Analysis of Wall Criteria in Numerical Computation of Shock Wave/Layer Interaction

A new method, wall criteria, which evaluates numerical result satisfying interacting shear flow theory, is presented. This method can replace the analysis of grid convergence. Two ways to simplify two-dimensional Navier-Stokes equations are introduced: direct simplification and ignoring simplification from interacting shear flow theory. Then, an investigation of shock wave/layer interaction on a flat plate was studied through numerical simulation. The comparison of every term's magnitude in the expressions from direct method verifies the rationality and accuracy of the expressions deduced from the ignoring method. Lastly, the first and third wall criterion have been proved reasonable. Two nondimensionalized numbers Bc and Ec were introduced to estimate the quality of numerical outcome.