A hybrid (boundary elements)-(finite elements)-ray-mode method for wave scattering by inhomogeneous scatterers in a waveguide

I-Tai Lu, H. K. Jung

Research output: Contribution to journalArticle

Abstract

Wave scattering by inhomogeneous scatterers in a waveguide is studied using a new method that combines the hybrid ray-mode, boundary element, and finite element methods systematically in a single framework. This is a generalization of the previous work [I. T. Lu, ''Analysis of acoustic wave scattering by scatterers in layered media using the hybrid raymode-(boundary integral equation) method,'' J. Acoust. Soc. Am. 86, 1136-1141 (1989)]. The boundary element method is employed to model the interaction among scatterers and the coupling between interior and exterior of scatterers, the finite element method to formulate the interior responses of the scatterers, and the ray-mode method to provide Green's function of the waveguide. This hybrid combination optimizes the advantages of each method and hence, provides physical insights and numerical efficiency and accuracy. To further improve the computational efficiency, the Jacobi's iteration solution is employed.

Original languageEnglish (US)
Pages (from-to)988-996
Number of pages9
JournalJournal of the Acoustical Society of America
Volume87
Issue number3
DOIs
StatePublished - 1990

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wave scattering
rays
waveguides
scattering
finite element method
acoustic scattering
boundary element method
iteration
integral equations
Green's functions
Ray
Waves
interactions
Finite Element Method

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

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abstract = "Wave scattering by inhomogeneous scatterers in a waveguide is studied using a new method that combines the hybrid ray-mode, boundary element, and finite element methods systematically in a single framework. This is a generalization of the previous work [I. T. Lu, ''Analysis of acoustic wave scattering by scatterers in layered media using the hybrid raymode-(boundary integral equation) method,'' J. Acoust. Soc. Am. 86, 1136-1141 (1989)]. The boundary element method is employed to model the interaction among scatterers and the coupling between interior and exterior of scatterers, the finite element method to formulate the interior responses of the scatterers, and the ray-mode method to provide Green's function of the waveguide. This hybrid combination optimizes the advantages of each method and hence, provides physical insights and numerical efficiency and accuracy. To further improve the computational efficiency, the Jacobi's iteration solution is employed.",
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AB - Wave scattering by inhomogeneous scatterers in a waveguide is studied using a new method that combines the hybrid ray-mode, boundary element, and finite element methods systematically in a single framework. This is a generalization of the previous work [I. T. Lu, ''Analysis of acoustic wave scattering by scatterers in layered media using the hybrid raymode-(boundary integral equation) method,'' J. Acoust. Soc. Am. 86, 1136-1141 (1989)]. The boundary element method is employed to model the interaction among scatterers and the coupling between interior and exterior of scatterers, the finite element method to formulate the interior responses of the scatterers, and the ray-mode method to provide Green's function of the waveguide. This hybrid combination optimizes the advantages of each method and hence, provides physical insights and numerical efficiency and accuracy. To further improve the computational efficiency, the Jacobi's iteration solution is employed.

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