Stable and accurate artificial dissipation

Ken Mattsson; Magnus Svärd; Jan Nordström

doi:10.1023/B:JOMP.0000027955.75872.3f

Stable and accurate artificial dissipation

Ken Mattsson, Magnus Svärd, Jan Nordström

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

156 Citations (Scopus)

Abstract

Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.

Original language	English
Pages (from-to)	57-79
Number of pages	23
Journal	Journal of Scientific Computing
Volume	21
Issue number	1
DOIs	https://doi.org/10.1023/B:JOMP.0000027955.75872.3f
Publication status	Published - Aug 2004
Externally published	Yes

Keywords

Artificial dissipation
High order finite difference methods
Numerical stability

ASJC Scopus subject areas

Software
Theoretical Computer Science
Numerical Analysis
General Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1023/B:JOMP.0000027955.75872.3f

Cite this

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title = "Stable and accurate artificial dissipation",

abstract = "Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.",

keywords = "Artificial dissipation, High order finite difference methods, Numerical stability",

author = "Ken Mattsson and Magnus Sv{\"a}rd and Jan Nordstr{\"o}m",

year = "2004",

month = aug,

doi = "10.1023/B:JOMP.0000027955.75872.3f",

language = "English",

volume = "21",

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journal = "Journal of Scientific Computing",

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T1 - Stable and accurate artificial dissipation

AU - Mattsson, Ken

AU - Svärd, Magnus

AU - Nordström, Jan

PY - 2004/8

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AB - Stability for nonlinear convection problems using centered difference schemes require the addition of artificial dissipation. In this paper we present dissipation operators that preserve both stability and accuracy for high order finite difference approximations of initial boundary value problems.

KW - Artificial dissipation

KW - High order finite difference methods

KW - Numerical stability

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DO - 10.1023/B:JOMP.0000027955.75872.3f

M3 - Article

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SN - 0885-7474

VL - 21

SP - 57

EP - 79

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 1

ER -

Stable and accurate artificial dissipation

Abstract

Keywords

ASJC Scopus subject areas

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