全欧拉方程的理想匹配层边界条件

摘要

首先从声学的角度推导出了线性欧拉方程理想匹配层（PML）边界条件的变换系数;然后推导了笛卡儿坐标系和柱坐标系下全欧拉方程的PML方程,并说明了线性欧拉方程的PML方程只是全欧拉方程的PML方程的一个特例;最后利用柱坐标系下全欧拉方程的PML方程作为出流边界条件,计算了喷气发动机进气道处的流场,用实例证明了全欧拉方程的PML方程的正确性。%The transformation coefficient of the PML boundary condition for linearized Euler equations was first deduced herein.Then PML boundary conditions for full Euler-equations in both Cartesian and cylindrical coordinate systems were presented. It is shown that PML Equations for linearized Euler equations are only special cases of those for full Euler equations.Finally,the PML equations for full Euler equations were validated by computing the flow field of the inlet of jet engine in which PML was imposed as outflow boundary conditions.