A stable penalty method for the compressible Navier-Stokes equations: II. One-dimensional domain decomposition schemes

This paper presents asymptotically stable schemes for patching of nonoverlapping subdomains when approximating the compressible Navier-Stokes equations given on conservation form. The scheme is a natural extension of a previously proposed scheme for enforcing open boundary conditions and as a result the patching of subdomains is local in space. The scheme is studied in detail for Burgers's equation and developed for the compressible Navier-Stokes equations in general curvilinear coordinates. The versatility of the proposed scheme for the compressible Navier-Stokes equations is illustrated for quasi-one-dimensional transonic nozzle flows and for flows around an infinitely long circular cylinder.


Published in:
SIAM Journal on Scientific Computing, 18, 3, 658-685
Year:
1997
ISSN:
10648275
Keywords:
Laboratories:




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