Please use this identifier to cite or link to this item: https://doi.org/10.1121/1.3675947
Title: Conformal mapping for the Helmholtz equation: Acoustic wave scattering by a two dimensional inclusion with irregular shape in an ideal fluid
Authors: Liu, G. 
Jayathilake, P.G. 
Khoo, B.C. 
Han, F.
Liu, D.K.
Issue Date: Feb-2012
Source: Liu, G.,Jayathilake, P.G.,Khoo, B.C.,Han, F.,Liu, D.K. (2012-02). Conformal mapping for the Helmholtz equation: Acoustic wave scattering by a two dimensional inclusion with irregular shape in an ideal fluid. Journal of the Acoustical Society of America 131 (2) : 1055-1065. ScholarBank@NUS Repository. https://doi.org/10.1121/1.3675947
Abstract: The complex variables method with mapping function was extended to solve the linear acoustic wave scattering by an inclusion with sharp/smooth corners in an infinite ideal fluid domain. The improved solutions of Helmholtz equation, shown as Bessel function with mapping function as the argument and fractional order Bessel function, were analytically obtained. Based on the mapping function, the initial geometry as well as the original physical vector can be transformed into the corresponding expressions inside the mapping plane. As all the physical vectors are calculated in the mapping plane (, ), this method can lead to potential vast savings of computational resources and memory. In this work, the results are validated against several published works in the literature. The different geometries of the inclusion with sharp corners based on the proposed mapping functions for irregular polygons are studied and discussed. The findings show that the variation of angles and frequencies of the incident waves have significant influence on the bistatic scattering pattern and the far-field form factor for the pressure in the fluid. © 2012 Acoustical Society of America.
Source Title: Journal of the Acoustical Society of America
URI: http://scholarbank.nus.edu.sg/handle/10635/59778
ISSN: 00014966
DOI: 10.1121/1.3675947
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