High-order residual distribution schemes on quadrilateral meshes.

N. Villedieu; T. Quintino; Remi Abgrall; H. Deconinck

inria-00403706, version 1

High-order residual distribution schemes on quadrilateral meshes.

N. Villedieu ¹, T. Quintino ¹, Remi Abgrall () ^2, 3, H. Deconinck ¹

International Journal of numerical methods in fluids 56, 8 (2008) 1559-1566

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.

1: von Karman Institute for Fluid Dynamics (VKI)
NATO
2: SCALAPPLIX (INRIA Bordeaux - Sud-Ouest)
INRIA – CNRS : UMR5466 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB)
3: Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II

inria-00403706, version 1
http://hal.inria.fr/inria-00403706
oai:hal.inria.fr:inria-00403706
From: Rémi Abgrall <>
Submitted on: Sunday, 12 July 2009 22:55:58
Updated on: Monday, 13 July 2009 11:18:05

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DOI: 10.1002/fld.1690

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