Computation for a class of the unbounded acoustical waveguide with the curved interface

• Published in: Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 40; no. 2; pp. 131 - 135
• Main Author: Rong, Xiao
• Format: Journal Article
• Language: Chinese
• Published: Zhejiang University Press 01.03.2013
• Subjects: Acoustics; Computation; Curved; Helmholtz equations; helmholtz方程; Mathematical analysis; Mathematical models; Perfectly matched layers; Waveguides; 共轭特征函数; 声波导; 完美匹配层; 弯曲界面
• ISSN: 1008-9497
• DOI: 10.3785/j.issn.1008-9497.2013.02.003

The unbounded acoustical waveguide with the curved interface can be changed by the coordinate transform and terminated by the perfectly matched layer while the computation problem is then approximately turned to the numerical solution of the improved Helmholtz equation on the bounded waveguide with a flatted interface. It is extremely difficult to compute the coordinates under the local bases when the equation is solved by some numerical marching methods as this one is an improved and complex Helmholtz equation (ICHE) whose eigenfunctions are not orthogonal. This paper is not only to reduce a simplified formula of computing the coordinates under the local bases by applying adjoint eigenoperator, but also to calculate the acoustical waveguide with marching methods by applying this simplified formula. The numerical results of simulation show that the treatment is relatively feasible and efficient.