本文从三维N2S方程出发，采用隐式L2U分解算法和7组分15个反应的化学模型，数值模拟高超声速电离空气绕流。首先采用对称TVD格式、AUSMPW+格式和Van Leer的矢通量分裂格式计算了高超声速球头绕流，并对它们的计算结果做了对比分析。然后用前两种格式，对RAM2C飞行试验模型三个再入高度（81km、71km、61km）的流场进行了数值模拟，计算的流场电子数密度值和试验测量数据符合较好。

为尝试修正Hammerling假设，在仔细分析了非平衡状态下双原子分子振动态的分布特征的基础上，提出了新的分布近似函数。该近似分布函数能很好地体现非平衡状态下双原子分子振动态分布的主要特征,其在离解反应速率的理论计算中的应用也证明是成功的。同时还部分证明了Park的双温模型具有其理论基础。

CIP方法是国外发展起来的一种求解对流方程的数值方法。这种方法是一种紧致格式，它简便、直观同时稳定、数值扩散小。本文提出了保单调CIP方法的构造思路，并给出了几种包括一致高阶精度在内的保单调CIP格式。这些保单调CIP格式是原有CIP格式的修正，保持了其特点。模型方程数值试验的结果令人满意。

A general theory of Van der Waals forces developed by Lifshitz based on quantum electrodynamics theory is applied in the range R《λ0 (where the Casimir effects may be neglected) to construct Van der Waals attractive potential between identical dielectric molecules in rarefied media in order that the effective attractive potential between the like-molecules (including the repeat units) is offered. A closed form solution for the integral formulation of the attractive potential between like-particles is first obtained based on certain assumptions made in this work. On the basis of the theory of electric polarization, the derived expression in terms of bulk properties is then compared with the well-known London formula, the former differs from the latter only by the factor4. The validity of the effective potential can be verified by testing cases composed of several types of dielectric materials. The computed results are presented in this paper, and comparisons with the results computed by London dispersion formula, as well as the recommended values in virtue of the experimental and theoretical techniques, are also presented. The effective potential of polyethylene is also computed to demonstrate the effectiveness of the developed model, and it is found that the computed well depth fall within a reasonable range of accuracy.

对CFD在粘性模拟、算法、网格生成上的情况进行了概述，提出了CFD在进气道模拟上存在的问题。