高超音速粘性流场数值计算中差分格式的对比分析

An Investigation of Difference Schemes for Numerical Simulation of Hypersonic Viscous Flowfield

本文通过三维高超音速粘性流场的求解对三种常用的差分格式： Ｈａｒｔｅｎ 的 Ｔ Ｖ Ｄ 格式、修正后的 Ｏｓｈｅｒ Ｃｈａｋｒａｖａｒｔｈｙ 的 Ｔ Ｖ Ｄ 格式以及 Ｊａｎｅｓｏｎ 的当地极值递减 （ Ｌ Ｅ Ｄ） 格式对激波的分辨率、边界层计算的准确性和格式的计算效率等三个方面进行了较细致的对比分析， 为三维高超音速复杂流场的数值模拟打下基础。

In this paper, the time dependent numerical method has been used to solve the three dimensional Navier Stokes equation, the numerical procedure uses Roe's flux difference splitting technigue and TVD scheme or LED scheme for the convective terms and central differencing scheme for viscous terms. Numerical solution of hypersonic laminar flow over a blunt biconic with attack angle is obtained. The resolution of shock, computational accuracy of viscous boundary layer and the efficiency of three schemes: Osher Chakraverthy's TVD scheme, Harten's TVD scheme and Jameson's LED scheme, are investigated and compared by the numerical calculation of three dimensional hypersonic viscous flow.