Variational Formulation by Integral Equations for the Sound Radiation in a Non Uniform Flow
M. Ben Tahar and
M. A. Hamdi
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M. Ben Tahar: Université de Technologie de Compiègne, Division Acoustique et Vibrations Industrielles
M. A. Hamdi: Université de Technologie de Compiègne, Division Acoustique et Vibrations Industrielles
Chapter D34 in Numerical Techniques for Engineering Analysis and Design, 1987, pp 295-303 from Springer
Abstract:
Abstract We present in this work a new variational formulation by integral equations which enables the calculation of acoustic fields radiated in non uniform compressible flows. Indeed, this formulation reduces the integral domain without modifying the Sommerfeld’s radiation condition. Moreover it avoids computation of the “finite part” of singular integrals and leads to a compact symetrical linear system after discretisation by finite elements. This system is then solved by an iterative method.
Keywords: Mach Number; Variational Formulation; Singular Integral; Compressible Flow; Subsonic Flow (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3653-9_34
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DOI: 10.1007/978-94-009-3653-9_34
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