Non-Singular Burton-Miller Boundary Element Method for Acoustics

被引：1
|
作者：
Sun, Qiang [1 ]
Klaseboer, Evert [2 ]
机构：
[1] RMIT Univ, Australian Res Council Ctr Excellence Nanoscale Bi, Sch Sci, Melbourne, Vic 3001, Australia
[2] Agcy Sci Technol & Res, Inst High Performance Comp, 1 Fusionopolis Way, Singapore 138632, Singapore
来源：
FLUIDS | 2023年 / 8卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
desingularised boundary element method; external sound wave problems; spurious solutions; SURFACE INTEGRAL-EQUATIONS; SCATTERING; BEM; FORMULATION;
D O I：
10.3390/fluids8020056
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The problem of non-unique solutions at fictitious frequencies that can appear in the boundary element method for external acoustic phenomena described by the Helmholtz equation is studied. We propose a method to fully desingularise in an analytical way the otherwise hyper-singular Burton-Miller framework, where the original boundary element method and its normal derivative are combined. The method considerably simplifies the use of higher-order elements, for example, quadratic curved surface elements. The concept is validated using the example of scattering on a rigid sphere and a rigid cube, and its robustness and effectiveness for external sound-wave problems are confirmed.
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页数：12
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