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Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes
Abstract : In this paper we consider the very high order approximation of solutions of the Euler equations. We present a systematic generalization of the Residual Distribution method of \cite{ENORD} to very high order of accuracy, by extending the preliminary work discussed in \cite{abgrallLarat} to systems and hybrid meshes. We present extensive numerical validation for the third and fourth order cases with Lagrange finite elements. In particular, we demonstrate that we an both have a non oscillatory behavior, even for very strong shocks and complex flow patterns, and the expected accuracy on smooth problems.
Cited literature [1 references]
https://hal.inria.fr/inria-00464799
Contributor : Rémi Abgrall Connect in order to contact the contributor
Submitted on : Thursday, March 18, 2010 - 8:50:32 AM
Last modification on : Sunday, April 24, 2022 - 12:20:01 PM
Long-term archiving on: : Tuesday, June 22, 2010 - 10:17:38 AM
Contributor : Rémi Abgrall Connect in order to contact the contributor
Submitted on : Thursday, March 18, 2010 - 8:50:32 AM
Last modification on : Sunday, April 24, 2022 - 12:20:01 PM
Long-term archiving on: : Tuesday, June 22, 2010 - 10:17:38 AM
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RR-7236.pdf
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