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6th-order finite volume approximation for the steady-state burger and euler equations: the mood approach

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Resumo: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.
Autores principais:Machado, Gaspar J.
Outros Autores:Clain, Stéphane; Loubère, R.; Diot, S.
Assunto:Finite volume MOOD sixth-order approximation Burgers' equation Euler's equations Ciências Naturais::Matemáticas
Ano:2015
País:Portugal
Tipo de documento:comunicação em conferência
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho

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