A COMPARISON OF TRANSIENT INFINITE ELEMENTS AND TRANSIENT KIRCHHOFF INTEGRAL METHODS FOR FAR FIELD ACOUSTIC ANALYSIS

Author:

WALSH TIMOTHY F.1,JONES ANDREA1,BHARDWAJ MANOJ1,DOHRMANN CLARK1,REESE GARTH1,WILSON RILEY1

Affiliation:

1. Computational Solid Mechanics and Structural Dynamics, Sandia National Laboratories (Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy (DE-AC04-94AL85000).), P. O. Box 5800, Albuquerque, NM 87185, USA

Abstract

Finite element analysis of transient acoustic phenomena on unbounded exterior domains is very common in engineering analysis. In these problems there is a common need to compute the acoustic pressure at points outside of the acoustic mesh, since meshing to points of interest is impractical in many scenarios. In aeroacoustic calculations, for example, the acoustic pressure may be required at tens or hundreds of meters from the structure. In these cases, a method is needed for post-processing the acoustic results to compute the response at far-field points. In this paper, we compare two methods for computing far-field acoustic pressures, one derived directly from the infinite element solution, and the other from the transient version of the Kirchhoff integral. We show that the infinite element approach alleviates the large storage requirements that are typical of Kirchhoff integral and related procedures, and also does not suffer from loss of accuracy that is an inherent part of computing numerical derivatives in the Kirchhoff integral. In order to further speed up and streamline the process of computing the acoustic response at points outside of the mesh, we also address the nonlinear iterative procedure needed for locating parametric coordinates within the host infinite element of far-field points, the parallelization of the overall process, linear solver requirements, and system stability considerations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Acoustics and Ultrasonics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Partitioned Coupling for Structural Acoustics;Journal of Vibration and Acoustics;2019-11-18

2. A weak-form meshfree coupled with infinite element method for predicting acoustic radiation;Engineering Analysis with Boundary Elements;2019-10

3. An Element-Free Galerkin Coupled with Improved Infinite Element Method for Exterior Acoustic Problem;Journal of Theoretical and Computational Acoustics;2019-06

4. Parallel Ellipsoidal Perfectly Matched Layers for Acoustic Helmholtz Problems on Exterior Domains;Journal of Theoretical and Computational Acoustics;2018-06

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