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80 lines
2.5 KiB
80 lines
2.5 KiB
C Copyright(C) 1999-2020 National Technology & Engineering Solutions
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C of Sandia, LLC (NTESS). Under the terms of Contract DE-NA0003525 with
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C NTESS, the U.S. Government retains certain rights in this software.
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C
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C See packages/seacas/LICENSE for details
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C=======================================================================
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SUBROUTINE GAUSSF (IS3DIM, NLNKF, LINKF1, XN, YN, ZN,
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& XGAUSS, YGAUSS, ZGAUSS)
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C=======================================================================
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C --*** GAUSSF *** (DETOUR) Calculate gauss point for a face
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C -- Written by Amy Gilkey - revised 10/20/87
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C --
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C --GAUSSF calculates the 4 element gauss points given the coordinates
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C --of the 4 nodes.
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C --
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C --Parameters:
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C -- IS3DIM - IN - true iff 3D versus 2D
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C -- NLNKF - IN - the number of nodes per face; must be 4
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C -- LINKF1 - IN - the connectivity for the face
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C -- XN, YN, ZN - IN - the nodal coordinates
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C -- XGAUSS, YGAUSS, ZGAUSS - OUT - the gauss point coordinates
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PARAMETER (S = .577350269189626)
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LOGICAL IS3DIM
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INTEGER LINKF1(NLNKF)
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REAL XN(*), YN(*), ZN(*)
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REAL XGAUSS(4), YGAUSS(4), ZGAUSS(4)
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REAL WT(4,4)
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LOGICAL FIRST
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SAVE FIRST, WT
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C --FIRST - true iff first time in routine
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C --WT - the gauss point constants
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DATA FIRST /.TRUE./
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IF (FIRST) THEN
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FIRST = .FALSE.
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C --Determine gauss point constants
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DO 100 N = 1, 4
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IF (N .EQ. 1) THEN
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SI = -S
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TI = -S
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ELSE IF (N .EQ. 2) THEN
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SI = +S
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TI = -S
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ELSE IF (N .EQ. 3) THEN
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SI = +S
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TI = +S
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ELSE IF (N .EQ. 4) THEN
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SI = -S
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TI = +S
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END IF
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WT(1,N) = .25 * (1-SI) * (1-TI)
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WT(2,N) = .25 * (1+SI) * (1-TI)
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WT(3,N) = .25 * (1+SI) * (1+TI)
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WT(4,N) = .25 * (1-SI) * (1+TI)
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100 CONTINUE
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END IF
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C --Determine gauss point coordinates
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DO 110 N = 1, 4
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XGAUSS(N) = WT(1,N)*XN(LINKF1(1)) + WT(2,N)*XN(LINKF1(2))
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& + WT(3,N)*XN(LINKF1(3)) + WT(4,N)*XN(LINKF1(4))
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YGAUSS(N) = WT(1,N)*YN(LINKF1(1)) + WT(2,N)*YN(LINKF1(2))
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& + WT(3,N)*YN(LINKF1(3)) + WT(4,N)*YN(LINKF1(4))
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IF (IS3DIM) THEN
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ZGAUSS(N) = WT(1,N)*ZN(LINKF1(1)) + WT(2,N)*ZN(LINKF1(2))
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& + WT(3,N)*ZN(LINKF1(3)) + WT(4,N)*ZN(LINKF1(4))
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END IF
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110 CONTINUE
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RETURN
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END
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