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Non-Singular Burton–Miller Boundary Element Method for Acoustics

Sun, Qiang ; Klaseboer, Evert

Fluids (Basel), 2023-02, Vol.8 (2), p.56 [Periódico revisado por pares]

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Título:
Non-Singular Burton–Miller Boundary Element Method for Acoustics
Autor: Sun, Qiang ; Klaseboer, Evert
Assuntos: Acoustics ; Boundary element method ; desingularised boundary element method ; external sound wave problems ; Finite element method ; Helmholtz equations ; Integral equations ; Integrals ; Mathematical analysis ; spurious solutions ; Velocity
É parte de: Fluids (Basel), 2023-02, Vol.8 (2), p.56
Descrição: The problem of non-unique solutions at fictitious frequencies that can appear in the boundary element method for external acoustic phenomena described by the Helmholtz equation is studied. We propose a method to fully desingularise in an analytical way the otherwise hyper-singular Burton–Miller framework, where the original boundary element method and its normal derivative are combined. The method considerably simplifies the use of higher-order elements, for example, quadratic curved surface elements. The concept is validated using the example of scattering on a rigid sphere and a rigid cube, and its robustness and effectiveness for external sound-wave problems are confirmed.
Editor: Basel: MDPI AG
Idioma: Inglês

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