Three-dimensional preliminary results of the MOOD method: a very high-order finite volume method for conservation laws

The Multi-dimensional Optimal Order Detection (MOOD) method has been designed by authors in [5] and extended in [7] to reach Very-High-Order of accuracy for systems of Conservation Laws in a Finite Volume (FV) framework on 2D unstructured meshes. In this paper we focus on the extension of this metho...

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Bibliographic Details
Main Author: Diot, S. (author)
Other Authors: Clain, Stéphane (author), Loubère, R. (author)
Format: conferencePaper
Language:eng
Published: 2012
Subjects:
Finite volume
Unstructured mesh
MOOD
Euler system
High-order
Hexahedral mesh
Tetrahedral mesh
Advection
Online Access:http://hdl.handle.net/1822/19968
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/19968
Description
Summary:The Multi-dimensional Optimal Order Detection (MOOD) method has been designed by authors in [5] and extended in [7] to reach Very-High-Order of accuracy for systems of Conservation Laws in a Finite Volume (FV) framework on 2D unstructured meshes. In this paper we focus on the extension of this method to 3D unstructured meshes. We present preliminary results for the three-dimensional advection equation which confirm the good behaviour of the MOOD method. More precisely, we show that the scheme yields up to sixth-order accuracy on smooth solutions while preventing oscillations from appearing on discontinuous profiles.

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