Enriched finite element methods for the solution of large scale aero-acoustic problems

Ido Gur, Dan Givoli

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The solution of wave problems in general and the reduced wave equation, i.e. the Helmholtz equation, is important in many engineering fields. In recent years, there is a growing effort to develop computational methods aimed at solving the Helmholtz equation over different geometries and boundary condition. For large-scale aeroacoustic problem it is needed to solve the Helmholtz equation in a half-space domain over a non-flat topography with an impedance boundary condition implemented on the ground which simulates the ground acoustic absorption and reflection. The problem needs to be solved for many wave lengths and later assembled in order to evaluate how a listener hears a point source far from him. One way to solve the problem is by using finite element schemes. When using a Galerkin based finite element scheme it can be shown that the pollution effect prevents us from solving problems with frequencies relevant to the hearing system. In this research we developed a generalized finite element scheme (GFEM) to solve the Helmholtz problem for all range of frequencies by implementing the wave frequency and direction inside the basic shape function of the method.

Original languageEnglish
Title of host publication51st Israel Annual Conference on Aerospace Sciences 2011
Pages446-454
Number of pages9
StatePublished - 2011
Event51st Israel Annual Conference on Aerospace Sciences 2011 - Tel-Aviv and Haifa, Israel
Duration: 23 Feb 201124 Feb 2011

Publication series

Name51st Israel Annual Conference on Aerospace Sciences 2011
Volume1

Conference

Conference51st Israel Annual Conference on Aerospace Sciences 2011
Country/TerritoryIsrael
CityTel-Aviv and Haifa
Period23/02/1124/02/11

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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