Particle transport induced by internal wave beam streaming in lateral boundary layers

Horne, Edward P. W.; Beckebanze, F.; Micard, Diane; Odier, Philippe; Maas, Leo R. M.; Joubaud, Sylvain

doi:10.1017/jfm.2019.251

Cited by 6 publications

(10 citation statements)

References 44 publications

(46 reference statements)

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“…(v) We see in figure 7 that some energy goes into a mean flow generated in the boundary layers (Horne et al. 2019). While the associated dissipation in the bulk is taken into account, its counterpart in the boundary layers is not.…”

Section: Resultsmentioning

confidence: 92%

“…Secondary waves are assumed here to keep the two-dimensional geometry, which is not certain. (v) We see in figure 7 that some energy goes into a mean flow generated in the boundary layers (Horne et al 2019).…”

Section: Weakly Nonlinear Regimementioning

confidence: 92%

“…It has been also recently shown that viscous boundary layers can induce strong mean flow due to streaming (Horne et al. 2019; Renaud & Venaille 2019).…”

Section: Introductionmentioning

confidence: 99%

“…In laboratory experiments, the propagation of an internal wave beam is affected by viscous damping, as initially studied by Thomas & Stevenson (1973), or through instabilities of internal wave beams (Dauxois et al 2018). It has been also recently shown that viscous boundary layers can induce strong mean flow due to streaming (Horne et al 2019;Renaud & Venaille 2019).…”

Section: Introductionmentioning

confidence: 99%

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Energy budget in internal wave attractor experiments

et al. 2019

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The current paper presents an experimental study of the energy budget of a twodimensional internal wave attractor in a trapezoidal domain filled with uniformly stratified fluid. The injected energy flux and the dissipation rate are simultaneously measured from a two-dimensional, two components, experimental velocity field. The pressure perturbation field needed to quantify the injected energy is determined from the linear inviscid theory. The dissipation rate in the bulk of the domain is directly computed from the measurements, while the energy sink occurring in the boundary layers are estimated using the theoretical expression of the velocity field in the boundary layers, derived recently by Beckebanze et al. (J. Fluid Mech. 841, 614 (2018)). In the linear regime, we show that the energy budget is closed, in the steady-state and also in the transient regime, by taking into account the bulk dissipation and, more important, the dissipation in the boundary layers without any adjustable parameters. The dependence of the different sources on the thickness of the experimental set-up is also discussed. In the nonlinear regime, the analysis is extended by estimating the dissipation due to the secondary waves generated by triadic resonant instabilities showing the importance of the energy transfer from large scales to small scales. The method tested here on internal wave attractors can be generalized straightforwardly to any quasi two-dimensional stratified flow.

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Section: Resultsmentioning

confidence: 92%

Section: Weakly Nonlinear Regimementioning

confidence: 92%

“…It has been also recently shown that viscous boundary layers can induce strong mean flow due to streaming (Horne et al. 2019; Renaud & Venaille 2019).…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy budget in internal wave attractor experiments

et al. 2019

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“…Internal solitary waves can enhance ocean mixing and are an important link in energy dissipation from the barotropic tide [5,6]. Additionally, ISWs can have a profound effect on offshore drilling operations [7], nutrients, pollutants, and sediments transport [8], acoustic propagation [9], and nearshore ecosystems [10]. For these reasons, the generation, propagation, steepening, and dissipation of ISWs have received much research attention for several decades.…”

Section: Introductionmentioning

confidence: 99%

Retrieval of Internal Solitary Wave Amplitude in Shallow Water by Tandem Spaceborne SAR

Jia

Liang

et al. 2019

Remote Sensing

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The accurate estimation of the upper layer thickness in a two-layer ocean is a crucial step in the retrieval of internal solitary wave (ISW) amplitude from synthetic aperture radar (SAR) data. In this paper, we present a method to derive the upper layer thickness and the consequent ISW amplitude by combining two consecutive SAR images with the extended Korteweg-de Vries (eKdV) equation. An ISW case observed twice by the Chinese C-band SAR GaoFen-3 (GF-3) and the German X-band SAR TerraSAR-X (TS-X) with a temporal interval of approximately 11 minutes in shallow water to the southeast of Hainan Island in the northwestern South China Sea was used to demonstrate the applicability of the method. Using the in situ measurements of temperature and salinity near the observed ISW, the proposed method yielded an ISW amplitude of −4.52 m, in close proximity to −5.66 ± 1.24 m derived by applying the classic Korteweg–de Vries (KdV) equation based on the continuously stratified theory. Moreover, the climatological dataset of the World Ocean Atlas 2013 (WOA13) was also used with the proposed method in the Hainan case, and the results showed that the method can still provide a reasonable estimate of ISW amplitude in shallow water even when in situ oceanic stratification measurements are absent. The application of our method to derive the ISW amplitude from consecutive SAR images seems highly promising with the increasing emergence of tandem satellites in orbits.

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