Abstract
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.
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.
Original language | English |
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Journal | S I A M Journal on Scientific Computing |
Volume | 18 |
Issue number | 3 |
Pages (from-to) | 658-685 |
ISSN | 1064-8275 |
DOIs | |
Publication status | Published - 1997 |