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A direct method for the solution of poisson's equation with neumann boundary conditions on a staggered grid of arbitrary size

Schumann, U. and Sweet, R.A. (1976) A direct method for the solution of poisson's equation with neumann boundary conditions on a staggered grid of arbitrary size. Journal of Computational Physics, 20, pp. 171-182. DOI: 10.1016/0021-9991(76)90062-0.

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Official URL: http://www.elsevier.com/wps/find/journaldescription.cws_home/622866/description#description

Abstract

A method based on cyclic reduction is described for the solution of the discrete Poisson equation on a rectangular two-dimensional staggered grid with an arbitrary number of grid points in each direction. Neumann boundary conditions are assumed in one direction and any boundary condition may be used in the other direction. The coefficients of the equation can be functions of the latter direction so that, e.g., non-equidistant grid spacings or non-Cartesian coordinates can be used. Poisson's equation with these boundary conditions describes, e.g., the pressure field of an incompressible fluid flow within rigid boundaries. Numerical results are reported for a FORTRAN subroutine using the method. For an M × N grid the operation count is proportional to MN log<sub>2</sub> N, and about MN storage locations are required.

Document Type:Article
Title:A direct method for the solution of poisson's equation with neumann boundary conditions on a staggered grid of arbitrary size
Authors:
AuthorsInstitution or Email of Authors
Schumann, U.KFZ Karlsruhe
Sweet, R.A.NCAR, Boulder, CO, USA
Date:1976
Journal or Publication Title:Journal of Computational Physics
Volume:20
DOI:10.1016/0021-9991(76)90062-0
Page Range:pp. 171-182
Status:Published
Keywords:cyclic reduction, Poisson equation
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignement
DLR - Program:no assignment
DLR - Research theme (Project):other
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Atmospheric Physics
Deposited By: Jana Freund
Deposited On:18 Nov 2008
Last Modified:12 Dec 2013 20:30

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