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Numerical boundary layers for hyperbolic systems in 1-D

Published online by Cambridge University Press:  15 April 2002

Claire Chainais-Hillairet  and
Emmanuel Grenier
Claire Chainais-Hillairet
Affiliation:
UMPA, ENS-Lyon, 46, allée d'Italie, 69364 Lyon Cedex 07, France.
Emmanuel Grenier
Affiliation:
UMPA, ENS-Lyon, 46, allée d'Italie, 69364 Lyon Cedex 07, France.
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Abstract

The aim of this paper is to investigate the stability of boundary layers which appear in numerical solutions of hyperbolic systems of conservation laws in one space dimension on regular meshes. We prove stability under a size condition for Lax Friedrichs type schemes and inconditionnal stability in the scalar case. Examples of unstable boundary layers are also given.

Keywords

Boundary layers stability.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 35 , Issue 1 , January 2001 , pp. 91 - 106
Copyright
© EDP Sciences, SMAI, 2001

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