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Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes

Remi Abgrall 1, 2 Adam Larat 1, 2, 3 Mario Ricchiuto 1, 2 
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 (Abgrall, J.ComputPhys 2006) to very high order of accuracy, by extending the preliminary work discussed in (Abgrall, Larat, Ricchiuto, Tave, Computers and Fluids 2009) 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 both have a non-oscillatory behavior, even for very strong shocks and complex flow patterns, and the expected accuracy on smooth problems.
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https://hal.inria.fr/hal-00652412
Contributor : Mario Ricchiuto Connect in order to contact the contributor
Submitted on : Thursday, December 15, 2011 - 3:17:47 PM
Last modification on : Friday, November 18, 2022 - 9:26:40 AM

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Remi Abgrall, Adam Larat, Mario Ricchiuto. Construction of very high order residual distribution schemes for steady inviscid flow problems on hybrid unstructured meshes. Journal of Computational Physics, 2011, 230 (11), pp.4103-4136. ⟨10.1016/j.jcp.2010.07.035⟩. ⟨hal-00652412⟩

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