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SUBROUTINE BRESS4(ITRIAL,XX,DIFF,SIGR,SIGT,B11)
*
*-----------------------------------------------------------------------
*
*Purpose:
* Assembly of non-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.
* DIFF diffusion coefficient.
* SIGR macroscopic removal cross section.
* SIGT macroscopic cross section.
*
*Parameters: output
* B11 nodal matrix.
*
*-----------------------------------------------------------------------
*
*----
* SUBROUTINE ARGUMENTS
*----
INTEGER ITRIAL
REAL XX,DIFF,SIGR,SIGT,B11(5,5)
*----
* WEIGHT RESIDUAL EQUATIONS
*----
B11(:5,:5)=0.0
ETA=XX*SQRT(SIGR/DIFF)
B11(1,1)=SIGT
B11(2,2)=SIGT/12.0
B11(3,3)=SIGT/20.0
IF(ITRIAL == 1) THEN
B11(2,4)=-SIGT/120.0
B11(3,5)=-SIGT/700.0
ELSE IF(ITRIAL == 2) THEN
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
B11(2,4)=SIGT*ALP1/(ETA**2)
B11(3,5)=SIGT*ALP2/(ETA**2)
ENDIF
RETURN
END
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