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.
Keywords: Burger equation ; Domain decomposition ; Stable penalty method ; Boundary conditions ; Cylinders (shapes) ; Navier Stokes equations ; Nozzles ; One dimensional ; Transonic flow ; Convergence of numerical methods
Record created on 2013-11-12, modified on 2016-08-09