格子玻尔兹曼方法中的特征无反射边界条件研究  

Characteristic Boundary Condition in Lattice Boltzmann Method

作　　者：邵卫东[1] 李军[1] 

机构地区：[1]西安交通大学叶轮机械研究所,西安710049

出　　处：《工程热物理学报》2018年第2期277-284,共8页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.51376144);中央高校基本科研业务费专项基金

摘　　要：采用多尺度展开技术从耦合双分布函数方程中恢复出守恒型的连续、动量和能量方程。在边界上取分布函数的平衡态形式恢复出欧拉方程,方便地引入了特征无反射边界条件。在此基础上采用二阶非平衡态外推格式来考虑黏性和传热对声传播的影响。通过对四种经典的数值算例的考查,特征无反射边界条件均能避免边界上伪反射波的产生。格子玻尔兹曼方法与特征无反射边界条件的结合能够准确地预测噪声的传播。Conservative continuum, momentum and energy equations are completely recovered from double distribution function equations with multiple expansion technique. In order to introduce characteristic boundary condition, Euler equation is recovered by taking the distribution function as its equilibrium forms at the boundary. Then second-order equilibrium extrapolation scheme is used to include the influences of viscosity and heat transfer on acoustic transmission. With the examination of four classical numerical examples, characteristic boundary condition can eliminate the spurious reflecting waves. The combination of lattice Boltzmann method and characteristic boundary condition could accurately predict the acoustic transmission.

关 键 词：特征无反射边界条件 格子玻尔兹曼方法 计算气动声学 高精度离散 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]