Radiation of water waves by a heaving submerged disc in a three-layer fluid

Das, Arijit; De, Soumen

doi:10.1016/j.jfluidstructs.2022.103575

Cited by 3 publications

(1 citation statement)

References 37 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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Wave radiation by a horizontal circular cylinder in a three-layer fluid

Ghosh

Das

2023

Geophysical & Astrophysical Fluid Dynamics

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Numerical Analysis of Propeller Wake Evolution under Different Advance Coefficients

Yu²,

Li³

et al. 2023

JMSE

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Propeller wake fields in an open-water configuration were compared between two loading circumstances using large-eddy simulation (LES) with a computational domain of 48 million grids and an overset mesh technique. To validate the results of the numerical simulation, available experimental data are compared, which indicates that the grid systems are suitable for the present study. The results indicate that the present LES simulations describe the inertial frequency range well for both high and low-loading conditions. Under high-loading conditions, the interlaced spirals and secondary vortices that connect adjacent tip vortices amplify the effects of mutual inductance, ultimately triggering the breakdown of the propeller wake systems. At a great distance from the propeller, the vortex system loses all coherence and turns into a collection of smaller vortices that are equally scattered across the wake. In contrast, under light-loading conditions, the wake vortex system exhibits strong coherence and has a relatively simple topology. The elliptic instability and pairing processes are only observed at a far distance from the propeller. The convection velocity transferring tip vortices downstream is larger under the light-loading condition, which leads to the larger pitch of the helicoidal vortices. The larger pitch weakens the mutual inductance or interaction effects among tip vortices, which delays the instability behaviors of the whole vortex system. The results and implications of this study serve as a guide for the development and improvement of next-generation propellers that function optimally when operating behind aquaculture vessels.

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Radiation of water waves by a heaving submerged disc in a three-layer fluid

Cited by 3 publications

References 37 publications

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

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

Wave radiation by a horizontal circular cylinder in a three-layer fluid

Numerical Analysis of Propeller Wake Evolution under Different Advance Coefficients

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