Baroclinic Tides

Vlasenko, Vasiliy; Stashchuk, Nataliya; Hutter, Kolumban

doi:10.1017/cbo9780511535932

Cited by 217 publications

(65 citation statements)

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“…Figure 2 represents the spatial average of vertical mode amplitudes over the "near field" area (shaded area in Figure 1) for 12 simulations representing a wide range of topography widths: λ r ∈ [0.2-2] m. This figure illustrates the influence of the topography width on tidal energy distribution among vertical modes. As highlighted in previous analytical studies of IW generation above small or infinitesimal bottom topography, 5,7 there is, in our specific configuration, a resonance phenomenon between the vertical mode wavelength and the topography width. Indeed the relation between vertical mode amplitude and topography width is not linear: vertical mode amplitude presents a maximum for a −h 0 , 0]).…”

supporting

confidence: 54%

“…Previous analytical studies 5,7 show that for a constant topography width and above small or infinitesimal sinusoidal topography, vertical mode amplitude a n decreases with the mode number n. In fact, according to the data of many field observations, in the ocean, the first mode usually dominates. However, in our configurations, above narrow and abrupt topography (small λ r ), lowest modes are not always dominant in the near field area.…”

Section: -5 Bordois Et Almentioning

confidence: 93%

“…5 Three simulations with different topography heights, h 0 = [0.03; 0.04; 0.07] m, are now investigated with mode 2 resonance condition ( λ 2 λ r ≈ 1). The blocking parameter (B = h 0 /h 2 ) describes the interaction degree between the topography and the pycnocline layer.…”

Section: -5 Bordois Et Almentioning

confidence: 99%

“…The energy distribution among these vertical modes is highly variable in the oceans depending on the generation site. Previous analytical studies [5][6][7] have highlighted a strong relationship between vertical mode amplitudes and the topography shape of the generation site (height, width, slope). These analytical approaches rely on strong assumptions: linear approximation (weak wave amplitude limit), infinitesimal topography or subcritical topography, and "propagative" environment (ω < N(z) limit).…”

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confidence: 99%

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Interfacial waves generated by electrowetting-driven contact line motion

Park

Kim

et al. 2016

Physics of Fluids

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The contact angle of a liquid-fluid interface can be effectively modulated by the electrowetting-on-dielectric (EWOD) technology. Rapid movement of the contact line can be achieved by swift changes of voltage at the electrodes, which can give rise to interfacial waves under the strong influence of surface tension. Here we experimentally demonstrate EWOD-driven interfacial waves of overlapping liquids and compare their wavelength and decay length with the theoretical results obtained by a perturbation analysis. Our theory also allows us to predict the temporal evolution of the interfacial profiles in either rectangular or cylindrical containers, as driven by slipping contact lines. This work builds a theoretical framework to understand and predict the dynamics of capillary waves of a liquid-liquid interface driven by EWOD, which has practical implications on optofluidic devices used to guide light.

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supporting

confidence: 54%

Section: -5 Bordois Et Almentioning

confidence: 93%

Section: -5 Bordois Et Almentioning

confidence: 99%

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confidence: 99%

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Interfacial waves generated by electrowetting-driven contact line motion

Park

Kim

et al. 2016

Physics of Fluids

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“…65,67 V. CONCLUSIONS AND PERSPECTIVES From a close distance, a panorama of any scientific field might look chaotic, but a quarter of a century span allows us to choose and follow up upon a few coherent threads in the recent phase of our chosen corner of nonlinear wave theory. Here, we will briefly summarize the key points and ideas described above and try to make a guess about their possible development in the future.…”

