?? lcdbas.f90
字號:
#include <misc.h>#include <params.h>subroutine lcdbas(grd ,dbas2 ,dbas3 )!----------------------------------------------------------------------- ! ! Purpose: ! Calculate weights used to evaluate derivative estimates at the! inner grid points of a four point stencil based on Lagrange! cubic polynomial through four unequally spaced points.! ! Method: ! ! Author: J. Olson! !-----------------------------------------------------------------------!! $Id: lcdbas.F90,v 1.1 2001/11/06 18:42:49 erik Exp $! $Author: erik $!!----------------------------------------------------------------------- use precision implicit none!------------------------------Arguments-------------------------------- real(r8), intent(in) :: grd(4) ! grid stencil real(r8), intent(out):: dbas2(4) ! derivatives at grid point 2. real(r8), intent(out):: dbas3(4) ! derivatives at grid point 3.!! grd Coordinate values of four points in stencil.! dbas2 Derivatives of the four basis functions at grid point 2.! dbas3 Derivatives of the four basis functions at grid point 3.!-----------------------------------------------------------------------!---------------------------Local variables----------------------------- real(r8) x1 ! | real(r8) x2 ! |- grid values real(r8) x3 ! | real(r8) x4 ! | real(r8) x1mx2 ! | real(r8) x1mx3 ! | real(r8) x1mx4 ! |- differences of grid values real(r8) x2mx3 ! | real(r8) x2mx4 ! | real(r8) x3mx4 ! |!-----------------------------------------------------------------------! x1 = grd(1) x2 = grd(2) x3 = grd(3) x4 = grd(4) x1mx2 = x1 - x2 x1mx3 = x1 - x3 x1mx4 = x1 - x4 x2mx3 = x2 - x3 x2mx4 = x2 - x4 x3mx4 = x3 - x4 dbas2(1) = x2mx3 * x2mx4 / ( x1mx2 * x1mx3 * x1mx4 ) dbas2(2) = -1./x1mx2 + 1./x2mx3 + 1./x2mx4 dbas2(3) = - x1mx2 * x2mx4 / ( x1mx3 * x2mx3 * x3mx4 ) dbas2(4) = x1mx2 * x2mx3 / ( x1mx4 * x2mx4 * x3mx4 ) dbas3(1) = - x2mx3 * x3mx4 / ( x1mx2 * x1mx3 * x1mx4 ) dbas3(2) = x1mx3 * x3mx4 / ( x1mx2 * x2mx3 * x2mx4 ) dbas3(3) = -1./x1mx3 - 1./x2mx3 + 1./x3mx4 dbas3(4) = - x1mx3 * x2mx3 / ( x1mx4 * x2mx4 * x3mx4 ) returnend subroutine lcdbas
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