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Artificial Boundary Conditions for the Linearized Compressible Navier–Stokes Equations

✍ Scribed by Loı̈c Tourrette

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
860 KB
Volume
137
Category
Article
ISSN
0021-9991

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✦ Synopsis

The compressible Navier-Stokes equations belong to the class of incompletely parabolic systems. The general method developed by Laurence Halpern for deriving artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems is applied to the linearized compressible Navier-Stokes equations to obtain high order artificial boundary conditions which are valid for small viscosities, high time frequencies and long space wavelengths. They are implemented in 1D and 2D model problems and compared to the most commonly used boundary conditions to validate the approach, based on asymptotic expansions with respect to the viscosity. The ''improved artificial boundary conditions of order (1,1)'' provide the best results.

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