Wave forces on a floating structure over flat bottom based on Boussinesq formulation

Mohapatra, Soudamini; Soares, C. Guedes

doi:10.1201/b18973-48

Cited by 5 publications

(4 citation statements)

References 4 publications

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“…Applying Boussinesq models, Mohapatra and Guedes [158,159] also decompose the computational domain to "inner" and "outer" domains to handle the region under the hull and the free surface regions, respectively. In [158] the Boussinesq models are used to assess floating barge type marine renewable energy devices in coastal regions and in [159] to investigate the wave diffraction from a floating fixed vertical cylinder, compared against RANS and experimental data.…”

Section: Shallow-water Equationsmentioning

confidence: 99%

Efficient Nonlinear Hydrodynamic Models for Wave Energy Converter Design—A Scoping Study

Davidson

Costello²

2020

JMSE

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This review focuses on the most suitable form of hydrodynamic modeling for the next generation wave energy converter (WEC) design tools. To design and optimize a WEC, it is estimated that several million hours of operation must be simulated, perhaps one million hours of WEC simulation per year of the R&D program. This level of coverage is possible with linear potential flow (LPF) models, but the fidelity of the physics included is not adequate. Conversely, while Reynolds averaged Navier–Stokes (RANS) type computational fluid dynamics (CFD) solvers provide a high fidelity representation of the physics, the increased computational burden of these models renders the required amount of simulations infeasible. To scope the fast, high fidelity options, the present literature review aims to focus on what CFD theories exist intermediate to LPF and RANS as well as other modeling options that are computationally fast while retaining higher fidelity than LPF.

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Section: Shallow-water Equationsmentioning

confidence: 99%

Efficient Nonlinear Hydrodynamic Models for Wave Energy Converter Design—A Scoping Study

Davidson

Costello²

2020

JMSE

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“…Using a three-dimensional numerical model in deep water, the free surface elevations and wave forces around a floating truncated vertical cylinder were studied [5] and the results were compared against analytical and experimental data. Using the eigenmode expansion method, the wave force analysis on a floating barge was studied [6] based on Boussinesq type-equations. Under hydrostatic assumptions, the dynamics of floating structures was studied [1] through an analytical solution based on non-linear BEs and shallow water equations.…”

Section: Introductionmentioning

confidence: 99%

Boussinesq Model and CFD Simulations of Non-Linear Wave Diffraction by a Floating Vertical Cylinder

Mohapatra

Islam

Soares

2020

JMSE

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A mathematical model for the problem of wave diffraction by a floating fixed truncated vertical cylinder is formulated based on Boussinesq equations (BEs). Using Bessel functions in the velocity potentials, the mathematical problem is solved for second-order wave amplitudes by applying a perturbation technique and matching conditions. On the other hand, computational fluid dynamics (CFD) simulation results of normalized free surface elevations and wave heights are compared against experimental fluid data (EFD) and numerical data available in the literature. In order to check the fidelity and accuracy of the Boussinesq model (BM), the results of the second-order super-harmonic wave amplitude around the vertical cylinder are compared with CFD results. The comparison shows a good level of agreement between Boussinesq, CFD, EFD, and numerical data. In addition, wave forces and moments acting on the cylinder and the pressure distribution around the vertical cylinder are analyzed from CFD simulations. Based on analytical solutions, the effects of radius, wave number, water depth, and depth parameters at specific elevations on the second-order sub-harmonic wave amplitudes are analyzed.

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“…In Cao and Zhao [8], a Computational fluid dynamics (CFD) numerical method was used to study nonlinear dynamic behaviors of a two-dimensional box-shaped floating structure in focused waves. Mohapatra and Soares [9] used linearized Boussinesq equations to study the wave forces acting on a floating structure over a flat bottom. Kao et al [10] used a boundary element method to solve the problem of floating structures subjected to incident waves.…”

Section: Introductionmentioning

confidence: 99%

Mooring Drag Effects in Interaction Problems of Waves and Moored Underwater Floating Structures

Chen

Lee

2020

JMSE

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In contrast to either considering structures with full degrees of freedom but with wave force on mooring lines neglected or with wave scattering and radiation neglected, in this paper, a new analytic solution is presented for wave interaction with moored structures of full degrees of freedom and with wave forces acting on mooring lines considered. The linear potential wave theory is applied to solve the wave problem. The wave fields are expressed as superposition of scattering and radiation waves. Wave forces acting on the mooring lines are calculated using the Morison equation with relative motions. A coupling formulation among water waves, underwater floating structure, and mooring lines are presented. The principle of energy conservation, as well as numerical results, are used to verify the present solution. With complete considerations of interactions among waves and moored structures, the characteristics of motions of the structure, the wave fields, and the wave forces acting on the mooring lines are investigated.

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Wave forces on a floating structure over flat bottom based on Boussinesq formulation

Cited by 5 publications

References 4 publications

Efficient Nonlinear Hydrodynamic Models for Wave Energy Converter Design—A Scoping Study

Efficient Nonlinear Hydrodynamic Models for Wave Energy Converter Design—A Scoping Study

Boussinesq Model and CFD Simulations of Non-Linear Wave Diffraction by a Floating Vertical Cylinder

Mooring Drag Effects in Interaction Problems of Waves and Moored Underwater Floating Structures

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