The Mathematical Institute, University of Oxford, Eprints Archive

Iterative Methods for Problems in Computational Fluid Dynamics

Elman, Howard C. and Silvester, David and Wathen, A. J. (1996) Iterative Methods for Problems in Computational Fluid Dynamics. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1321
Deposited By:Lotti Ekert
Deposited On:12 Jun 2011 09:50
Last Modified:12 Jun 2011 09:50

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