An implicit finite difference scheme for the compressible Navier-Stokes equations

An implicit finite difference scheme lhas been developed for the compressible Navier-Stokes equations in general curvilinear coordinates, based on the naturally dissipative centered scheme by Lerat for hyperbolic systems of equations. The scheme wab tested under two supersonic flow configuracompared with existing scheme-. A simplified version of the scheme was shown to cause inaccuracies in the steady State solution. tions. The results showed poor convergence rates