Direct numerical simulation of acoustic wave propagation in ocean waveguides using a parallel finite volume solver

Spectral methods are a new and niche numerical discretization method with the main characteristic of high accuracy. Spectral methods have been applied in many fields of engineering numerical simulation. Since their introduction into ocean acoustics in 1993, spectral methods have made significant progress in computational ocean acoustics. This article systematically introduces the basic principles of spectral methods, their applicable conditions, and their applications and developments in the normal mode model, the wavenumber integration model, the parabolic equation model, and acoustic Helmholtz equation simulations. At the same time, this article points out the shortcomings of the current application of spectral methods in computational ocean acoustics and potential research directions in the future. The aim is to provide a comprehensive research foundation for subsequent researchers and to promote the application of spectral methods in computational ocean acoustics to go further and deeper.

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An adaptive gradient correction method based on mesh skewness for finite volume fluid dynamics simulations

Song,

Li,

Guo

et al. 2025

Physics of Fluids

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In unstructured mesh solvers based on the finite volume method, accurate gradient calculation is crucial for determining the accuracy of equations. However, most mainstream computational fluid dynamics (CFD) software offer only uncorrected or globally corrected gradient options, which do not take into account local geometric characteristics. This limitation hampers computational efficiency and accuracy, especially in complex geometries, leading to poor convergence or even divergence, thus constraining its practical application in real-world engineering problems. To address these issues, this paper presents an adaptive gradient correction algorithm based on mesh skewness. By analyzing the geometric characteristics of mesh cells and dynamically applying a correction value, the algorithm modifies the gradient calculation formula adaptively to reduce numerical errors and improve accuracy, while ensuring stability. The algorithm has been successfully implemented in a general-purpose CFD software and validated through complex engineering cases such as sub-channel analysis, demonstrating its practical engineering value. Results indicate that for turbulent flow through a pipe, the proposed adaptive correction algorithm achieves an improved accuracy, demonstrating high precision and superiority in capturing intricate details of turbulence. In more complex scenarios like sub-channel analysis, the adaptive correction algorithm yields an error of 2.54% compared to 4.03% for the uncorrected approach. Unlike global correction methods that may lead to computational divergence within a few iterations, the adaptive correction method consistently maintains stability, accelerates convergence, and improves accuracy, offering significant theoretical and practical value.

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Direct numerical simulation of acoustic wave propagation in ocean waveguides using a parallel finite volume solver

Cited by 4 publications

References 17 publications

A sixth-order finite difference model coupled with the matched interface and boundary method for underwater acoustic propagation simulations

A sixth-order finite difference model coupled with the matched interface and boundary method for underwater acoustic propagation simulations

A review of the application of spectral methods in computational ocean acoustics

An adaptive gradient correction method based on mesh skewness for finite volume fluid dynamics simulations

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