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Transactions: WSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS
Transactions ID Number: 53-440
Full Name: Soufien Essahbi
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: U2MP Ecole National d'Ingénieur de Sfax Route de soukra km 3, B.P W cite Elhabib 3052, Sfax
Country: TUNISIA
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E-mail address: soufien.essahbi@hotmail.fr
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Title of the Paper: Plane wave based method: Analytic integration and frequency behaviour
Authors as they appear in the Paper: Essahbi Soufien, Emmanuel Perrey-Debain, Mabrouk Ben Tahar, Lotfi Hammami, Mohamed Haddar
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Number of paper pages: 12
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.
Keywords: Helmholtz equation; Finite elements; Plane wave basis; Frequency behaviour; Analytic integration; Gauss integration
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