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Diffstat (limited to 'Trivac/src/PNMAR2.f')
| -rwxr-xr-x | Trivac/src/PNMAR2.f | 118 |
1 files changed, 118 insertions, 0 deletions
diff --git a/Trivac/src/PNMAR2.f b/Trivac/src/PNMAR2.f new file mode 100755 index 0000000..e874d63 --- /dev/null +++ b/Trivac/src/PNMAR2.f @@ -0,0 +1,118 @@ +*DECK PNMAR2 + FUNCTION PNMAR2(NGPT,L1,L2) +* +*----------------------------------------------------------------------- +* +*Purpose: +* Return the dual Marshak boundary coefficients in plane geometry. +* These coefficients are specific to the left boundary. +* +*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 +* NGPT number of Gauss-Legendre base points for the integration of +* the direction cosine. Set to 65 for exact integration. +* L1 first Legendre order (even number in mixed dual cases). +* L2 second Legendre order (odd number in mixed dual cases). + +*Parameters: output +* PNMAR2 Marshak coefficient. +* +*----------------------------------------------------------------------- +* +*---- +* SUBROUTINE ARGUMENTS +*---- + INTEGER NGPT,L1,L2 + REAL PNMAR2 +*---- +* LOCAL VARIABLES +*---- + PARAMETER(MAXGPT=64) + REAL ZGKSI(MAXGPT),WGKSI(MAXGPT) + DOUBLE PRECISION SUM,PNL1,PNL2,P1,P2 +* + IF(MOD(L1,2).EQ.0) THEN + CALL XABORT('PNMAR2: ODD FIRST INDEX EXPECTED.') + ENDIF + PNL1=0.0D0 + PNL2=0.0D0 + IF(NGPT.LE.64) THEN +* USE A GAUSS-LEGENDRE QUADRATURE. + CALL ALGPT(NGPT,-1.0,1.0,ZGKSI,WGKSI) + SUM=0.0 + DO 30 I=NGPT/2+1,NGPT + P1=1.0D0 + P2=ZGKSI(I) + IF(L1.EQ.0) THEN + PNL1=1.0D0 + ELSE IF(L1.EQ.1) THEN + PNL1=P2 + ELSE + DO 10 LL=2,L1 + PNL1=(ZGKSI(I)*REAL(2*LL-1)*P2-REAL(LL-1)*P1)/REAL(LL) + P1=P2 + P2=PNL1 + 10 CONTINUE + ENDIF + P1=1.0D0 + P2=ZGKSI(I) + IF(L2.EQ.0) THEN + PNL2=1.0D0 + ELSE IF(L2.EQ.1) THEN + PNL2=P2 + ELSE + DO 20 LL=2,L2 + PNL2=(ZGKSI(I)*REAL(2*LL-1)*P2-REAL(LL-1)*P1)/REAL(LL) + P1=P2 + P2=PNL2 + 20 CONTINUE + ENDIF + SUM=SUM+WGKSI(I)*ZGKSI(I)*(PNL1*PNL2) + 30 CONTINUE + PNMAR2=REAL(SUM*REAL(2*L1+1)) + ELSE +* USE EXACT INTEGRATION. + NGPTE=16 + CALL ALGPT(NGPTE,0.0,1.0,ZGKSI,WGKSI) + SUM=0.0D0 + DO 60 I=1,NGPTE + P1=1.0D0 + P2=ZGKSI(I) + IF(L1.EQ.0) THEN + PNL1=1.0D0 + ELSE IF(L1.EQ.1) THEN + PNL1=P2 + ELSE + DO 40 LL=2,L1 + PNL1=(ZGKSI(I)*REAL(2*LL-1)*P2-REAL(LL-1)*P1)/REAL(LL) + P1=P2 + P2=PNL1 + 40 CONTINUE + ENDIF + P1=1.0D0 + P2=ZGKSI(I) + IF(L2.EQ.0) THEN + PNL2=1.0D0 + ELSE IF(L2.EQ.1) THEN + PNL2=P2 + ELSE + DO 50 LL=2,L2 + PNL2=(ZGKSI(I)*REAL(2*LL-1)*P2-REAL(LL-1)*P1)/REAL(LL) + P1=P2 + P2=PNL2 + 50 CONTINUE + ENDIF + SUM=SUM+WGKSI(I)*ZGKSI(I)*(PNL1*PNL2) + 60 CONTINUE + PNMAR2=REAL(SUM*REAL(2*L1+1)) + ENDIF + RETURN + END |
