RICCHIUTO, Mario; VILLEDIEU, N.; ABGRALL, Remi; DECONINCK, H.

doi:10.1016/j.cam.2006.03.059

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RICCHIUTO, Mario
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]

VILLEDIEU, N.
von Karman Institute for Fluid Dynamics [VKI]

ABGRALL, Remi
Institut de Mathématiques de Bordeaux [IMB]
Algorithms and high performance computing for grand challenge applications [SCALAPPLIX]

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Journal of Computational and Applied Mathematics. 2008, vol. 215, n° 2, p. 547-556

Elsevier

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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.< Leer menos

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residual distribution

very high-order schemes

compact schemes

numerical examples

finite elements

steady advection-diffusion

upwind stabilization

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On uniformly high-order accurate residual distribution schemes for advection-diffusion.

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