A third-order finite-volume residual-based scheme for the 2D Euler equations on unstructured grids |
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Authors: | Xi Du Christophe Corre Alain Lerat |
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Affiliation: | 1. DynFluid, Arts et Métiers ParisTech, 151 Boulevard de l’Hôpital, 75013 Paris, France;2. Grenoble-INP/UJF Grenoble1/CNRS LEGI UMR5519, Domaine Universitaire BP 53, 38041 Grenoble, France |
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Abstract: | 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. |
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Keywords: | Third-order Residual based scheme Finite volume Unstructured grids Steady Euler equations |
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