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The simulation of inviscid, compressible flows using an upwind kinetic method on unstructured grids
Author(s) -
Mathur J. S.,
Weatherill N. P.
Publication year - 1992
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/fld.1650150106
Subject(s) - inviscid flow , upwind scheme , transonic , euler equations , airfoil , compressible flow , finite volume method , riemann solver , mathematics , delaunay triangulation , flow (mathematics) , roe solver , mechanics , compressibility , aerodynamics , physics , geometry , mathematical analysis , discretization
A kinetic flux‐vector‐splitting method has been used to solve the Euler equations for inviscid, compressible flow on unstructured grids. This method is derived from the Boltzmann equation and is an upwind, cell‐centered, finite volume scheme with an explicit time‐stepping procedure. The Delaunay triangulation has been used to generate the grids. The approach is demonstrated for three flow field simulations, namely the subsonic flow over a two‐component high‐lift aerofoil, the transonic flow over an aerofoil and the supersonic flow in a channel.