Time Domain Simulation of Nonlinear Water Waves Using Spectral Methods

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

doi:10.1142/9789812836502_0004

Cited by 43 publications

(56 citation statements)

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“…This HOS model demonstrates its accuracy and efficiency (see [7,17]). It has been validated on several test cases: propagation of highly nonlinear regular and irregular waves and study of wave-wave interactions (with application to the formation of freak waves).…”

Section: High-order Spectral Modelmentioning

confidence: 74%

“…The same study as in the previous paragraph is made with the HOS model, and corresponding optimal results are presented in Table III. This is due to the time integration process which is chosen to be fourth-order Runge-Kutta scheme here for consistency with OceanWave3D, instead of fourth-order Runge-Kutta Cash-Karp scheme with adaptive step size in [17]. We indicate that a similar study has been made in Bonnefoy et al [17] with slightly better results in terms of phase shift.…”

mentioning

confidence: 67%

“…x, Á, t/ in the free-surface boundary conditions is performed thanks to the order-consistent HOS scheme of West et al [2]. Note that in this process, it is crucial to perform a careful dealiasing to preserve the method convergence and accuracy for waves close to Stokes' limit [17]. First, the potential is expressed as a truncated power series of components .m/ for m D 0 to M , each component being of magnitude Á m .…”

Section: High-order Spectral Modelmentioning

confidence: 99%

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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: 74%

mentioning

confidence: 67%

Section: High-order Spectral Modelmentioning

confidence: 99%

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

Ducrozet

Bingham

Engsig-Karup

et al. 2011

Numerical Methods in Fluids

Self Cite

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show abstract

“…It includes a finite-difference method (Engsig-Karup et al, 2009, a finite-volume method (Causon et al, 2010), a finite-element method (Ma and Yan, 2010;Greaves, 2010), a boundary (integral) element method (Grue and Fructus, 2010), and spectral methods (Ducroset et al, 2007(Ducroset et al, , 2012(Ducroset et al, , 2016Touboul and Kharif, 2010;Bonnefoy et al, 2010). These include a smoothed-particle hydrodynamics method (Dalrymple et al, 2010), a large-eddy simulation (LES) method (Issa et al, 2010;Lubin and Caltagirone, 2010), a moving particle semi-implicit method (Kim et al, 2014), a constrained interpolation profile method (Zhao, 2016), a method of fundamental solutions and a meshless local Petrov-Galerkin method (Ma and Yan, 2010).…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of surface wave development under the action of wind

Chalikov

2018

Ocean Sci.

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Abstract. The numerical modeling of two-dimensional surface wave development under the action of wind is performed. The model is based on three-dimensional equations of potential motion with a free surface written in a surfacefollowing nonorthogonal curvilinear coordinate system in which depth is counted from a moving surface. A threedimensional Poisson equation for the velocity potential is solved iteratively. A Fourier transform method, a secondorder accuracy approximation of vertical derivatives on a stretched vertical grid and fourth-order Runge-Kutta time stepping are used. Both the input energy to waves and dissipation of wave energy are calculated on the basis of earlier developed and validated algorithms. A one-processor version of the model for PC allows us to simulate an evolution of the wave field with thousands of degrees of freedom over thousands of wave periods. A long-time evolution of a twodimensional wave structure is illustrated by the spectra of wave surface and the input and output of energy.

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“…The software is distributed under the terms of the GNU General Public License. The description of the model can be found in [11,12].…”

Section: Hos-nwt (éCole Centrale De Nantes)mentioning

confidence: 99%

Numerical Simulation of Nonlinear Free Surface Water Waves Using a Coupled Potential Flow-Urans/Vof Approach

Düz¹,

Bunnik²,

Kapsenberg³

2016

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

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Keywords: Nonlinear free surface water waves, One-way coupling of potential and viscous flow models, Focusing wave events, Waves on sloping bottom, Survey on wave models.Abstract. This paper first presents a comparison particularly in terms of accuracy between four nonlinear potential flow models for simulation of nonlinear free surface water waves. The performance of the wave models is compared in five test cases in 2D for which measurement data was also available. Three cases involved wave groups propagating over a flat bottom and producing a focusing event, and two cases involved irregular waves propagating over sloping bottom. After the comparison study, one of the potential flow solvers was selected for one-way coupling with a viscous flow solver. Details of this coupling are presented along with some information about the viscous flow solver in question. Here strong suits of both solvers are utilized to simulate nonlinear water waves in an accurate and efficient manner. Even though only simulating nonlinear waves is discussed in the paper, this work was considered as a stepping stone to later focus on hydrodynamic wave loading on structures and wave-structure interaction using this coupling. In the end results showed that such a coupling can indeed be a valuable tool to study wave motion. In all the simulations, comparison with the measurements demonstrated good agreement, and the convergence behavior of the coupled solver was acceptable.

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Time Domain Simulation of Nonlinear Water Waves Using Spectral Methods

Cited by 43 publications

References 0 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

Numerical modeling of surface wave development under the action of wind

Numerical Simulation of Nonlinear Free Surface Water Waves Using a Coupled Potential Flow-Urans/Vof Approach

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