Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank

Wu, G.X.; Hu, Zheng

doi:10.1098/rspa.2004.1302

Cited by 87 publications

(57 citation statements)

References 12 publications

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“…In order to reduce the time spent on the remeshing, simple structured mesh has been used in [11] and [12]. For the same purpose, Wu et al [22] have recently employed a hybrid mesh. In their approach, a 2D mesh in a horizontal plane (say, the free surface at t=0) is first generated and then vertical lines are drawn to construct a 3D mesh.…”

Section: Introductionmentioning

confidence: 99%

Quasi ALE finite element method for nonlinear water waves

W.¹,

Yan²

2006

Journal of Computational Physics

100

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Permanent repository link: AbstractThis paper presents a newly developed quasi arbitrary Lagrangian-Eulerian finite element method (QALE-FEM) for simulating water waves based on fully nonlinear potential theory. The main difference of this method from the conventional finite element method developed by one of authors of this paper and others (see, e.g., [11] and [22]) is that the complex mesh is generated only once at the beginning and is moved at all other time steps in order to conform to the motion of the free surface and structures. This feature allows one to use an unstructured mesh with any degree of complexity without the need of regenerating it every time step, which is generally inevitable and very costly. Due to this feature, the QALE-FEM has high potential in enhancing computational efficiency when applied to problems associated with the complex interaction between large steep waves and structures since the use of an unstructured mesh in such a case is likely to be necessary. To achieve overall high efficiency, the numerical techniques involved in the QALE-FEM are developed, including the method to move interior nodes, technique to re-distribute the nodes on the free surface, scheme to calculate velocities and so on. The model is validated by water waves generated by a wavemaker in a tank and the interaction between water waves and periodic bars on the bed of tank. Satisfactory agreement is achieved with analytical solutions, experimental data and numerical results from other methods.

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Section: Introductionmentioning

confidence: 99%

Quasi ALE finite element method for nonlinear water waves

W.¹,

Yan²

2006

Journal of Computational Physics

100

View full text Add to dashboard Cite

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“…As an alternative, the tangential velocity at waterline nodes is estimated by using a three-point method similar to Eq. (27). The normal line required by Eq.…”

Section: Calculations Of Fluid Velocity On the Surface Of The Floatinmentioning

confidence: 99%

“…All of them used the BEMs. Recently, Wu & Hu modelled the interaction between waves and a 3D cylindrical FPSO-like structure ( [27]) in which the FEM was applied.…”

Section: Introductionmentioning

confidence: 99%

“…To reduce the CPU time spent on updating the mesh, a simple structured mesh was used in [5]- [6] and [16]- [18]. Wu & Hu [27] recently developed a hybrid mesh for the same purpose but it was restricted only to cylindrical structures without rotational motions because of the limitation of the mesh structure. The problem associated with mesh has become a bottleneck in the development of efficient methods dealing with the interaction between water waves and freely floating bodies.…”

Section: Introductionmentioning

confidence: 99%

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Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

Yan

2007

Journal of Computational Physics

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This is the accepted version of the paper.This version of the publication may differ from the final published version. based on a fully nonlinear potential theory, which was recently developed by the authors ([1], [2]), to deal with the fully nonlinear interaction between steep waves and 2D floating bodies. In the QALE-FEM method, complex unstructured mesh is generated only once at the beginning of calculation and is moved to conform to the motion of boundaries at other time steps, avoiding the necessity of high cost remeshing. In order to tackle challenges associated with floating bodies, several new numerical techniques are developed in this paper. These include the technique for moving mesh near and on body surfaces, the scheme for estimating the velocities and accelerations of bodies as well as the forces on them, the method for evaluating the fluid velocity on the surface of bodies and the technique for shortening the transient period. Using the developed techniques and methods, various cases associated with the nonlinear interaction between waves and floating bodies are numerically simulated. Permanent repository linkFor some cases, the numerical results are compared with experimental data available in the public domain and good agreement is achieved.

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“…They mainly include the direct method (solving the velocity in a similar way to the velocity potential) developed by Wu & Eatock Taylor [57] and followed by Wang & Wu [62] , Wang, Wu & Drake [63], the finite difference method [64][65], the three-point method suggested by Ma, Wu & Eatock Taylor [58] (see, also [66]) and the cubic spline method suggested by Sriram, Sannasiraj & Sundra [67]. Only the direct method and the three-point method have been employed for 3D nonlinear water waves in those papers.…”

Section: Introductionmentioning

confidence: 99%

QALE‐FEM for modelling 3D overturning waves

Yan

2009

Numerical Methods in Fluids

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This is the accepted version of the paper.This version of the publication may differ from the final published version. based on a fully nonlinear potential theory is presented in this paper. This development enables the QALE-FEM to deal with 3D (three dimensional) overturning waves over complex seabeds, which have not been considered since the method was devised by the authors of this paper in their previous works [1][2]. In order to tackle challenges associated with 3D overturning waves, two new numerical techniques are suggested. Permanent repository linkThey are the techniques for moving the mesh and for calculating the fluid velocity near overturning jets, respectively. The developed method is validated by comparing its numerical results with experimental data and results from other numerical methods available in the literature. Good agreement is achieved. The computational efficiency of this method is also investigated for this kind of wave, which shows that the QALE-FEM can be many times faster than other methods based on the same theory. Furthermore, 3Doverturning waves propagating over a non-symmetrical seabed or multiple reefs are simulated using the method. Some of these results have not been found elsewhere to the best of our knowledge.

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Simulation of nonlinear interactions between waves and floating bodies through a finite-element-based numerical tank

Cited by 87 publications

References 12 publications

Quasi ALE finite element method for nonlinear water waves

Quasi ALE finite element method for nonlinear water waves

Numerical simulation of fully nonlinear interaction between steep waves and 2D floating bodies using the QALE-FEM method

QALE‐FEM for modelling 3D overturning waves

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