A Fast Preconditioned Iterative Solver for Unsteady Incompressible Flow Problems

Author

Jia Liu ; Lina Wu

Author_Institution

Dept. of Math. & Stat., Univ. of West Florida, Pensacola, FL, USA

fYear

2013

fDate

21-23 June 2013

Firstpage

910

Lastpage

913

Abstract

This paper is concerned with the solution of unsteady incompressible flow problems using Marker and Cell finite difference discretizations and preconditioned Krylov subspace methods. Our emphasis is on the preconditioner that can be thought of a new splitting of the discretized equations. The preconditioner we focus on is the variation from the Hermitian and Skew-Hermitian (HSS) Splitting preconditioner. Such an preconditioner for the unsteady Oseen (linearized Navier -- Stokes) problems in two or three dimensions are described and experimentally compared.

Keywords

Navier-Stokes equations; computational fluid dynamics; finite difference methods; flow instability; iterative methods; Krylov subspace methods; cell finite difference discretization; discretized equation splitting; fast preconditioned iterative solver; linearized Navier-Stokes problem; marker finite difference discretization; skew-Hermitian splitting preconditioner; unsteady Oseen problem; unsteady incompressible flow problems; unsteady incompressible flow solution; Convergence; Educational institutions; Equations; Linear systems; Mathematical model; Sparse matrices; Viscosity; fluid dynamics; iterative methods; precondiitoning;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on

Conference_Location

Shiyang

Type

conf

DOI

10.1109/ICCIS.2013.244

Filename

6643160