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Boundary conditions on artificial frontiers for incompressibleand compressible Navier-Stokes equations

Published online by Cambridge University Press:  15 April 2002

Charles-Henri Bruneau
Charles-Henri Bruneau*
Affiliation:
Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence, France. (bruneau@math.u-bordeaux.fr)
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Abstract

Non reflecting boundary conditions on artificial frontiersof the domain are proposed for bothincompressible and compressible Navier-Stokes equations.For incompressible flows, the boundary conditions lead to a well-posedproblem, convey properly the vortices without any reflections on theartificial limits and allow to compute turbulent flows at high Reynoldsnumbers.For compressible flows, the boundary conditions convey properly thevortices without any reflections on the artificial limits and alsoavoid acoustic waves that go back into the flow and change itsbehaviour.Numerical tests illustrate the efficiency of the various boundaryconditions.

Keywords

Navier-Stokes equationsartificial boundary conditions.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 2: Special issue for R. Teman's 60th birthday , March 2000 , pp. 303 - 314
Copyright
© EDP Sciences, SMAI, 2000

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