Numerical boundary layers for hyperbolic systems in 1-D

Claire Chainais-Hillairet; Emmanuel Grenier

doi:10.1051/m2an:2001100

Numerical boundary layers for hyperbolic systems in 1-D

Claire Chainais-Hillairet^*, Emmanuel Grenier

^*Corresponding author for this work

Unité de Mathématiques Pures et Appliquées de l'ENS de Lyon

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	91-106
Number of pages	16
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	35
Issue number	1
DOIs	https://doi.org/10.1051/m2an:2001100
Publication status	Published - Jan 2001
Externally published	Yes

Keywords

Boundary layers stability

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10.1051/m2an:2001100

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title = "Numerical boundary layers for hyperbolic systems in 1-D",

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author = "Claire Chainais-Hillairet and Emmanuel Grenier",

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AU - Grenier, Emmanuel

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AB - 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.

KW - Boundary layers stability

UR - https://www.scopus.com/pages/publications/0035606913

U2 - 10.1051/m2an:2001100

DO - 10.1051/m2an:2001100

M3 - Article

AN - SCOPUS:0035606913

SN - 2822-7840

VL - 35

SP - 91

EP - 106

JO - ESAIM: Mathematical Modelling and Numerical Analysis

JF - ESAIM: Mathematical Modelling and Numerical Analysis

IS - 1

ER -

Numerical boundary layers for hyperbolic systems in 1-D

Abstract

Keywords

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