A Method for Computing Flows over an Ogival Body.

摘要

A method for computing three-dimensional flow over an ogival body at angle of attack is described. An approximate set of governing equations is given for viscous flows which have a primary flow direction. A two-level second-order accurate marching procedure is presented for general equations. With this procedure, a three-dimensional turbulent flow can be solved in any coordinate system by marching along the assumed primary flow direction. General tube-like coordinates are developed for a class of geometries applicable to flows between tubular surfaces. The coordinates are then specialized to the flow field bounded between an ogival body at angle of attack and its bow shock. Unlike the ogival body surface, the bow shock surface is not known in advance of the solution but instead must be computed as the solution develops. One marching step of the solution process is broken down into several steps. First, the bow shock surface is discretely extended by an iteration of explicit local solutions. The bow shock surface is then smoothly extended to provide a best fit to the discrete shock data. Tube-like coordinates are generated and finally the second order numerical scheme is applied to advance the fully viscous solution to the next station. In addition, some preliminary computational results were obtained. Specifically, the code was applied to subsonic boundary layers, purely supersonic flow with shocks, and mixed subsonic-supersonic flow. (Author)