A Stable Penalty Method for the Compressible Navier--Stokes Equations: I. Open Boundary Conditions

Authors:
J. S. Hesthaven;D. Gottlieb
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
1996

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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 flow past a circular cylinder.