Wave interaction with an elliptic disc submerged in a two-layer fluid

Das, Arijit; De, Soumen

doi:10.1016/j.apm.2023.01.016

Cited by 4 publications

(1 citation statement)

References 32 publications

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“…The hydrodynamic characteristics of these structures possess both academic and practical value, leading to an increasing number of studies in recent years with an engineering purpose. For example, Wang and Yeung (2019) developed a hybrid integral-equation method for point-absorber WECs; and investigated the structural performance of porous cylinders on a porous seabed; Das et al (2022Das et al ( , 2023 studied the behavior of discs submerged in two-and three-layer fluids; Porter (2015) proposed an efficient method for wave radiation and diffraction by circular plates, and this work has been extended to permeable plates in an array by Zheng et al (2023) and and to nearly circular plates by Farina et al (2017).…”

Section: Introductionmentioning

confidence: 99%

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

2023

Physics of Fluids

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Axisymmetric geometries, such as cylindrical elements, are widely used in offshore structures. However, the presence of sharp edges in these geometries introduces challenges in numerical simulations due to singularities. To address this issue, one possible solution is to represent the singularities using analytic eigenfunctions. This approach can provide insights into the essence of the problem and has successfully applied to two-dimensional (2D) corner problems. However, finding appropriate eigenfunctions for the three-dimensional (3D) edges remains an open challenge. This paper proposes a semi-analytic scheme for 3D axisymmetric problems utilizing a scaled boundary finite element method (SBFEM). A dimensional reduction is introduced to the 3D Laplace equation, and a 3D edge is handled on the generatrix plane while governed by a complicated equation. The algorithm for resolving the SBFEM fundamental space is improved, and the singularities are approximated using a fractional-order basis. The effectiveness of the proposed method is demonstrated through its application to solve the radiation problem of a heaving cylinder. The method accurately captures the singular velocity field at the edge tip, ensuring that the boundary condition on the body surface is strictly satisfied in the neighborhood of the singularity. Accuracy of the mean drift force is ensured by performing direct pressure integrations over the body surface using a near-field formulation, which becomes as accurate as the middle-field formulation.

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Section: Introductionmentioning

confidence: 99%

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

2023

Physics of Fluids

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Hydrodynamic response of a submerged elliptic disc to surface water waves

Hoque,

Farina,

Datta

et al. 2025

Applied Ocean Research

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A numerical study of the influence of the wave reflection on the hydrodynamic characteristics of a cylinder with moonpool

Han,

Zhang

2024

Physics of Fluids

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We develop a new numerical model based on eigenfunction matching method and the method of images to investigate the influence of tank wall reflection on the hydrodynamic behaviors of a cylinder with moonpool, which is defined as an opening from the deck to the bottom of a floating structure or ship. The new numerical model is first validated by comparing its results to experimental data in the existing literature and WaveAnalysisMIT results and then is used to analyze the effects of different tank widths on the heave radiation and diffraction problems. When the tank is not too narrow, the results only show a significant difference from those in open water around the transverse sloshing frequencies of the tank, i.e., when the tank width is an integer times the wavelength. It is noticed that the reflection effects induce spikes of the amplitude of free-surface elevations at the center of the moonpool in the radiation problem but induce troughs in the diffraction problem. This is explained by estimating the phase of the waves in moonpool induced by the wall reflections. For the narrow tank that does not allow transverse sloshing in the given frequencies, the results deviate from those in open water in a width range of frequencies. The free-surface elevations outside the cylinder are also investigated.

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Wave interaction with an elliptic disc submerged in a two-layer fluid

Cited by 4 publications

References 32 publications

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

Semi-analytic solutions to edge singularities of three-dimensional axisymmetric bodies

Hydrodynamic response of a submerged elliptic disc to surface water waves

A numerical study of the influence of the wave reflection on the hydrodynamic characteristics of a cylinder with moonpool

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