An effective finite-difference scheme for solving full compressible Navier-Stokes equations was initiated by Beam and Warming. The purpose of this paper is to develop that technique and apply it to the calculations of several typical subsonic and transonic, inviscid and viscous steady flows for NACA 0012 airfoil. Part of the analysis briefly contains the derivation process of all used formulas and the empirical treatments. Inviscid and viscous flows are analyzed separately, along with associated grid formation techniques and boundary conditions.
Wang et al. (Sat,) studied this question.
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