On uniformly high-order accurate residual distribution schemes for advection-diffusion.
RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
ABGRALL, Remi
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
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Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
ABGRALL, Remi
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
< Réduire
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]
Langue
en
Article de revue
Ce document a été publié dans
Journal of Computational and Applied Mathematics. 2008, vol. 215, n° 2, p. 547-556
Elsevier
Résumé en anglais
We discuss preliminary results on the construction of uniformly high-order residual distribution $(\cal RD)$ type discretizations for steady advection-diffusion on unstructured grids. A properly designed scaling of the ...Lire la suite >
We discuss preliminary results on the construction of uniformly high-order residual distribution $(\cal RD)$ type discretizations for steady advection-diffusion on unstructured grids. A properly designed scaling of the $(\cal RD)$ upwind stabilization with the physical viscosity allows to obtain schemes with uniform and arbitrary accuracy, on a very compact stencil. Second- and third-order examples are given to illustrate the potential of the approach.< Réduire
Mots clés en anglais
residual distribution
very high-order schemes
compact schemes
numerical examples
finite elements
steady advection-diffusion
upwind stabilization
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