Calculation of low Mach number acoustics: A comparison of MPV, EIF and linearized Euler equations

被引:0
作者
Roller, S [1 ]
Schwartzkopff, T
Fortenbach, R
Dumbser, M
Munz, CD
机构
[1] Univ Stuttgart, High Performance Comp Ctr Stuttgart HLRS, D-7000 Stuttgart, Germany
[2] Univ Stuttgart, Inst Aerodynam & Gasdynam, D-7000 Stuttgart, Germany
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2005年 / 39卷 / 03期
关键词
aero-acoustics; low Mach number flows; asymptotic expansion; heterogeneous domain decomposition;
D O I
10.1051/m2an:2005016
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The calculation of sound generation and propagation in low Mach number flows requires serious reflections on the characteristics of the underlying equations. Although the compressible Euler/Navier-Stokes equations cover all effects, an approximation via standard compressible solvers does not have the ability to represent acoustic waves correctly. Therefore, different methods have been developed to deal with the problem. In this paper, three of them are considered and compared to each other. They are the Multiple Pressure Variables Approach (MPV), the Expansion about Incompressible Flow (EIF) and a coupling method via heterogeneous domain decomposition. In the latter approach, the non-linear Euler equations are used in a domain as small as possible to cover the sound generation, and the locally linearized Euler equations approximated with a high-order scheme are used in a second domain to deal with the sound propagation. Comparisons will be given in construction principles as well as implementational effort and computational costs on actual numerical examples.
引用
收藏
页码:561 / 576
页数:16
相关论文
共 20 条