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Theses

Schéma d'ordre élevé basé sur le résidu pour la simulation numérique d'écoulements compressibles en maillages non-structurés

Abstract : A very accurate compact residual based scheme (RBC) has been developed in SINUMEF laboratory for numerical simulation of compressible flows on structured grids. Some interesting properties of this scheme makes it a good choice for compressible flow computations. Objective of this thesis is therefore to develop a high-order residual based scheme (RB) on unstructured grids. For this purpose, two approaches have been explored. First one is based on the finite volume method for unstructured grids which gives a residual based scheme named FV-RB. Second approach uses a new spatial discretization method called Spectral Volume method (SV) giving a scheme named SV-RB. The FV-RB scheme is developped to 2nd and 3 rd order. With this version of scheme, many test cases are computed: steady and unsteady, subsonic, transonic and hypersonic, inviscid and laminar flow in 2D and 3D. Analysis on the precision and cost of computation is made for this FV-RB scheme. For the second approach, the 2nd and 3 rd order SV-RB schemes are obtained for solving pure advection problem and Euler equations. Through several test cases, the comparison of accuracy and computation efficiency is made between the RB scheme and a classical Riemann solver, and between two different versions of RB scheme developed in this work.
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https://pastel.archives-ouvertes.fr/pastel-00005803
Contributor : Ecole Arts Et Métiers Paristech <>
Submitted on : Tuesday, February 16, 2010 - 8:00:00 AM
Last modification on : Friday, July 17, 2020 - 2:56:29 PM
Long-term archiving on: : Friday, September 10, 2010 - 3:05:56 PM

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  • HAL Id : pastel-00005803, version 1

Citation

Xi Du. Schéma d'ordre élevé basé sur le résidu pour la simulation numérique d'écoulements compressibles en maillages non-structurés. Sciences de l'ingénieur [physics]. Arts et Métiers ParisTech, 2010. Français. ⟨NNT : 2010ENAM0003⟩. ⟨pastel-00005803⟩

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