Development of numerical method for simulating supersonic aerodynamic sound using new type of kinetic equation

我们设计了一种新的简单的运动方程模型，可以模拟超音速流动和气动声场。该模型基于Sone于2002年建立的自由分子型动力学方程的计算体系。数值模拟结果表明，该模型可以计算超音速流动，数值结果与可压缩N-S方程和欧拉方程的相应解吻合较好。

We have devised a new simple kinetic-equation model which can simulate supersonic flows and aerodynamic sound. This model is based on the free-molecular-type kinetic equation whose calculation system was constructed by Sone in 2002. Various numerical simulations are carried out to confirm that this model can compute supersonic flows and show that numerical results agree with the corresponding solutions of the compressible Navier-Stokes and Euler equations.