Numerical solution of the kinetic model equations for hypersonic flows
Numerical solution of the kinetic model equations for hypersonic flows
复制标题
高超声速流动力学模型方程的数值求解
DOI：
10.1007/bf00350099
复制
发表时间：
1993
影响因子：
4.1
通讯作者：
T. Oishi
中科院分区：
文献类型：
--
作者：
N. Satofuka;K. Morinishi;T. Oishi
提出了一种求解高超声速流动模型运动方程的数值方法。分布函数的模型方程在相空间中采用二阶迎风有限差分格式进行离散。利用有理Runge-Kutta格式积分得到的时间常微分方程组。对不同自由流条件下的双椭圆高超声速绕流进行了计算。计算结果与相应情况下的Navier-Stokes解和直接模拟蒙特卡罗方法进行了比较。总体而言，这项协议相当出色。
A numerical method for solving the model kinetic equations for hypersonic flows has been developed. The model equations for the distribution function are discretized in phase space using a second order upwind finite difference scheme for the spatial derivatives. The resulting system of ordinary differential equations in time is integrated by using a rational Runge-Kutta scheme. Calculations were carried out for hypersonic flow around a double ellipse under various free stream conditions. Calculated results are compared with the Navier-Stokes solutions and the Direct Simulation Monte Carlo (DSMC) method for the corresponding case. The agreement is quite excellent in general.