气体运动论数值算法在微槽道流中的应用研究

Gas kinetic numerical algorithm for flows in microchannel

简要介绍基于Boltzmann模型方程的气体运动论数值算法基本思想及其对二维微槽道流动问题数值计算的推广,并阐述适用于微尺度流动问题的气体运动论边界条件数值处理方法。通过对压力驱动的二维微槽道流动问题进行数值模拟,将不同Knudsen数下的微槽道流计算结果分别与有关DSMC模拟值和经滑移流理论修正的N-S方程解进行比较分析,表明基于Boltzmann模型方程的气体运动论数值算法对微槽道气体流动问题具有很好的模拟能力。

In the present paper, the basic idea of the gas kinetic unified algorithm with Boltzmann model equation is introduced and extended in the numerical simulation of the gas flows in two-dimensional microchannel. The numerical modeling of the gas kinetic boundary conditions suitable for use in micro-scale gas flows is studied. The gas flows driven by pressure in two-dimensional microchannel with various Knudsen numbers are computed and compared with related DSMC results and the N-S solutions modified with slip-flow boundary theory. The comparisons show that the gas kinetic unified algorithm using Boltzmann model equation can effectively simulate the gas flows in microchannel. The numerical experience shows that this method may be a powerful tool in the numerical simulation of micro-scale gas flows.