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High‐resolution simulation of inviscid flow in general domains
Author(s) -
Hall Oskar,
Schroll Hans Joachim,
Svensson Fredrik
Publication year - 2005
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.854
Subject(s) - inviscid flow , curvilinear coordinates , euler equations , conservation law , polygon mesh , finite volume method , flow (mathematics) , mathematics , euler's formula , computational fluid dynamics , resolution (logic) , space (punctuation) , computer science , mathematical analysis , geometry , mechanics , physics , artificial intelligence , operating system
In this paper, a high‐resolution finite volume method for calculating solutions to a hyperbolic conservation law is presented. The method works in two space dimensions on general domains and uses curvilinear meshes. A non‐trivial estimation of gradients needed for the reconstructions is presented. The paper contains examples of numerical solutions of the Euler gas dynamics equations. Copyright © 2005 John Wiley & Sons, Ltd.