Numerical boundary layers for hyperbolic systems in 1-D

Authors
Chainais-Hillairet, C Grenier, E
Citation
C. Chainais-hillairet et E. Grenier, Numerical boundary layers for hyperbolic systems in 1-D, ESAIM-M MOD, 35(1), 2001, pp. 91-106
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
35
Issue
1
Year of publication
2001
Pages
91 - 106
Database
ISI
SICI code
0764-583X(200101/02)35:1<91:NBLFHS>2.0.ZU;2-B
Abstract
The aim of this paper is to investigate the stability of boundary layers wh ich appear in numerical solutions of hyperbolic systems of conservation law s 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.