Section: Oceanic Observationsmentioning

confidence: 99%

Beyond the KdV: Post-explosion development

Ostrovsky

Pelinovsky

Shrira

et al. 2015

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Several threads of the last 25 years' developments in nonlinear wave theory that stem from the classical Korteweg-de Vries (KdV) equation are surveyed. The focus is on various generalizations of the KdV equation which include higher-order nonlinearity, large-scale dispersion, and a nonlocal integral dispersion. We also discuss how relatively simple models can capture strongly nonlinear dynamics and how various modifications of the KdV equation lead to qualitatively new, non-trivial solutions and regimes of evolution observable in the laboratory and in nature. As the main physical example, we choose internal gravity waves in the ocean for which all these models are applicable and have genuine importance. We also briefly outline the authors' view of the future development of the chosen lines of nonlinear wave theory. V C 2015 AIP Publishing LLC.[http://dx.doi.org/10.1063/1.4927448]In the aftermath of the revolutionary development in the theory of nonlinear waves in the 1960s-1970s, the intensity of studies in this field does not show signs of decreasing. Here, several lines of studies related to the KdV equation are surveyed. Focusing on generalizations of the KdV equation, we trace the development of main ideas and concepts of nonlinear wave theory yielding qualitatively new solutions such as "fat" and table-top solitons, breathers, and slowly radiating solitons. The reasons underpinning the unmatched universality of the KdV equation as a mathematical model applicable in many physical contexts are quite natural: for long waves the model combines the most typical, small quadratic nonlinearity and weak, small-scale dispersion. The balance between the nonlinearity and dispersion allows the possibility of solitary waves possessing astonishing particlelike properties such as robustness and persistence in collisions not only with each other but also with other perturbations. This particle-like behavior is at the origin of the term soliton introduced to emphasize the affinity of such waves with elementary particles (electrons, protons, etc). As the understanding of nonlinear waves matured, the limitations of the KdV model and necessity to go beyond it became apparent; hence, the trend towards developing more general and rich models which generalize the KdV equation and yield many new and non-trivial results. Here, we briefly discuss their appearance in various mathematical and physical contexts and some of the results which follow, such as qualitatively new types of solitons, their limiting shapes and parameters, and interactions. It is also demonstrated that these features are not mathematical artefacts, which is illustrated by examples mainly related to nonlinear internal gravity waves in the ocean.

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Observed upper ocean response to typhoon Megi (2010) in the Northern South China Sea

Guan

Zhao

Huthnance

et al. 2014

J. Geophys. Res. Oceans

142

117

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Typhoon Megi passed between two subsurface moorings in the northern South China Sea in October 2010 and the upper ocean thermal and dynamical response with strong internal tides present was examined in detail. The entire observed water column (60-360 m) was cooled due to strong Ekmanpumped upwelling (up to 50 m in the thermocline) by Megi, with maximum cooling of 4.2 C occurring in thermocline. A relatively weak (maximum amplitude of 0.4 m s 21 ) and quickly damped (e-folding time scale of 2 inertial periods) near-inertial oscillation (NIO) was observed in the mixed layer. Power spectrum and wavelet analyses both indicated an energy peak appearing at exactly the sum frequency fD1 (with maximum amplitude up to 0.2 m s 21 ) of NIO (f) and diurnal tide (D1), indicating enhanced nonlinear wave-wave interaction between f and D1 during and after typhoon. Numerical experiments suggested that energy transfer from NIO to fD1 via nonlinear interaction between f and D1 may have limited the growth and accelerated the damping of mixed layer NIO generated by Megi. The occurrence of fD1 had a high correlation with NIO; the vertical nonlinear momentum term, associated with the vertical shear of NIO and vertical velocity of D1 or vertical shear of D1 and vertical velocity of NIO, was more than 10 times larger than the horizontal terms and was responsible for forcing fD1. After Megi, surface-layer diurnal energy was enhanced by up to 100%, attributed to the combined effect of the increased surface-layer stratification and additional Megi-forced diurnal current.

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Baroclinic Tides

Cited by 217 publications

References 0 publications

Interfacial waves generated by electrowetting-driven contact line motion

Interfacial waves generated by electrowetting-driven contact line motion

Beyond the KdV: Post-explosion development

Observed upper ocean response to typhoon Megi (2010) in the Northern South China Sea

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