PML Boundary Conditions for Full Euler Equations

China Mechanical Engineering ›› 2011, Vol. 22 ›› Issue (16): 1938-1941,1948.

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PML Boundary Conditions for Full Euler Equations

Liu Zhanxin;Gao Pin;Tong Zhiyong

No.710 Research Institute of China Shipbuilding Industry Corporation,Yichang,Hubei,443003

Online:2011-08-25 Published:2011-08-30

全欧拉方程的理想匹配层边界条件

柳占新;高频;仝志勇

中船重工集团第710研究所，宜昌，443003

Abstract

Abstract:

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.

Key words:

full Euler equation, perfectly matched layer(PML), inlet of a engine, computational aeroacoustics

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。

关键词:

全欧拉方程, 理想匹配层, 发动机进气道, 计算气动声学

CLC Number:

V211.3

LIU Tie-Xin, GAO Bin, TONG Zhi-Yong.

PML Boundary Conditions for Full Euler Equations

[J]. China Mechanical Engineering, 2011, 22(16): 1938-1941,1948.

柳占新, 高频, 仝志勇.

全欧拉方程的理想匹配层边界条件

[J]. 中国机械工程, 2011, 22(16): 1938-1941,1948.

References

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[8]Hu F Q,Li X D,Lin D K,et al. Absorbing Boundary Conditions for Nonlinear Euler and Navier-stokes Equations Based on the Perfectly Matched Layer Technique[J]. Journal of Computational Physics, 2008, 227 (9) : 4398-4424.
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[11]柳占新.基于DRP方法的涡扇发动机进气道噪声传播过程数值模拟[D].华中科技大学,2010:

PML Boundary Conditions for Full Euler Equations

全欧拉方程的理想匹配层边界条件

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