scholarly journals Introduction of generalized curvilinear coordinates to spectral nodal Galerkin methods for irregular-shaped two-dimensional sound field analysis

2018 ◽  
Vol 39 (1) ◽  
pp. 44-47
Author(s):  
Yozo Araki ◽  
Toshiya Samejima
Keyword(s):  
Sound Field ◽  
Field Analysis ◽  
Curvilinear Coordinates ◽  
Galerkin Methods ◽  
Two Dimensional

scholarly journals A Rigorous Two-Dimensional Field Analysis of DFB Structures

1999 ◽  
Vol 22 ◽  
pp. 197-212 ◽  
Author(s):  
M. Akbari ◽  
M. Shahabadi ◽  
K. Schunemann
Keyword(s):  
Field Analysis ◽  
Two Dimensional

scholarly journals A Spectral Method for Two-Dimensional Ocean Acoustic Propagation

2021 ◽  
Vol 9 (8) ◽  
pp. 892
Author(s):  
Xian Ma ◽  
Yongxian Wang ◽  
Xiaoqian Zhu ◽  
Wei Liu ◽  
Qiang Lan ◽  
...  
Keyword(s):  
Numerical Calculation ◽  
Spectral Method ◽  
Collocation Method ◽  
Approximation Error ◽  
Sound Field ◽  
Acoustic Propagation ◽  
Two Dimensional ◽  
Chebyshev Collocation Method ◽  
Chebyshev Collocation ◽  
Wide Range

The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve actual ocean acoustic fields using this model due to its application conditions and approximation error. Therefore, it is necessary to develop a direct solution method for the two-dimensional Helmholtz equation of ocean acoustic propagation without using simplified models. Here, two commonly used spectral methods, Chebyshev–Galerkin and Chebyshev–collocation, are used to correctly solve the two-dimensional Helmholtz model equation. Since Chebyshev–collocation does not require harsh boundary conditions for the equation, it is then used to solve ocean acoustic propagation. The numerical calculation results are compared with analytical solutions to verify the correctness of the method. Compared with the mature Kraken program, the Chebyshev–collocation method exhibits higher numerical calculation accuracy. Therefore, the Chebyshev–collocation method can be used to directly solve the representative two-dimensional ocean acoustic propagation equation. Because there are no model constraints, the Chebyshev–collocation method has a wide range of applications and provides results with high accuracy, which is of great significance in the calculation of realistic ocean sound fields.

Sound field analysis and simulation for fluid machines

2009 ◽  
Vol 40 (1) ◽  
pp. 15-22 ◽  
Author(s):  
Shao-Yi Hsia ◽  
Shih-Ming Chiu ◽  
Jyin-Wen Cheng
Keyword(s):  
Sound Field ◽  
Field Analysis
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