凹型钝头体超音速粘性流场的数值模拟

NUMERICAL SIMULATION OF SUPERSONIC VISCOUS FLOW ABOUT INDENTED NOSETIPS

本文首先从单个方程出发,根据TVD思想,比较自然地给出了二阶带通量限制器的CSCM差分方法,然后推广到方程组情形。为了验证方法和程序,将球头绕流计算结果同文献[2]作了比较,然后运用此方法模拟了轴对称凹型钝体的粘性超音速分离绕流流场,对一阶与二阶、粘性与无粘性数值结果作了比较。计算网格采用了简单、快速易行的拟正交代数生成方法。

Accourding to the thought of TVD, we propose the TVD-type second-order CSCM, from a siugle eqution, then extend it to system of equtions. To test the method and computer code, we compare our results for sphere with those of the reference [2]. Using our code, we simulate the supersonic viscous separated flow over indented nosetips. We compare the first - order results with the second -order results, and viscous results with inviscid results. Computational grids are generated by a simpler and faster quasi-orthogonal algebraic generation method.