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在非结构网格上求解非线性航空声学问题的高精度有限体积法
作者姓名:Ilya  ABALAKIN  Alain  DERVIEUX  Tatiana  KOZUBSKAYA
作者单位:[1]Institute for Mathematical Modelling RAS. , Moscow, Russia [2]INRIA Sophia-Antipolis , France
基金项目:Foundation item: Russian Foundation of Basic Research(No. 04-01-08034, 06-01-00293-a)
摘    要:介绍了有限体积数值方法,该方法适用于在任意非结构网格上求解线性和非线性的航空声学问题.本方法基于角点-中心的多参数格式,可在笛卡尔网格上达到六阶精度,对于可能的不连续性采用了自适应耗散.通过一系列算例研究了该方法的特性,结果表明:在模拟谐振型管中的噪声抑制中,所提出的方法是很有效的.

关 键 词:非线性航空声学  欧拉模型  有限体积法  高精度近似  非结构网格    nonlinear  aeroacoustics  Euler  based  models  finite  volume  method  high  accuracy  approximation  unstructured  meshes  liners
文章编号:1000-9361(2006)02-0097-08
收稿时间:2005-10-23
修稿时间:2006-01-05

High Accuracy Finite Volume Method for Solving Nonlinear Aeroacoustics Problems on Unstructured Meshes
Ilya ABALAKIN Alain DERVIEUX Tatiana KOZUBSKAYA.High Accuracy Finite Volume Method for Solving Nonlinear Aeroacoustics Problems on Unstructured Meshes[J].Chinese Journal of Aeronautics,2006,19(2):97-104.
Authors:Ilya ABALAKIN  Alain DERVIEUX  Tatiana KOZUBSKAYA
Institution:1 . Institute for Mathematical Modelling RAS. , Moscow, Russia ;2. INRIA Sophia-Antipolis , France
Abstract:The paper presents a finite volume numerical method universally applicable for solving both linear and nonlinear aeroacoustics problems on arbitrary unstructured meshes. It is based on the vertexcentered multi-parameter scheme offering up to the 6th accuracy order achieved on the Cartesian meshes. An adaptive dissipation is added for the numerical treatment of possible discontinuities. The scheme properties are studied on a series of test cases, its efficiency is demonstrated at simulating the noise suppression in resonance-type liners.
Keywords:nonlinear aeroacoustics  Euler based models  finite volume method  high accuracy approximation  unstructured meshes  liners
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