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Wall boundary conditions for inviscid compressible flows on unstructured meshes
Author(s) -
Balakrishnan N.,
Fernandez G.
Publication year - 1998
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(19981230)28:10<1481::aid-fld776>3.0.co;2-b
Subject(s) - riemann solver , inviscid flow , euler equations , polygon mesh , boundary (topology) , compressible flow , mathematics , context (archaeology) , riemann problem , boundary value problem , roe solver , euler's formula , computational fluid dynamics , supersonic speed , transonic , compressibility , mathematical analysis , riemann hypothesis , geometry , mechanics , physics , aerodynamics , finite volume method , geology , paleontology
In this paper we revisit the problem of implementing wall boundary conditions for the Euler equations of gas dynamics in the context of unstructured meshes. Both (a) strong formulation, where the zero normal velocity on the wall is enforced explicitly and (b) weak formulation, where the zero normal velocity on the wall is enforced through the flux function are discussed. Taking advantage of both approaches, mixed procedures are defined. The new wall boundary treatments are accurate and can be applied to any approximate Riemann solver. Numerical comparisons for various flow regimes, from subsonic to supersonic, and for various approximate Riemann solvers point out that the mixed boundary procedures drastically improve the accuracy. © 1998 John Wiley & Sons, Ltd.