1 files changed, 77 insertions, 0 deletions
diff --git a/Dragon/src/BRESS3.f b/Dragon/src/BRESS3.f
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+      SUBROUTINE BRESS3(ITRIAL,XX,DIFF,SIGR,SIGT,A11)
+*
+*-----------------------------------------------------------------------
+*
+*Purpose:
+* Assembly of leakage system matrices for the nodal expansion method.
+* Include the conservation equation.
+*
+*Copyright:
+* Copyright (C) 2021 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
+* ITRIAL  type of base (=1: polynomial; =2: hyperbolic)
+* XX      mesh width.
+* SIGR    macroscopic removal cross section.
+* SIGT    macroscopic cross section.
+*
+*Parameters: output
+* A11     nodal matrix.
+*
+*-----------------------------------------------------------------------
+*
+*----
+*  SUBROUTINE ARGUMENTS
+*----
+      INTEGER ITRIAL
+      REAL XX,DIFF,SIGR,SIGT,A11(5,5)
+*----
+*  WEIGHT RESIDUAL EQUATIONS
+*----
+      A11(:5,:5)=0.0
+      DX2=XX**2
+      ETA=XX*SQRT(SIGR/DIFF)
+      A11(1,1)=SIGT
+      A11(1,3)=-6.0*DIFF/DX2
+      A11(2,2)=SIGT/12.0
+      A11(3,3)=SIGT/20.0
+      IF(ITRIAL == 1) THEN
+        A11(1,5)=-2.0*DIFF/(5.0*DX2)
+        A11(2,4)=-SIGT/120.0-DIFF/(2.0*DX2)
+        A11(3,5)=-SIGT/700.0-DIFF/(5.0*DX2)
+      ELSE IF(ITRIAL == 2) THEN
+        ALP0=2.0*ETA*SINH(ETA/2.0)
+        ALP1=ETA*COSH(ETA/2.0)-2.0*SINH(ETA/2.0)
+        ALP2=((12.0+ETA**2)*SINH(ETA/2.0)-6.0*ETA*COSH(ETA/2.0))/ETA
+        A11(1,5)=-DIFF*ALP0/DX2
+        A11(2,4)=SIGT*ALP1/(ETA**2)-DIFF*ALP1/DX2
+        A11(3,5)=SIGT*ALP2/(ETA**2)-DIFF*ALP2/DX2
+      ENDIF
+      ! LEFT CURRENT CONDITION
+      A11(4,2)=-DIFF/XX
+      A11(4,3)=3.0*DIFF/XX
+      IF(ITRIAL == 1) THEN
+        A11(4,4)=-DIFF/(2.0*XX)
+        A11(4,5)=DIFF/(5.0*XX)
+      ELSE IF(ITRIAL == 2) THEN
+        A11(4,4)=-(DIFF/XX)*ETA*COSH(ETA/2.0)
+        A11(4,5)=(DIFF/XX)*ETA*SINH(ETA/2.0)
+      ENDIF
+      ! RIGHT CURRENT CONDITION
+      A11(5,2)=-DIFF/XX
+      A11(5,3)=-3.0*DIFF/XX
+      IF(ITRIAL == 1) THEN
+        A11(5,4)=-DIFF/(2.0*XX)
+        A11(5,5)=-DIFF/(5.0*XX)
+      ELSE IF(ITRIAL == 2) THEN
+        A11(5,4)=-(DIFF/XX)*ETA*COSH(ETA/2.0)
+        A11(5,5)=-(DIFF/XX)*ETA*SINH(ETA/2.0)
+      ENDIF
+      RETURN
+      END