Mid-frequency acoustic analysis using edge-based smoothed tetrahedron radialpoint interpolation methods

Z. C. He, G. Y. Li, Quan Bing Eric Li, Zhihua Zhong, G. R. Liu

Research output: Contribution to journalArticlepeer-review

Abstract

An edge-based smoothed tetrahedron radial point interpolation method (ES-T-RPIM) is formulated for the 3D acoustic problems, using the simplest tetrahedron mesh which is adaptive for any complicated geometry. In present ES-T-RPIM, 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. The smoothed Galerkin weak form is then used to create the discretized system equations. The acoustic pressure is constructed using radial point interpolation method, and two typical schemes of selecting nodes for interpolation using RPIM have been introduced in detail. It turns out that the ES-T-RPIM provides an ideal amount of softening effect, and significantly reduces the numerical dispersion error in low- to mid-frequency range. Numerical examples demonstrate the superiority of the ES-T-RPIM for 3D acoustic analysis, especially at mid-frequency.
Original languageEnglish
Article number1350103
JournalInternational Journal of Computational Methods
Volume11
Issue number5
Publication statusPublished - 2014

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