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Article Dans Une Revue Journal of Computational Physics Année : 2011

A third-order finite-volume residual-based scheme for the 2D Euler equations on unstructured grids

Résumé

A residual-based (RB) scheme relies on the vanishing of residual at the steady-state to design a transient first-order dissipation, which becomes high-order at steady-state. Initially designed within a finite-difference framework for computations of compressible flows on structured grids, the RB schemes displayed good convergence, accuracy and shock-capturing properties which motivated their extension to unstructured grids using a finite volume (FV) method. A second-order formulation of the FV–RB scheme for compressible flows on general unstructured grids was presented in a previous paper. The present paper describes the derivation of a third-order FV–RB scheme and its application to hyperbolic model problems as well as subsonic, transonic and supersonic internal and external inviscid flows.

Dates et versions

hal-00567293 , version 1 (20-02-2011)

Identifiants

Citer

Christophe Eric Corre, Xi Du, A. Lerat. A third-order finite-volume residual-based scheme for the 2D Euler equations on unstructured grids. Journal of Computational Physics, 2011, pp.1-15. ⟨10.1016/j.jcp.2011.01.032⟩. ⟨hal-00567293⟩
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