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Finite element solution of Navier Stokes equations adapted to a priori error estimates

Burda, P and Novotný, J and Šístek, J (2006) Finite element solution of Navier Stokes equations adapted to a priori error estimates. WSEAS Transactions on Mathematics, 5. pp. 188-195. ISSN 1109-2769

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Abstract

The paper is based on qualitative properties of the solution of the Navier-Stokes equations for incompressible fluid, and on properties of their finite element solution. In problems with corner-like singularities (e.g. on the well-known L-shaped domain) usually some adaptive strategy is used. In this paper we present an alternative approach. For flow problems on domains with corner singularities we use the a priori error estimates and asymptotic expansion of the solution to derive an algorithm for refining the mesh near the corner. It gives very precise solution in a cheap way. We present some numerical results.

Item Type: Article
Uncontrolled Keywords: A priori error estimates Asymptotic expansion Finite element method Incompressible fluid Navier-Stokes equations Refinement Singularity
Subjects: UNSPECIFIED
Divisions: Div D > Structures
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 12:36
Last Modified: 28 Nov 2014 19:06
DOI: