A modified structured central scheme for 2D hyperbolic conservation laws

T. Katsaounis; D. Levy

doi:10.1016/S0893-9659(99)00084-1

A modified structured central scheme for 2D hyperbolic conservation laws

T. Katsaounis^*, D. Levy

^*Corresponding author for this work

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

6 Scopus citations

Abstract

We present a new central scheme for approximating solutions of two-dimensional systems of hyperbolic conservation laws. This method is based on a modification of the staggered grid proposed in [1] which prevents the crossings of discontinuities in the normal direction, while retaining the simplicity of the central framework. Our method satisfies a local maximum principle which is based on a more compact stencil. Unlike the previous method, it enables a natural extension to adaptive methods on structured grids.

Original language	English (US)
Pages (from-to)	89-96
Number of pages	8
Journal	Applied Mathematics Letters
Volume	12
Issue number	6
DOIs	https://doi.org/10.1016/S0893-9659(99)00084-1
State	Published - Aug 1999
Externally published	Yes

Keywords

Adaptive methods
Central difference schemes
Hyperbolic conservation laws
Nonoscillatory schemes

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(99)00084-1

Cite this

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abstract = "We present a new central scheme for approximating solutions of two-dimensional systems of hyperbolic conservation laws. This method is based on a modification of the staggered grid proposed in [1] which prevents the crossings of discontinuities in the normal direction, while retaining the simplicity of the central framework. Our method satisfies a local maximum principle which is based on a more compact stencil. Unlike the previous method, it enables a natural extension to adaptive methods on structured grids.",

keywords = "Adaptive methods, Central difference schemes, Hyperbolic conservation laws, Nonoscillatory schemes",

author = "T. Katsaounis and D. Levy",

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AU - Levy, D.

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AB - We present a new central scheme for approximating solutions of two-dimensional systems of hyperbolic conservation laws. This method is based on a modification of the staggered grid proposed in [1] which prevents the crossings of discontinuities in the normal direction, while retaining the simplicity of the central framework. Our method satisfies a local maximum principle which is based on a more compact stencil. Unlike the previous method, it enables a natural extension to adaptive methods on structured grids.

KW - Adaptive methods

KW - Central difference schemes

KW - Hyperbolic conservation laws

KW - Nonoscillatory schemes

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U2 - 10.1016/S0893-9659(99)00084-1

DO - 10.1016/S0893-9659(99)00084-1

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SP - 89

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

A modified structured central scheme for 2D hyperbolic conservation laws

Abstract

Keywords

ASJC Scopus subject areas

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