A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations

E Vainikko, I G Graham

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The DOUG (domain decomposition on unstructured grids) package was first developed from 1996-1998 as a parallel solver for scalar elliptic PDEs discretised with finite elements. In this paper we describe its extension to unsymmetric elliptic systems of PDEs, highlighting software design and parallelisation issues. As an application we discuss the performance of the extended package applied to the incompressible Navier-Stokes equations, discretised with mixed finite elements. In particular we focus on discontinuous pressure elements, which are important in many practical applications. We also indicate briefly the application of this solver to Navier-Stokes stability assessment. (C) 2003 IMACS. Published by Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)97-116
Number of pages20
JournalApplied Numerical Mathematics
Volume49
Issue number1
DOIs
Publication statusPublished - 2004

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Incompressible Navier-Stokes Equations
Navier Stokes equations
Elliptic PDE
Unstructured Grid
Software Design
Mixed Finite Elements
Elliptic Systems
Software design
Domain Decomposition
Navier-Stokes
Parallelization
Scalar
Finite Element
Decomposition

Cite this

A parallel solver for PDE systems and application to the incompressible Navier-Stokes equations. / Vainikko, E; Graham, I G.

In: Applied Numerical Mathematics, Vol. 49, No. 1, 2004, p. 97-116.

Research output: Contribution to journalArticle

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