An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh

Z. C. He; G. Y. Li; Zhihua Zhong; A. G. Cheng; G. Y. Zhang; Eric Li; G. R. Liu

doi:10.1016/j.compstruc.2012.04.014

An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh

Z. C. He, G. Y. Li, Zhihua Zhong, A. G. Cheng, G. Y. Zhang, Eric Li, G. R. Liu

SCEDT Engineering

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

An edge-based smoothed finite element method (ES-FEM) is proposed to solve 3D acoustic problems in the mid-frequency range, using the simplest linear tetrahedron meshes that can be generated automatically for complicated geometry. In present ES-FEM, the gradient smoothing operation is performed with respect to each edge-based smoothing domain, which is also serving as building blocks in the assembly of the stiffness matrix. It turns out the ES-FEM provides an ideal amount of softening effect, and significantly reduces the numerical dispersion error in low- to mid-frequency range. Several numerical examples demonstrate the superiority of the ES-FEM for 3D acoustic analysis, especially at mid-frequency.

Original language	English
Pages (from-to)	125-134
Number of pages	10
Journal	Computers and Structures
Volume	106-107
DOIs	https://doi.org/10.1016/j.compstruc.2012.04.014
Publication status	Published - 1 Sept 2012

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10.1016/j.compstruc.2012.04.014

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title = "An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh",

abstract = "An edge-based smoothed finite element method (ES-FEM) is proposed to solve 3D acoustic problems in the mid-frequency range, using the simplest linear tetrahedron meshes that can be generated automatically for complicated geometry. In present ES-FEM, the gradient smoothing operation is performed with respect to each edge-based smoothing domain, which is also serving as building blocks in the assembly of the stiffness matrix. It turns out the ES-FEM provides an ideal amount of softening effect, and significantly reduces the numerical dispersion error in low- to mid-frequency range. Several numerical examples demonstrate the superiority of the ES-FEM for 3D acoustic analysis, especially at mid-frequency.",

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AU - He, Z. C.

AU - Li, G. Y.

AU - Zhong, Zhihua

AU - Cheng, A. G.

AU - Zhang, G. Y.

AU - Li, Eric

AU - Liu, G. R.

PY - 2012/9/1

Y1 - 2012/9/1

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AB - An edge-based smoothed finite element method (ES-FEM) is proposed to solve 3D acoustic problems in the mid-frequency range, using the simplest linear tetrahedron meshes that can be generated automatically for complicated geometry. In present ES-FEM, the gradient smoothing operation is performed with respect to each edge-based smoothing domain, which is also serving as building blocks in the assembly of the stiffness matrix. It turns out the ES-FEM provides an ideal amount of softening effect, and significantly reduces the numerical dispersion error in low- to mid-frequency range. Several numerical examples demonstrate the superiority of the ES-FEM for 3D acoustic analysis, especially at mid-frequency.

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SN - 0045-7949

VL - 106-107

SP - 125

EP - 134

JO - Computers and Structures

JF - Computers and Structures

ER -

An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh

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