STABILIZATION OF HIGHER-ORDER HIGH-RESOLUTION SCHEMES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS

Proposes a measure to stabilize the fourth(fifth)order high resolution schemes for the compressible Navier-Stokes equations. Solves the N-S equations of the volume fluxes and the low-Reynolds number k-epsilon t urbulence model in general curvilinear co-ordinates by the delta-form implicit finite difference methods. Notes that, in order to simulate t he flow containing weak discontinuities accurately, it is very effecti ve to use some higher-order TVD upstream-difference schemes in the rig ht-hand side of the equations of these methods; however, the higher-or der correction terms of such schemes in general amplify the numerical disturbances. Therefore, restricts these terms here by operating the m inmod functions to the curvatures so as to suppress the occurrence of new inflection points. Computes an unsteady transonic turbine cascade flow where vortex streets occur from the trailing edge of blades and i nteract with shock waves. Finds that the stabilization measure improve s not only the computational results but also the convergency for such a complicated flow problem.