Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/34870

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
MOOD
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
URIhttp://hdl.handle.net/1822/34870
Peer-Reviewedyes
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

Files in This Item:
File Description SizeFormat 
MCLD-SYMCOMP2015.pdf983,96 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID