A modified High-Order Spectral method for wavemaker modeling in a numerical wave tank

Ducrozet, Guillaume; Bonnefoy, Félicien; Touzé, David Le; Ferrant, P.

doi:10.1016/j.euromechflu.2012.01.017

Cited by 150 publications

(108 citation statements)

References 20 publications

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“…It has to be noted that a numerical wave tank has also been designed with HOS method, thus accounting for reflective condition in the horizontal directions (see Ducrozet et al [15,16]). A similar basis based only on the horizontal coordinates is used for the free-surface elevation Á and surface velocity potential e .…”

Section: High-order Spectral Modelmentioning

confidence: 99%

A comparative study of two fast nonlinear free‐surface water wave models

Ducrozet

Bingham

Engsig-Karup

et al. 2011

Numerical Methods in Fluids

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SUMMARY This paper presents a comparison in terms of accuracy and efficiency between two fully nonlinear potential flow solvers for the solution of gravity wave propagation. One model is based on the high‐order spectral (HOS) method, whereas the second model is the high‐order finite difference model OceanWave3D. Although both models solve the nonlinear potential flow problem, they make use of two different approaches. The HOS model uses a modal expansion in the vertical direction to collapse the numerical solution to the two‐dimensional horizontal plane. On the other hand, the finite difference model simply directly solves the three‐dimensional problem. Both models have been well validated on standard test cases and shown to exhibit attractive convergence properties and an optimal scaling of the computational effort with increasing problem size. These two models are compared for solution of a typical problem: propagation of highly nonlinear periodic waves on a finite constant‐depth domain. The HOS model is found to be more efficient than OceanWave3D with a difference dependent on the level of accuracy needed as well as the wave steepness. Also, the higher the order of the finite difference schemes used in OceanWave3D, the closer the results come to the HOS model. Copyright © 2011 John Wiley & Sons, Ltd.

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Section: High-order Spectral Modelmentioning

confidence: 99%

A comparative study of two fast nonlinear free‐surface water wave models

Ducrozet

Bingham

Engsig-Karup

et al. 2011

Numerical Methods in Fluids

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“…Future work will characterize the influence of initial JONSWAP amplitudes, mode phases as well as spectral parameters α and γ, which have a significant influence when interacting with NLSE breathers in the described approach. Numerical simulations based on more accurate evolution equations, such as the higher-order spectral method [34,35], may characterize the limitations of the approach as well as reveal new insights to the problem, taking into account that the latter are much faster to perform compared to laboratory experiments. This study also discloses that characteristic breather spectral properties in physical domain [36] as well as in the IST plane [2,37] are indeed promising features that can be applied for the sake of accurate deterministic extreme event detection.…”

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confidence: 99%

Tracking Breather Dynamics in Irregular Sea State Conditions

Chabchoub

2016

Phys. Rev. Lett.

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Breather solutions of the nonlinear Schrödinger equation (NLSE) are known to be considered as backbone models for extreme events in the ocean as well as in Kerr media. These exact determinisitic rogue wave (RW) prototypes on a regular background describe a wide-range of modulation instability configurations. Alternatively, oceanic or electromagnetic wave fields can be of chaotic nature and it is known that RWs may develop in such conditions as well. We report an experimental study confirming that extreme localizations in an irregular oceanic JONSWAP wave field can be tracked back to originate from exact NLSE breather solutions, such as the Peregrine breather. Numerical NLSE as well as modified NLSE simulations are both in good agreement with laboratory experiments and highlight the significance of universal weakly nonlinear evolution equations in the emergence as well as prediction of extreme events in nonlinear dispersive media.Ocean extreme waves, also referred to as freak or rogue waves (RWs), are known to appear without warning and having disastrous impact, in consequence of the substantial large wave heights these can reach [1,2]. Studies on RWs attracted the scientific interest recently due to the interdisciplinary nature of the modulation instability (MI) of weakly nonlinear waves [3][4][5] as well as for the sake of accurate modeling and prediction of these mysterious extremes [6][7][8][9]. Indeed, exact solutions of the nonlinear Schrödinger equation (NLSE) provide backbone models that can be used to describe RWs, providing therefore deterministic numerical and laboratory prototypes to reveal novel insights of MI [10]. Within the vast range of pulsating NLSE solutions on finite background, there is one prominent candidate that is known to have similar physical properties as ocean RWs, namely, the doubly-localized Peregrine breather (PB) [11,12]. Despite the fact that it is theoretically assumed that the modulation period of the PB is infinite, laboratory observations confirmed that a finite number of waves in the background is sufficient to initiate its dynamics in nonlinear dispersive media [13][14][15]. These observations also proved that extreme localizations can be indeed discussed by means of the NLSE, despite violation of the theoretical assumption of the wave field to be or remain narrow-banded.Based on this latest progress, it is reasonable to study the dynamics of breathers, assuming irregularity of the underlying wave field in order to quantify limitations of the approach and to enlarge the scope of possible applications such as in oceanography. In fact, ocean waves' motion can be narrow-banded, such as in the case of swell. However, when winds, currents and wave breaking are at play, the wave field may experience strong irregularities, a state that limits applicability of the NLSE. Nevertheless, recent laboratory experiments showed the persistence of the PB in the presence of strong wind [16] and therefore its physical robustness to perturbations. To the best of our knowledge, the emergence o...

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“…These models have been applied to simulated tsunami generation and [1] overturning waves [2][3][4], to design breakwaters [5,6], to predict the wave pressure impact on structures [7], or to study radiation and diffraction waves produced by a wave-maker [8][9][10][11]. Nowadays, because of the increasing interest on the ocean renewable energy, in which the generation systems are installed near-shore or off-shore, new applications of such models are being used to study the fluid-structure interaction considering the effect of the waves [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

A 3d Isogeometrical Boundary Element Analysis for Non-Linear Gravity Wave Propagation

Maestre¹,

Pallarès²,

Cuesta³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. In this paper we describe a three-dimensional Isogeometric BEM in the time domain based on the T-spline and Non Uniform Rational B-Splines (NURBS) basis to study the free surface behavior. Traditionally, the Lagrange polynomials have been used to discretize the geometry and the BEMs variables. The Lagrange basis are discontinues across the elements although the physical variables are continuous. In dynamics problems with high mesh distortions this approach can produce numerical instabilities that can be quickly propagated. This problem could be overcome using T-spline or NURB basis. The main advantages of this approach are: (1) the control of the continuity and smoothness of the T-spline and NURBS basis, which makes the model numerically stable without the need of artificial smooth techniques;(2) the high order geometrical approximation by non-rational splines;(3) the refinement capabilities without affecting the geometry and BEM's variables; and (4) the direct integration with computer aid geometrical design tools. We use the concept of the Bézier extraction operation which provides an element point of view of the T-Spline and NURBS similar to the traditional finite element. The boundary integral Equation is solved at each time step by the GMRES algorithm and the time marching scheme is performed with a fourth-order Runge-Kutta method to update the model. Additionally, the hydrodynamic force is calculated by an auxiliary boundary equation. Some numerical benchmark examples are analysed to show the accuracy and the stability of the method 7967 J. Maestre, J. Pallarés and I. Cuesta

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A modified High-Order Spectral method for wavemaker modeling in a numerical wave tank

Cited by 150 publications

References 20 publications

A comparative study of two fast nonlinear free‐surface water wave models

A comparative study of two fast nonlinear free‐surface water wave models

Tracking Breather Dynamics in Irregular Sea State Conditions

A 3d Isogeometrical Boundary Element Analysis for Non-Linear Gravity Wave Propagation

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