Special short wave elements for flow acoustics

被引：32

作者：

Astley, RJ ^{[1
]}

Gamallo, P ^{[1
]}

机构：

[1] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 2-5期

基金：

英国工程与自然科学研究理事会;

关键词：

flow acoustics; Partition of Unity Method; short wave problems;

D O I：

10.1016/j.cma.2004.01.042

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical formulation based on the Partition of Unity Method (PUM) is proposed for modelling the propagation of short acoustic waves on irrotational mean flows. The method seeks to reduce the pollution error which exists in conventional FE schemes at high frequencies by using a local basis which is enriched by plane wave solutions of the convected Helmholtz equation. Initially the method is demonstrated with reference to a one dimensional model consisting of a variable area converging-diverging duct with mean flow. Next a simple two-dimensional model of a straight duct with uniform flow, is considered. In both cases the accuracy and the conditioning of the numerical solution is investigated for ranges of frequency and Mach number characteristic of aero-engine bypass ducts. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：341 / 353

页数：13

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