HOS-ocean: Open-source solver for nonlinear waves in open ocean based on High-Order Spectral method

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

doi:10.1016/j.cpc.2016.02.017

Cited by 125 publications

(82 citation statements)

References 25 publications

(38 reference statements)

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“…The main difference between the given model and HOS model (Ducroset et al, 2016) is that our model is based on a direct solution of the 3-D equations for the velocity potential. This approach is similar to that developed at the Technical University of Denmark (TUD; see Engsig-Karup et al, 2009). Actually, the models developed at TUD are targeted at 466 D. Chalikov: Numerical modeling of surface wave development under the action of wind Figure 12.…”

Section: Discussionmentioning

confidence: 99%

“…Second, a direct model can be used in future for the numerical simulation of wave processes in the basins of small and medium size. These investigations can be based on the HOS model (Ducrozet et al, 2016) or the model used in the current paper. However, the most universal approach seems to be developed at the Technical University of Denmark (see EngsigKarup, 2009).…”

Section: Chalikov: Numerical Modeling Of Surface Wave Developmentmentioning

confidence: 99%

“…Opposite to the HOS method based on the analytical solution of the Laplace equation in Cartesian coordinates, a group of models is based on a direct solution of the equation for the velocity potential in the curvilinear coordinates (Engsig-Karup et al, 2009. The main advantage of a surface-following coordinate system is that a variable surface is mapped onto the fixed plane.…”

Section: Introductionmentioning

confidence: 99%

“…Since the wave motion is very conservative, the highly accurate numerical schemes should be used for a good description of the nonlinearity and spectrum transformation. This most universal approach is being developed at the Technical University of Denmark (TUD) (see Engsig-Karup, 2009). Actually, the models ModelWave3D developed at TUD are targeted at the solution of a variety of problems, including such problems as the modeling of wave interaction with submerged objects as well as the simulation of wave regime in basins with a real shape and topography.…”

Section: Introductionmentioning

confidence: 99%

“…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%

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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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Section: Discussionmentioning

confidence: 99%

Section: Chalikov: Numerical Modeling Of Surface Wave Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical modeling of surface wave development under the action of wind

Chalikov

2018

Ocean Sci.

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HOS Simulations of Nonlinear Water Waves in Complex Media

Guyenne

2019

Nonlinear Water Waves

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Nonlinear deformations of a two-dimensional gas bubble are investigated in the framework of a Hamiltonian formulation involving surface variables alone. The Dirichlet-Neumann operator is introduced to accomplish this dimensional reduction and is expressed via a Taylor series expansion. A recursion formula is derived to determine explicitly each term in this Taylor series up to an arbitrary order of nonlinearity. Both analytical and numerical strategies are proposed to deal with this nonlinear free-boundary problem under forced or freely oscillating conditions. Simplified models are established in various approximate regimes, including a Rayleigh-Plesset equation for the time evolution of a purely circular pulsating bubble, and a second-order Stokes wave solution for weakly nonlinear shape oscillations that rotate steadily on the bubble surface. In addition, a numerical scheme is developed to simulate the full governing equations, by exploiting the efficient and accurate treatment of the Dirichlet-Neumann operator via the fast Fourier transform. Extensive tests are conducted to assess the numerical convergence of this operator as a function of various parameters. The performance of this direct solver is illustrated by applying it to the simulation of cycles of compression-dilatation for a purely circular bubble under uniform forcing, and to the computation of freely evolving shape distortions represented by steadily rotating waves and time-periodic standing waves. The former solutions are validated against predictions by the Rayleigh-Plesset model, while the

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Water Waves

Moctar¹,

Schellin²

2021

Numerical Methods for Seakeeping Problems

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HOS-ocean: Open-source solver for nonlinear waves in open ocean based on High-Order Spectral method

Cited by 125 publications

References 25 publications

Numerical modeling of surface wave development under the action of wind

Numerical modeling of surface wave development under the action of wind

HOS Simulations of Nonlinear Water Waves in Complex Media

Water Waves

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