An efficient meshless boundary point interpolation method for acoustic radiation and scattering. (March 2020)

• Record Type: Journal Article
• Authors: Chen, Linchong; Li, Xiaolin
• Is Part Of: Computers & structures. Volume 229(2020)
• Publication Date: 2020-03
• Subjects: Meshless methods -- Boundary point interpolation method -- Acoustic problem -- Eigenfrequencies -- Singular integrals -- Infinite domain; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2019.106182
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: Efficient meshless analysis of acoustic problems in infinite domains at all frequencies is addressed. A direct and efficient technique is developed to compute strongly singular and hypersingular integrals in a unified way. An efficient way is used to build shape functions for the point interpolation method. The present method has great versatility for acoustic problems with arbitrary wavenumbers and with one or more objects. Abstract: An efficient application of the boundary point interpolation method (BPIM) to acoustic radiation and scattering is presented. With the aid of a combined field integral equation, the BPIM is effective and robust to produce unique solutions at all frequencies. Using a Lagrange point interpolation method to form shape functions in explicit form, the inversion of the interpolation matrix in the traditional point interpolation method is removed and then the computational efficiency of the BPIM is enhanced. A power series expansion method is presented to direct compute the troublesome strongly singular and hypersingular integrals in a unified way. Several benchmark examples demonstrate the efficiency and accuracy of the present meshless BPIM for acoustic radiation and scattering problems at all frequencies.