Numerical Solution of SUPG Finite-Element Method for Supersonic Viscous Flow

摘要

A streamline upwind/Petrov-Galerkin (SUPG) weighted residual formalism wasdeveloped in the paper for the quasi-simplified Navier-Stokes equations. Numerical computations were made for Burger's equation, the nonviscous shock wave reflection problem, as well as supersonic laminar flow over a flat plate and compression corner flow by using the method. The results of the computations show that this method is accurate, convergent, and stable.