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A FLUX-BASED CONSERVATION APPROACH FOR ACOUSTIC PROBLEMS

Laboratoire de Recherche en Mécanique et Acoustique, ISAT Nevers, Équipe Vibro-acoustique, 49, rue Mademoiselle Bourgeois, 58000 Nevers, France

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CHRISTIAN PRAX

Laboratoire d'Études Aérodynamiques, UMR-CNRS 6609, Bât. K, Université de Poitiers, 40, Avenue du Recteur Pineau, 86022 Poitiers cedex, France

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EMMANUEL REDON

Laboratoire de Recherche en Mécanique et Acoustique, ISAT Nevers, Équipe Vibro-acoustique, 9, allée Alain Savary, BP 47870, 21078 Dijon cedex, France

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https://doi.org/10.1142/S0218396X08003440Cited by:1 (Source: Crossref)

Abstract

In this paper a Control Volume Finite Element Method for harmonic acoustic problems is presented. A dispersion analysis for control volume constructed on Q1 finite elements is compared to Galerkin FEM. The spatial convergence is also given in an eigenfrequency determination process for a cavity. The application for exterior acoustic problems is also studied by dividing the whole field into inner and outer domains using a fictitious boundary. A control volume formulation is used to compute the inner field of the truncated problem, and several approaches are combined to describe the outer field behavior on the outside of the fictitious boundary. The task of coupling is easily implemented through the balance of local flux through polygonal volumes. A two-dimensional configuration with a circular interface demonstrates the validity of this approach.

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