WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 7, 2012
Plane Wave Based Method: Analytic Integration and Frequency Behaviour
Authors: , , , ,
Abstract: This paper deals with 2D acoustic problem. In order to study this problem, a finite element enriched by a plane wave base is used. This work focus on two aspects. Firstly, the study of this element depending on the frequency. Secondly, the description of an analytic integration technique. Two examples are studied, the first resemble to car cavity and the second resemble to rectangular duct. A comparison between numerical results obtained by standard finite element and enriched finite element are done, for the first one. And, for the second example, a comparison between numerical results obtained by the use of enriched finite element and analytic results are presented. With this work, the results found show that the performance of the enriched finite element increases while increasing the frequency, in the same way for the analytic integration.
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Keywords: Helmholtz equation, Finite elements, Plane wave basis, Frequency behaviour, Analytic integration, GAUSS integration