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Journal of Computational and Applied Mathematics 215 (2008) 547556 www.elsevier.com/locate/cam

Summary: Journal of Computational and Applied Mathematics 215 (2008) 547­556
On uniformly high-order accurate residual distribution schemes for
M. Ricchiutoa,
, N. Villedieuc
, R. Abgralla,b
, H. Deconinckc
aINRIA Futurs, project ScAlApplix and Mathématiques Appliquées de Bordeaux, Université de Bordeaux I,
351 cours de la Libération, 33405 Talence cedex, France
bInstitut Universitaire de France, France
cDepartment of Aeronautics and aerospace, von Karman Institute for Fluid Dynamics, Chaussée de Waterloo 72,
B-1640 Rhode-Saint-Genèse, Belgium
Received 17 July 2005
We discuss preliminary results on the construction of uniformly high-order residual distribution (RD) type discretizations for
steady advection­diffusion on unstructured grids. A properly designed scaling of the 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.
© 2007 Elsevier B.V. All rights reserved.


Source: Abgrall, Rémi - Institut de Mathematiques de Bordeaux, Université Bordeaux


Collections: Mathematics