Stable artificial dissipation operators for finite volume schemes on unstructured grids

Magnus Svärd; Jing Gong; Jan Nordström

doi:10.1016/j.apnum.2005.11.002

Stable artificial dissipation operators for finite volume schemes on unstructured grids

Magnus Svärd, Jing Gong, Jan Nordström

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

21 Citations (Scopus)

Abstract

Our objective is to derive stable first-, second- and fourth-order artificial dissipation operators for node based finite volume schemes. Of particular interest are general unstructured grids where the strength of the finite volume method is fully utilised. A commonly used finite volume approximation of the Laplacian will be the basis in the construction of the artificial dissipation. Both a homogeneous dissipation acting in all directions with equal strength and a modification that allows different amount of dissipation in different directions are derived. Stability and accuracy of the new operators are proved and the theoretical results are supported by numerical computations.

Original language	English
Pages (from-to)	1481-1490
Number of pages	10
Journal	Applied Numerical Mathematics
Volume	56
Issue number	12
DOIs	https://doi.org/10.1016/j.apnum.2005.11.002
Publication status	Published - Dec 2006
Externally published	Yes

Keywords

Artificial dissipation
Finite volume schemes
Stability
Unstructured grids

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1016/j.apnum.2005.11.002

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abstract = "Our objective is to derive stable first-, second- and fourth-order artificial dissipation operators for node based finite volume schemes. Of particular interest are general unstructured grids where the strength of the finite volume method is fully utilised. A commonly used finite volume approximation of the Laplacian will be the basis in the construction of the artificial dissipation. Both a homogeneous dissipation acting in all directions with equal strength and a modification that allows different amount of dissipation in different directions are derived. Stability and accuracy of the new operators are proved and the theoretical results are supported by numerical computations.",

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AU - Svärd, Magnus

AU - Gong, Jing

AU - Nordström, Jan

PY - 2006/12

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N2 - Our objective is to derive stable first-, second- and fourth-order artificial dissipation operators for node based finite volume schemes. Of particular interest are general unstructured grids where the strength of the finite volume method is fully utilised. A commonly used finite volume approximation of the Laplacian will be the basis in the construction of the artificial dissipation. Both a homogeneous dissipation acting in all directions with equal strength and a modification that allows different amount of dissipation in different directions are derived. Stability and accuracy of the new operators are proved and the theoretical results are supported by numerical computations.

AB - Our objective is to derive stable first-, second- and fourth-order artificial dissipation operators for node based finite volume schemes. Of particular interest are general unstructured grids where the strength of the finite volume method is fully utilised. A commonly used finite volume approximation of the Laplacian will be the basis in the construction of the artificial dissipation. Both a homogeneous dissipation acting in all directions with equal strength and a modification that allows different amount of dissipation in different directions are derived. Stability and accuracy of the new operators are proved and the theoretical results are supported by numerical computations.

KW - Artificial dissipation

KW - Finite volume schemes

KW - Stability

KW - Unstructured grids

UR - https://www.scopus.com/pages/publications/33748414753

U2 - 10.1016/j.apnum.2005.11.002

DO - 10.1016/j.apnum.2005.11.002

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JF - Applied Numerical Mathematics

IS - 12

ER -

Stable artificial dissipation operators for finite volume schemes on unstructured grids

Abstract

Keywords

ASJC Scopus subject areas

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