OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

On the pathological behavior of upwind schemes

Gressier, Jérémie and Moschetta, Jean-Marc On the pathological behavior of upwind schemes. (1998) In: 36th AIAA Aerospace Sciences Meeting and Exhibit, 06-09 Jan 1998, Reno, United States . (Unpublished)

[img](Document in English)

PDF (Publisher's version) - Depositor and staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
569Kb

Abstract

Despite constant progress in the developement of upwind schemes, some failings still remain. Quirk recently reported that approximate Riemann solvers, which share the exact capture of contact discontinuities, generally suffer from such failings. One of them is the odd-even decoupling that occurs along planar shocks aligned with the mesh. Quirk proposed to test this shortcoming with the propagation of a planar shock in a duct. First, we give a few results on some failings. Then, following Quirk's analysis of Roe's scheme, general criteria are derived to predict the odd-even decoupling. This analysis is applied to Roe's scheme, EFM Pullin's scheme, EIM Macrossan's scheme and AUSM Liou's scheme. Strict stability is shown to be desirable to avoid must of these flaws.

Item Type:Conference or Workshop Item (Paper)
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA
Laboratory name:
Statistics:download
Deposited By:Jeremie Gressier

Repository Staff Only: item control page