A Novel Algorithm to Solve for an Underwater Line Source Sound Field Based on Coupled Modes and a Spectral Method

Tu, Houwang; Wang, Yongxian; Yang, Chunmei; Wang, Xiaodong; Ma, Shuqing; Xiao, Wenbin; Liu, Wei

doi:10.48550/arxiv.2112.13602

Cited by 2 publications

(2 citation statements)

References 27 publications

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“…Our model adopts an absorbing layer to simulate the acoustic half-space, which overcomes the shortcomings of Sabatini's algorithm, namely, matrices that are twice as large and a slow computational speed. Additionally, we conducted research on solving parabolic equation models with the spectral method [19][20][21] and subsequently proposed a spectral method-based algorithm for solving acoustic propagation in a two-dimensional, range-dependent marine environment [22,23].…”

Section: Introductionmentioning

confidence: 99%

Application of a Spectral Method to Simulate Quasi-Three-Dimensional Underwater Acoustic Fields

Tu¹,

Wang²,

Liu³

et al. 2022

Preprint

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The solution and synthesis of quasi-three-dimensional sound fields have always been core issues in computational ocean acoustics. Traditionally, finite difference algorithms have been employed to solve these problems. In this paper, a novel numerical algorithm based on the spectral method is devised. The quasi-three-dimensional problem is transformed into a problem resembling a two-dimensional line source using an integral transformation strategy. Then, a stair-step approximation is adopted to address the range dependence of the two-dimensional problem; because this approximation is essentially a discretization, the range-dependent two-dimensional problem is further simplified into a one-dimensional problem. Finally, we apply the Chebyshev-Tau spectral method to accurately solve the one-dimensional problem. We present the corresponding numerical program for the proposed algorithm and describe some representative numerical examples. The simulation results ultimately verify the reliability and capability of the proposed algorithm.

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Section: Introductionmentioning

confidence: 99%

Application of a Spectral Method to Simulate Quasi-Three-Dimensional Underwater Acoustic Fields

Tu¹,

Wang²,

Liu³

et al. 2022

Preprint

Self Cite

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“…Spectral methods have high accuracy and fast convergence speed [14][15][16][17][18][19][20] and have been rapidly developed in acoustics [21,22], especially computational ocean acoustics. In recent years, new algorithms of normal modes [23][24][25][26][27][28][29], coupled modes [30][31][32] and parabolic equation models [33][34][35] based on spectral methods have been successively proposed. In this paper, a Chebyshev-Tau spectral method is used to numerically solve the depth-separated wave equation.…”

Section: Introductionmentioning

confidence: 99%

A Spectral Method for Depth-Separated Solution of a Wavenumber Integration Model in Horizontally Stratified Fluid Acoustic Waveguides

Tu¹,

Wang²,

Liu³

et al. 2022

Preprint

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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 depthseparated 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.

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A Novel Algorithm to Solve for an Underwater Line Source Sound Field Based on Coupled Modes and a Spectral Method

Cited by 2 publications

References 27 publications

Application of a Spectral Method to Simulate Quasi-Three-Dimensional Underwater Acoustic Fields

Application of a Spectral Method to Simulate Quasi-Three-Dimensional Underwater Acoustic Fields

A Spectral Method for Depth-Separated Solution of a Wavenumber Integration Model in Horizontally Stratified Fluid Acoustic Waveguides

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