Abstract
The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier-Stokes equations in three spatial dimensions. The treatment uses the conservation form of the Navier-Stokes equations and utilizes linearization and localization at the boundaries based on these variables.
The proposed boundary conditions are applied through a penalty procedure, thus ensuring correct behavior of the scheme as the Reynolds number tends to infinity. The versatility of this method is demonstrated for the problem of a compressible now past a circular cylinder.
The proposed boundary conditions are applied through a penalty procedure, thus ensuring correct behavior of the scheme as the Reynolds number tends to infinity. The versatility of this method is demonstrated for the problem of a compressible now past a circular cylinder.
Original language | English |
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Journal | S I A M Journal on Scientific Computing |
Volume | 17 |
Issue number | 3 |
Pages (from-to) | 579-612 |
ISSN | 1064-8275 |
DOIs | |
Publication status | Published - 1996 |