Iterative Methods for Problems in Computational Fluid Dynamics

Loading...
Thumbnail Image

Files

CS-TR-3675.ps (720.1 KB)
No. of downloads: 329
CS-TR-3675.pdf (565 KB)
No. of downloads: 1819

Publication or External Link

Date

1998-10-15

Advisor

Citation

DRUM DOI

Abstract

We discuss iterative methods for solving the algebraic systems of equations arising from linearization and discretization of primitive variable formulations of the incompressible Navier-Stokes equations. Implicit discretization in time leads to a coupled but linear system of partial differential equations at each time step, and discretization in space then produces a series of linear algebraic systems. We give an overview of commonly used time and space discretization techniques,and we discuss a variety of algorithmic strategies for solving the resulting systems of equations.The emphasis is on preconditioning techniques, which can be combined with Krylov subspace iterative methods.In many cases the solution of
subsidiary problems such as the discrete convection-diffusion equation and the discrete Stokes equations plays a crucial role. We examine iterative techniques for these problems and show how they can be integrated into effective solution algorithms for the Navier-Stokes equations. (Also cross-referenced as UMIACS-TR-96-58)

Notes

Rights