Solitary wave breaking on sloping beaches: 2-D two phase flow numerical simulation by SL-VOF method

Guignard, Stephan; Marcer, Richard; Rey, Vincent; Kharif, Christian; Fraunié, Philippe

doi:10.1016/s0997-7546(00)01104-3

Cited by 46 publications

(47 citation statements)

References 18 publications

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“…Extensive review on them would diverse the focus of this paper but a brief review will be given here for completeness. In the mesh based methods, finite volume methods [11][12][13][14] and finite difference methods [18][19] have been extensively used. In order to handle large domains, a multi-resolution capability and far-field boundary conditions to the regular fixed-grid NS solver have also been proposed using chimera and moving grid methods [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

A hybrid method for modelling two dimensional non-breaking and breaking waves

Sriram

Schlurmann

2014

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. Permanent repository link AbstractThis is the first paper to present a hybrid method coupling a Improved Meshless Local Petrov Galerkin method with Rankine source solution (IMLPG_R) based on the Navier Stokes (NS) equations, with a finite element method (FEM) based on the fully nonlinear potential flow theory (FNPT) in order to efficiently simulate the violent waves and their interaction with marine structures. The two models are strongly coupled in space and time domains using a moving overlapping zone, wherein the information from both the solvers is exchanged. In the time domain, the Runge-Kutta 2 nd order method is nested with a predictor-corrector scheme. In the space domain, numerical techniques including 'Feeding Particles' and two-layer particle interpolation with relaxation coefficients are introduced to achieve the robust coupling of the two models. The properties and behaviours of the new hybrid model are tested by modelling a regular wave, solitary wave and Cnoidal wave including breaking and overtopping. It is validated by comparing the results of the method with analytical solutions, results from other methods and experimental data. The paper demonstrates that the method can produce satisfactory results but uses much less computational time compared with a method based on the full NS model.

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Section: Introductionmentioning

confidence: 99%

A hybrid method for modelling two dimensional non-breaking and breaking waves

Sriram

Schlurmann

2014

Journal of Computational Physics

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“…In such cases, the potential flow theory is not valid and other tools based on Computational Fluid Dynamics (CFD) solvers to resolve the full Navier-Stokes equations or Lattice Boltzmann method (LBM) have been used [35][36][37][38][39][40]. Most of these problems have been formulated in 2D, and despite the increase of computational power, the full 3D models require a considerable computational cost.…”

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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“…Many methods, such as finite volume method (e.g. [45][46][47][48][49]), finite difference method (e.g. [50]) and CIP (Cubic interpolated propagation) method [51] have been developed for solving the NS equations.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of interaction between wind and 2D freak waves

Yan

2010

European Journal of Mechanics - B/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. Permanent repository link AbstractThis paper presents a newly developed approach for the numerical modelling of wind effects on the generation and dynamics of freak waves. In this approach, the quasi arbitrary Lagrangian-Eulerian finite element method (QALE-FEM) developed by the authors of this paper is combined with a commercial software (StarCD). The former is based on the fully nonlinear potential model, in which the wind-excited pressure is modelled using a modified Jeffreys' model (C. Kharif, et al. J. Fluid Mech. 594:209-247,2008).The latter has a volume of fluid (VOF) solver which can handle violent air-wave interaction problems. The combination can simulate the interaction between freak waves and winds with an improved computational efficiency. The numerical approach is validated by comparing its predictions with experimental data.Satisfactory agreements are achieved. Detailed numerical investigations of the interaction between winds and 2D freak waves are carried out, which not only explore different air flow states but also reveal the wind effects on the change of freak wave profiles. Both breaking and non-breaking freak waves are considered.

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Solitary wave breaking on sloping beaches: 2-D two phase flow numerical simulation by SL-VOF method

Cited by 46 publications

References 18 publications

A hybrid method for modelling two dimensional non-breaking and breaking waves

A hybrid method for modelling two dimensional non-breaking and breaking waves

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

Numerical simulation of interaction between wind and 2D freak waves

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