Université Bordeaux Segalen - Bordeaux 2, Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : This article deals with the latest development in the construction of monotone high-order residual distribution schemes (RDS) on quadrilateral meshes. In the first part we give some generalities about the way upwind high-order RDS is designed. In the second part, some standard schemes are described. Then, the design of a stabilization to help the convergence is shown. The last part of this article is dedicated to the results obtained with these schemes.
N. Villedieu, T. Quintino, Remi Abgrall, H. Deconinck. High-order residual distribution schemes on quadrilateral meshes.. International Journal for Numerical Methods in Fluids, Wiley, 2008, 56 (8), pp.1559-1566. ⟨10.1002/fld.1690⟩. ⟨inria-00403706⟩