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Title6th-order finite volume approximation for the steady-state burger and euler equations: the mood approach
Author(s)Machado, Gaspar J.
Clain, Stéphane
Loubère, R.
Diot, S.
KeywordsFinite volume
sixth-order approximation
Burgers' equation
Euler's equations
Issue date2015
PublisherAssociação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC)
Abstract(s)We propose an innovative method based on the MOOD technology (Multi-dimensional Optimal Order Detection) to provide a 6th-order finite volume approximation for the one-dimensional steady-state Burger and Euler equations. The main ingredient consists in using an 'a posteriori' limiting strategy to eliminate non physical oscillations deriving from the Gibbs phenomenon while keeping a high accuracy for the smooth part. A short overview of the MOOD method will be presented and numerical tests with regular or discontinuous solutions will assess the method capacity to produce excellent approximations. In the latter situation, the numerical results enable to detect the zone where it is necessary to reduce the degree of the polynomial reconstructions to preserve the scheme robustness.
TypeConference paper
AccessOpen access
Appears in Collections:CMAT - Artigos em atas de conferências e capítulos de livros com arbitragem / Papers in proceedings of conferences and book chapters with peer review

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