中文摘要：

以不稳定直接模拟Monte Carlo方法（DSMC）对以时间周期振动的Couetle流作出特征参数方面的研究。计算以Knudsen（Kn） and Stokes（β）数为特征函数。另外，本文以适用于振动Couette流自由分子流动区的线性尤碰撞Boltzmann方程导出解析方法，并且利用它验证了在自由分子流动区的DSMC结果。

英文摘要：

A complete mathematical description of oscillatory Couette flows within the framework of kinetictheory is not available in the literature. We present a parametric study of time - periodic oscillatory Couette flows using the unsteady direct simulation Monte Carlo （DSMC） method. Computations are performed as a function of the Knudsen （Kn） and Stokes（β）numbers. In addition,we derived an analytical solution of the linearized collisionless Boltzmann equation for oscillatory Couette flows, and utilized this to validate the DSMC results in the free - molecular flow regime.