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Article Dans Une Revue Journal of Computational and Applied Mathematics Année : 2008

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

Résumé

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.

Dates et versions

inria-00403700 , version 1 (12-07-2009)

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Citer

Mario Ricchiuto, N. Villedieu, Remi Abgrall, H. Deconinck. On uniformly high-order accurate residual distribution schemes for advection-diffusion.. Journal of Computational and Applied Mathematics, 2008, 215 (2), pp.547-556. ⟨10.1016/j.cam.2006.03.059⟩. ⟨inria-00403700⟩
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