Modeling Techniques for Underwater Acoustic Scattering and Propagation (Including 3D Effects)

Petrov, P. S.; Katsnelson, Boris; Li, Zhenglin

doi:10.3390/jmse10091192

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…Expansion of the proposed method to the elastic equation is planned. Given the growing interest of the community in modeling in a substantially three-dimensional environment [1,13], the proposed method should also be extended to this case. Bearing in mind the previously mentioned principle of mathematical model universality, the proposed method can find applications in a number of other subject areas and mathematical models where parabolic equations are used.…”

Section: Discussionmentioning

confidence: 99%

“…Given the variety of heterogeneities that occur under water, as well as large distances, numerical modeling of the wave propagation appears to be a rather sophisticated problem. For over 20 years, improving the efficiency of computer modeling methods has remained an urgent task [1]. One of the most widely used approaches for solving this problem is the parabolic equation method [2] and its wide-angle generalizations [3][4][5], also known as the one-way Helmholtz equation.…”

Section: Introductionmentioning

confidence: 99%

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Mesh Optimization for the Acoustic Parabolic Equation

Lytaev

2023

JMSE

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This work is devoted to increasing the computational efficiency of numerical methods for the one-way Helmholtz Equation (higher-order parabolic equation) in a heterogeneous underwater environment. The finite-difference rational Padé approximation of the propagation operator is considered, whose artificial computational parameters are the grid cell sizes and reference sound speed. The relationship between the parameters of the propagation medium and the artificial computational parameters is established. An optimized method for automatic determination of the artificial computational parameters is proposed. The optimization method makes it possible to account for any propagation angle and arbitrary variations in refractive index. The numerical simulation results confirm the adequacy and efficiency of the proposed approach. Automating the selection process of the computational parameters makes it possible to eliminate human errors and avoid excessive consumption of computational resources.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mesh Optimization for the Acoustic Parabolic Equation

Lytaev

2023

JMSE

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Computational Grid Optimization for the 3D Higher-Order Parabolic Equation

Lytaev

2023

Lecture Notes in Computer Science

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Coupled-Mode Parabolic Equations for the Modeling of Sound Propagation in a Shallow-Water Waveguide with Weak Elastic Bottom

Kozitskiy

2022

JMSE

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In this work, a mode parabolic equation method with interacting modes accounting for the weak elasticity at the bottom is developed. An important feature of the proposed method is that computations of elastic modes are avoided and that the solution is obtained in the form of expansion over acoustic modes. A numerical technique for solving resulting mode parabolic equations is developed, and the accuracy and efficiency of the resulting solution is validated by a direct comparison against source image solutions in the 3D wedge benchmark problem. Satisfactory agreement of the two solutions is achieved for sufficiently small values of shear wave speed that are typical for soft sediments of the sea bottom. The developed approach may be used for solving 3D problems of sound propagation with the elastic properties of bottom sediments taken into account.

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Modeling Techniques for Underwater Acoustic Scattering and Propagation (Including 3D Effects)

Abstract: Almost three years have passed since the publication of the first Special Issue on three-dimensional underwater acoustics in 2019 [...]

Cited by 3 publications

References 15 publications

Mesh Optimization for the Acoustic Parabolic Equation

Mesh Optimization for the Acoustic Parabolic Equation

Computational Grid Optimization for the 3D Higher-Order Parabolic Equation

Coupled-Mode Parabolic Equations for the Modeling of Sound Propagation in a Shallow-Water Waveguide with Weak Elastic Bottom

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