Eddy viscosity and Eulerian drift over rippled beds in waves

Marin, François

doi:10.1016/j.coastaleng.2003.10.001

Cited by 26 publications

(29 citation statements)

References 24 publications

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“…In particular for particular values of the parameters the steady streaming was found to have a direction opposite to that predicted on the basis of Longuet-Higgins' theory. A steady velocity component pointing in the offshore direction has been observed, for particular values of the wave parameters, also by Marin and Sleath (1994), Marin (2004) and Scandura and Foti (2011). Theoretical investigations of the turbulent boundary layer, induced by a second-order Stokes wave, have been carried out by using turbulence models of varying complexity (e.g.…”

Section: Introductionmentioning

confidence: 78%

“…The model is further validated by comparing the results it provides with the measurements carried out by Marin (2004) in the laboratory flume of the University of Le Havre. The channel was 9 m long and 0.8 m wide and the mean water depth was fixed equal to 0.27 m. Waves were generated with a fixed period, equal to 1.08 s, and different heights, ranging between 1.4 cm and 11.7 cm.…”

Section: Resultsmentioning

confidence: 99%

“…Fig. 3 shows the steady velocity component predicted by the model at the top of the boundary layer (continuous line) for h n 0 ¼ 0:27 m, T n ¼ 1:08 s (as in the experiments of Marin, 2004) and varying the wave height. Of course the ripple size is fixed and it is equal to that of the experiments.…”

Section: Resultsmentioning

confidence: 99%

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Steady streaming induced by sea waves over rippled and rough beds

Vittori

Blondeaux

2013

Continental Shelf Research

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Section: Introductionmentioning

confidence: 78%

Section: Resultsmentioning

confidence: 99%

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Steady streaming induced by sea waves over rippled and rough beds

Vittori

Blondeaux

2013

Continental Shelf Research

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“…These experiments were limited, though, as they only included a few flow measurements, and these were only obtained from electromagnetic current meters, which do not resolve the vortices that dominate the momentum transfer in the BL. Marin (2004) measured both the flow field and Eulerian drift over ripples under progressive waves, but at low Reynolds number and with a fixed bed. Furthermore, Rousseaux (2008) made PIV measurements to make a detailed study of the vortex dynamics above ripples, but did not focus on the suspended sediment concentration.…”

Section: Measurements and Models Of Vortex Ripplesmentioning

confidence: 99%

Large eddy simulation of sediment transport over rippled beds

Harris

Grilli

2014

Nonlin. Processes Geophys.

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Abstract. Wave-induced boundary layer (BL) flows over sandy rippled bottoms are studied using a numerical model that applies a one-way coupling of a "far-field" inviscid flow model to a "near-field" large eddy simulation (LES) NavierStokes (NS) model. The incident inviscid velocity and pressure fields force the LES, in which near-field, wave-induced, turbulent bottom BL flows are simulated. A sediment suspension and transport model is embedded within the coupled flow model. The numerical implementation of the various models has been reported elsewhere, where we showed that the LES was able to accurately simulate both mean flow and turbulent statistics for oscillatory BL flows over a flat, rough bed. Here we show that the model accurately predicts the mean velocity fields and suspended sediment concentration for oscillatory flows over full-scale vortex ripples. Tests show that surface roughness has a significant effect on the results. Beyond increasing our insight into wave-induced oscillatory bottom BL physics, sophisticated coupled models of sediment transport such as that presented have the potential to make quantitative predictions of sediment transport and erosion/accretion around partly buried objects in the bottom, which is important for a vast array of bottom deployed instrumentation and other practical ocean engineering problems.

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“…Following Mirfenderesk and Young (2003), we can write S bf (k), the time rate of energy density loss at wave number k, as: and other quantities as a function of the wave and current velocities away from the boundary, e.g. Grant and Madsen (1979), Christoffersen and Jonsson (1985), Wiberg (1995), Davies and Villaret (1999), Marin (2004)). These models perform well against laboratory measurements, e.g.…”

Section: 1wave Energy Dissipation Due To Bottom Frictionmentioning

confidence: 99%

Wave modelling – The state of the art

Cavaleri¹,

Alves²,

Ardhuin³

et al. 2007

Progress in Oceanography

461

201

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This paper is the product of the wave modelling community and it tries to make a picture of the present situation in this branch of science, exploring the previous and the most recent results and looking ahead towards the solution of the problems we presently face. Both theory and applications are considered.The many faces of the subject imply separate discussions. This is reflected into the single sections, seven of them, each dealing with a specific topic, the whole providing a broad and solid overview of the present state of the art. After an introduction framing the problem and the approach we followed, we deal in sequence with the following subjects: (Section) 2, generation by wind; 3, non-linear interactions in deep water; 4, white-capping dissipation; 5, non-linear interactions in shallow water; 6, dissipation at the sea bottom; 7, wave propagation; 8, numerics. The two final sections, 9 and 10, summarize the present situation from a general point of view and try to look at the future developments. Keywords

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Eddy viscosity and Eulerian drift over rippled beds in waves

Cited by 26 publications

References 24 publications

Steady streaming induced by sea waves over rippled and rough beds

Steady streaming induced by sea waves over rippled and rough beds

Large eddy simulation of sediment transport over rippled beds

Wave modelling – The state of the art

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