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Analysis of high speed non‐equilibrium chemically reacting gas flows. Part II. A finite volume/finite element model and numerical studies
Author(s) -
Harlé Christophe,
Carey Graham F.,
Varghese Philip L.
Publication year - 2000
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(20000330)32:6<691::aid-fld983>3.0.co;2-d
Subject(s) - riemann solver , finite volume method , finite element method , solver , mechanics , mach number , hypersonic speed , roe solver , mathematics , compressible flow , polygon mesh , compressibility , physics , geometry , thermodynamics , mathematical optimization
In this part, a new hybrid numerical model for solving the two‐dimensional axisymmetric Navier–Stokes equations for a multi‐species reacting gas out of thermal and chemical equilibrium is constructed. The formulation is based on a mixed finite volume/finite element formulation for unstructured meshes. The convective flux is treated with an approximate Osher–Riemann solver, and the other fluxes are treated using P 1 finite elements. New aspects of the extension of the Osher–Riemann solver are presented here. This scheme was used for the benchmark model comparison in Part I, and is applied here to hypersonic (Mach 25) flow past a two‐dimensional ellipse and a hemispherically blunted body at sea level. Copyright © 2000 John Wiley & Sons, Ltd.