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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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