A novel algorithm to solve for an underwater line source sound field based on coupled modes and a spectral method

Tu, Houwang; Wang, Yongxian; Chao, Yang; Wang, Xiaodong; Ma, Shaoping; Xiao, Wenbin; Liu, Wei

doi:10.1016/j.jcp.2022.111478

Cited by 15 publications

(3 citation statements)

References 21 publications

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“…The spectral method is a high precision method for solving differential equations, and it also plays an important role in promoting the calculation of underwater acoustic field. Tu et al (2022) used spectral method and coupled modes to solve the acoustic field of underwater linear source. In this paper, Chebyshev-Tau spectral method was used to solve the horizontal wave number of irrelevant segments in the approximate range, and a global matrix was constructed to solve the coupling coefficient of the acoustic field and synthesize the complete acoustic field.…”

Section: Introductionmentioning

confidence: 99%

Research on underwater acoustic field prediction method based on physics-informed neural network

Du,

Wang,

et al. 2023

Front. Mar. Sci.

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In the field of underwater acoustic field prediction, numerical simulation methods and machine learning techniques are two commonly used methods. However, the numerical simulation method requires grid division. The machine learning method can only sometimes analyze the physical significance of the model. To address these problems, this paper proposes an underwater acoustic field prediction method based on a physics-informed neural network (UAFP-PINN). Firstly, a loss function incorporating physical constraints is introduced, incorporating the Helmholtz equation that describes the characteristics of the underwater acoustic field. This loss function is a foundation for establishing the underwater acoustic field prediction model using a physics-informed neural network. The model takes the coordinate information of the acoustic field point as input and employs a fully connected deep neural network to output the predicted values of the coordinates. The predicted value is refined using the loss function with physical information, ensuring the trained model possesses clear physical significance. Finally, the proposed prediction model is analyzed and validated in two dimensions: the two-dimensional acoustic field and the three-dimensional acoustic field. The results show that the mean square error between the prediction and simulation values of the two-dimensional model is only 0.01. The proposed model can effectively predict the distribution of the two-dimensional underwater sound field, and the model can also predict the sound field in the three-dimensional space.

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Section: Introductionmentioning

confidence: 99%

Research on underwater acoustic field prediction method based on physics-informed neural network

Du,

Wang,

et al. 2023

Front. Mar. Sci.

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“…As we all know, nonlinear evolution equations have numerous physical applications, involving a wide range of fields, including plasma physics, fluid mechanics, nonlinear optics, biology, information and so on [1][2][3][4][5]. Therefore, the study of nonlinear evolution equation emerges one after another.…”

Section: Introductionmentioning

confidence: 99%

“…However, (1) does not apply to all nonlinear equations. Chen [25] extended this method and gave a more convenient expression:…”

Section: Introductionmentioning

confidence: 99%

Novel y-type and hybrid solutions for the $$(2+1)$$-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Gao

Deng

2022

Nonlinear Dyn

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In this paper, the research object is (2+1)-dimensional KdVSKR equation. After adding new constraint, new solutions which contain y-type molecules are obtained. The process of lump molecules and y-type molecules before and after the collision is studied by long-wave limit method, and the kinetic behavior analysis is given. The interactions between y-type molecules and resonant soliton molecules, y-type molecules and breather molecules are obtained by combining velocity resonance method and mode resonance method, respectively. Finally, a novel hybrid solution containing lump molecule, breather molecule and y-type molecule is given, and the kinetic behavior is shown.

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Application of a spectral method to simulate quasi-three-dimensional underwater acoustic fields

Wang

Liu

et al. 2023

Journal of Sound and Vibration

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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 15 publications

References 21 publications

Research on underwater acoustic field prediction method based on physics-informed neural network

Research on underwater acoustic field prediction method based on physics-informed neural network

Novel y-type and hybrid solutions for the $$(2+1)$$-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation

Application of a spectral method to simulate quasi-three-dimensional underwater acoustic fields

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