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14 October 2024 |
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Article overview
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A Wavenumber Integration Model of Underwater Acoustic Propagation in Arbitrary Horizontally Stratified Media Based on a Spectral Method | | Houwang Tu
; Yongxian Wang
; Wei Liu
; Shuqing Ma
; Xiaodong Wang
; Wenbin Xiao
; | | Date: |
1 Jun 2022 | | Abstract: | The wavenumber integration method is considered to be the most accurate
algorithm of arbitrary horizontally stratified media in computational ocean
acoustics. Compared with normal modes, it contains not only the discrete
spectrum of the wavenumber but also the components of the continuous spectrum,
eliminating errors in the model approximation for horizontally stratified
media. Traditionally, analytical and semianalytical methods have been used to
solve the depth-separated wave equation of the wavenumber integration method,
and numerical solutions have generally focused on the finite difference method
and the finite element method. In this paper, an algorithm for solving the
depth equation with the Chebyshev--Tau spectral method combined with the domain
decomposition strategy is proposed, and a numerical program named WISpec is
developed accordingly. The algorithm can simulate both the sound field excited
by a point source and the sound field excited by a line source. The key idea of
the algorithm is first to discretize the depth equations of each layer by using
the Chebyshev--Tau spectral method and then to solve the equations of each
layer simultaneously by combining boundary and interface conditions. Several
representative numerical experiments are devised to test the accuracy of
’WISpec’. The high consistency of the results of different models running under
the same configuration proves that the numerical algorithm proposed in this
paper is accurate, reliable, and numerically stable. | | Source: | arXiv, 2206.00312 | | Services: | Forum | Review | PDF | Favorites | |
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