Test-Case No 33: Propagation of Solitary Waves in Constant Depths Over Horizontal Beds (Pa, Pn, Pe)

Lubin, Pierre; Lemonnier, H.

doi:10.1615/multscientechn.v16.i1-3.310

Cited by 7 publications

(7 citation statements)

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“…Thus, the solution (19) can be used to show the ability of the numerical tool to reproduce accurately the impact and run-up of a wave on a vertical end-wall. Firstorder solitary wave theory is used for the initial wave shape and wave velocity [18,17].…”

Section: Subgrid-scale Modelmentioning

confidence: 99%

Large Eddy Simulation of turbulence generated by a weak breaking tidal bore

2010

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A tidal bore is a natural and fragile phenomenon, which is of great importance for the ecology of an estuary. The bore development is closely linked with the tidal range and the river mouth shape, and its existence is sensitive to any small change in boundary conditions. Despite their ecological and cultural value, little is known on the flow field, turbulent mixing and sediment motion beneath tidal bores.

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Section: Subgrid-scale Modelmentioning

confidence: 99%

Large Eddy Simulation of turbulence generated by a weak breaking tidal bore

2010

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“…We use the 1st order solitary wave theory for the initial wave shape and velocity distribution (Lee et al, 1982;Lubin and Lemonnier, 2004). We consider a two-dimensional solitary wave with a relative amplitude ϵ = H/d = 0.11 propagating in a constant water depth d = 0.3020 m, so the amplitude is H = 0.03322 m and the crest ordinate is located at z = 0.33522 m. The initial wave celerity is c = 1.8134 m s − 1 .…”

Section: A Solitary Wave Propagating In a Constant Water Depth Over Amentioning

confidence: 99%

Three-dimensional Large Eddy Simulation of air entrainment under plunging breaking waves

Lubin

Vincent

Abadie³

et al. 2006

Coastal Engineering

194

164

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International audienceThe scope of this work is to present and discuss the results obtained from simulating three-dimensional plunging breaking waves by solving the Navier-Stokes equations, in air and water, coupled with a dynamic subgrid scale turbulence model (Large Eddy Simulation, LES). An original numerical tool is used for the complete description of the plunging breaking processes including overturning, splash-up and the occurrence of air entrainment. The first part of the paper is devoted to the presentation and the validation of the numerical models and methods. Initial 3D conditions corresponding to unstable periodic sinusoidal waves of large amplitudes in periodic domains are then used to study further the ability of the numerical model to describe accurately the air entrainment occurring when waves break. The numerical results highlight the major role of this phenomenon in the energy dissipation process, through a high level of turbulence generation. The numerical model represents a substantial improvement in the numerical modelling of breaking waves since it includes the air entrainment process neglected in most previous existing models

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“…The present numerical model has been validated by studying, for example, the simple case of solitary waves propagations in constant depths over horizontal beds in periodic domains [1] or the more complicated cases of three-dimensional plunging breaking waves [14]. This model has been also proved to simulate accurately a solitary wave hitting a vertical end wall [15].…”

Section: Numerical Modelmentioning

confidence: 98%

“…The subscripts R and L refers to the right-and left-going waves heading towards each other, respectively. For two head-on colliding solitary waves with their maximum heights defined as¯Ê and Ä , the maximum run-up Ñ is defined by: Ñ ¯Ê ·¯Ä ·¯Ê¯Ä ¾ · ¿ ¯Ê¯Ä´¯Ê ·¯Äµ (1) with¯ À , being the water depth and À the waveheight.…”

Section: Head-on Collisions Between Two Solitary Wavesmentioning

confidence: 99%

“…When simulating two-phase flows, it is important to evaluate the general accuracy of the numerical methods and schemes by checking, for example, the balance of mass and energy in the computing domain. Thus, the results of the different solitary wave analytical theories can be used to compute the initial kinematic properties and simulate the waves propagations in constant depths over horizontal beds in periodic domains [1]. The precision of the simulation is assessed by comparing the free surface shapes and velocities to the theoretical values.…”

Section: Introductionmentioning

confidence: 99%

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