30
KI4=ZI40
POP=0.0
K=0
DO 180 I=1,NH
III=IZ(IZ0+3+I)-NSURF+1
SIGTI=SIGT(III)
POP0=POP
POP=POP+SIGTI*Z(IZR+NH+1-I)
IF(POP.LT.XLIM3) GO TO 170
IF(SIGTI.LE.ZERO) GO TO 185
PVS(III,1)=PVS(III,1)+KI3*Z1
PVS(III,2)=PVS(III,2)+KI4*Z2
GO TO 185
170 K=NINT(POP*PAS3)
WI3=BI3(K)+POP*(BI31(K)+POP*BI32(K))
WI4=BI4(K)+POP*(BI41(K)+POP*BI42(K))
IF(SIGTI.LE.ZERO) THEN
PVS(III,1)=PVS(III,1)+TABKI(2,POP0)*Z(IZR+NH+1-I)*Z1
PVS(III,2)=PVS(III,2)+KI3*Z(IZR+NH+1-I)*Z2
ELSE
PVS(III,1)=PVS(III,1)+(KI3-WI3)*Z1
PVS(III,2)=PVS(III,2)+(KI4-WI4)*Z2
ENDIF
KI3=WI3
KI4=WI4
180 CONTINUE
KI5=BI5(K)+POP*(BI51(K)+POP*BI52(K))
PBB(4)=PBB(4)+2.0*KI3*Z1
PBB(8)=PBB(8)+2.0*KI4*Z2
PBB(16)=PBB(16)+2.0*KI5*Z3
PBB(28)=PBB(28)+2.0*KI5*(Z1-Z3)
ENDIF
185 IZR=IZR+NH
190 CONTINUE
IZ0=IZ0+NH+4
200 CONTINUE
205 CONTINUE
*----
* APPLY SYMMETRIES
*----
IF(ICARE) THEN
PBB(1)=2.0*PBB(1)
PBB(5)=PBB(5)+PBB(9)
PBB(9)=PBB(5)
PBB(13)=2.0*PBB(13)
PBB(21)=PBB(21)+PBB(23)
PBB(23)=PBB(21)
PBB(4)=PBB(2)
PBB(8)=PBB(6)
PBB(16)=PBB(14)
PBB(28)=PBB(26)
DO 210 I=1,NREG
PVS(I,7)=PVS(I,7)+PVS(I,1)
PVS(I,8)=PVS(I,8)+PVS(I,2)
PVS(I,1)=PVS(I,7)
PVS(I,2)=PVS(I,8)
210 CONTINUE
ENDIF
PBB(10)=PBB(6)
PBB(12)=PBB(8)
PBB(17)=PBB(9)
PBB(19)=PBB(5)
PBB(25)=PBB(13)
PBB(3)=PBB(1)*AOB
PBB(7)=PBB(9)*AOB
PBB(11)=PBB(5)*AOB
PBB(15)=PBB(13)*AOB
PBB(18)=PBB(19)*AOB
PBB(20)=PBB(17)*AOB
PBB(22)=PBB(23)*AOB
PBB(24)=PBB(21)*AOB
PBB(27)=PBB(25)*AOB
*----
* ORTHONORMALIZATION
*----
Z1=Z(1)
Z2=Z(2)
Z3=Z(3)
Z4=Z(4)
DO 280 I=1,4
DEN0=PBB(I)
DEN1=PBB(4+I)
DEN2=PBB(8+I)
PBB(I)=Z1*Z1*DEN0
PBB(4+I)=Z1*(Z2*DEN1-Z3*DEN0)
PBB(8+I)=Z1*(Z2*DEN2-Z3*DEN0)
PBB(12+I)=Z2*Z2*PBB(12+I)-Z2*Z3*(DEN1+DEN2)+Z3*Z3*DEN0
PBB(24+I)=Z4*Z4*PBB(24+I)
280 CONTINUE
DO 290 I=1,2
DEN1=PBB(16+I)
DEN2=PBB(18+I)
PBB(16+I)=Z1*Z4*DEN1
PBB(18+I)=Z1*Z4*DEN2
PBB(20+I)=(Z2*PBB(20+I)-Z3*DEN1)*Z4
PBB(22+I)=(Z2*PBB(22+I)-Z3*DEN2)*Z4
290 CONTINUE
DO 300 J=1,NREG
DEN1=PVS(J,7)
DEN2=PVS(J,1)
PVS(J,7)=Z1*Z1*DEN1
PVS(J,1)=Z1*Z1*DEN2
PVS(J,8)=Z1*(Z2*PVS(J,8)-Z3*DEN1)
PVS(J,2)=Z1*(Z2*PVS(J,2)-Z3*DEN2)
300 CONTINUE
*
Z1=0.0
Z2=0.0
Z4=0.0
Z5=0.0
DO 510 J=1,NREG
X=4.0*VOL(J)
SIGTI=SIGT(J)
IF(SIGTI.GT.ZERO) THEN
Z1=Z1+PVS(J,7)
Z2=Z2+PVS(J,8)
Z4=Z4+PVS(J,1)
Z5=Z5+PVS(J,2)
X=X*SIGTI
ENDIF
PVS(J,7)=PVS(J,7)*A/X
PVS(J,8)=PVS(J,8)*A/X
PVS(J,1)=PVS(J,1)*B/X
PVS(J,2)=PVS(J,2)*B/X
510 CONTINUE
IF((Z1.GT.TRONC).AND.(Z2.GT.TRONC).AND.(Z4.GT.TRONC).AND.(Z5.GT.
1 TRONC)) THEN
Z1=(1.0-2.0*PBB(1)-PBB(2))/Z1
Z2=(-2.0*PBB(9)-PBB(10))/Z2
Z4=(1.0-2.0*PBB(3)-PBB(4))/Z4
Z5=(-2.0*PBB(11)-PBB(12))/Z5
DO 520 J=1,NREG
PVS(J,7)=PVS(J,7)*Z1
PVS(J,8)=PVS(J,8)*Z2
PVS(J,1)=PVS(J,1)*Z4
PVS(J,2)=PVS(J,2)*Z5
520 CONTINUE
ENDIF
*
DO 540 I=1,NREG
PVS(I,4)=PVS(I,1)
PVS(I,5)=PVS(I,2)
PVS(I,10)=PVS(I,7)
PVS(I,11)=PVS(I,8)
540 CONTINUE
DO 560 JC=1,12
DO 550 IC=1,12
IB=ISN(IC,JC)
IF(IB.LT.0) THEN
PSS(IC,JC)=-PBB(-IB)
ELSE IF(IB.GT.0) THEN
PSS(IC,JC)=PBB(IB)
ELSE
PSS(IC,JC)=0.0
ENDIF
CONTINUE
550 CONTINUE
560 CONTINUE
*----
* SCRATCH STORAGE DEALLOCATION
*----
DEALLOCATE(COSINU)
RETURN
END
|
