TU Darmstadt / ULB / TUbiblio

Fast Iterative Solution of Poisson Equation with Neumann Boundary Conditions in Nonorthogonal Curvilinear Coordinate Systems by a Multiple Grid Method

Rieger, H. and Projahn, U. and Beer, Hans (1983):
Fast Iterative Solution of Poisson Equation with Neumann Boundary Conditions in Nonorthogonal Curvilinear Coordinate Systems by a Multiple Grid Method.
In: Numerical Heat Transfer, 6 (1), pp. 1-15. ISSN 0149-5720,
[Article]

Abstract

A simple multiple grid (MG) technique has been used to solve the linear system of equations arising from the finite-difference discretization of the Neumann problem for elliptic Poisson equations formulated in nonorthogonal curvilinear coordinate systems. Fast, flexible, and simple solution methods for such problems are mandatory when they should act as, for example, pressure solvers in hydrodynamic codes for incompressible fluid flow. The robustness of the solution method chosen can be derived from the fact that only strong nonorthogonal grids have some influence on the asymptotic convergence rate. Problems including patched coordinate systems-for example, with interfaces describing material discontinuities-can also be handled without loss of efficiency.

Item Type: Article
Erschienen: 1983
Creators: Rieger, H. and Projahn, U. and Beer, Hans
Title: Fast Iterative Solution of Poisson Equation with Neumann Boundary Conditions in Nonorthogonal Curvilinear Coordinate Systems by a Multiple Grid Method
Language: English
Abstract:

A simple multiple grid (MG) technique has been used to solve the linear system of equations arising from the finite-difference discretization of the Neumann problem for elliptic Poisson equations formulated in nonorthogonal curvilinear coordinate systems. Fast, flexible, and simple solution methods for such problems are mandatory when they should act as, for example, pressure solvers in hydrodynamic codes for incompressible fluid flow. The robustness of the solution method chosen can be derived from the fact that only strong nonorthogonal grids have some influence on the asymptotic convergence rate. Problems including patched coordinate systems-for example, with interfaces describing material discontinuities-can also be handled without loss of efficiency.

Journal or Publication Title: Numerical Heat Transfer
Journal volume: 6
Number: 1
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Technical Thermodynamics (TTD)
Date Deposited: 26 Feb 2015 13:24
Official URL: http://dx.doi.org/10.1080/01495728308963070
Export:
Suche nach Titel in: TUfind oder in Google
Send an inquiry Send an inquiry

Options (only for editors)
Show editorial Details Show editorial Details