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Stable artificial dissipation operators for finite volume schemes on unstructured grids

Svärd, Magnus ; Gong, Jing ; Nordström, Jan

Applied Numerical Mathematics, 2006, Vol.56(12), pp.1481-1490 [Periódico revisado por pares]

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Título:
Stable artificial dissipation operators for finite volume schemes on unstructured grids
Autor: Svärd, Magnus ; Gong, Jing ; Nordström, Jan
Assuntos: Finite Volume Schemes ; Unstructured Grids ; Artificial Dissipation ; Stability ; Applied Sciences
É parte de: Applied Numerical Mathematics, 2006, Vol.56(12), pp.1481-1490
Descrição: 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.
Idioma: Inglês

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