Evolution of a shoaling internal solitary wavetrain

Bourgault, D.; Blokhina, M. D.; Mirshak, Ramzi; Kelley, Dan

doi:10.1029/2006gl028462

Cited by 86 publications

(62 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example, observations in the Strait of Juan de Fuca suggested that cross-isobath Ekman transport associated with alongchannel tidal currents was essential to generate large vertical isopycnal excursions (Martin et al 2005). Crossisobath propagation of ISWs was also observed in the St. Lawrence Estuary (Bourgault et al 2007) and in the Faeroe-Shetland Channel (Hosegood and van Haren 2004). It is quite possible that these waves were generated by the interaction between the lateral currents and lateral bathymetry change.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Generation of Internal Solitary Waves by Lateral Circulation in a Stratified Estuary

Xie

Scully

et al. 2017

Journal of Physical Oceanography

View full text Add to dashboard Cite

Internal solitary waves are commonly observed in the coastal ocean where they are known to contribute to mass transport and turbulent mixing. While these waves are often generated by cross-isobath barotropic tidal currents, novel observations are presented suggesting that internal solitary waves result from along-isobath tidal flows over channel-shoal bathymetry. Mooring and ship-based velocity, temperature, and salinity data were collected over a cross-channel section in a stratified estuary. The data show that Ekman forcing on along-channel tidal currents drives lateral circulation, which interacts with the stratified water over the deep channel to generate a supercritical mode-2 internal lee wave. This lee wave propagates onto the shallow shoal and evolves into a group of internal solitary waves of elevation due to nonlinear steepening. These observations highlight the potential importance of three-dimensionality on the conversion of tidal flow to internal waves in the rotating ocean.

show abstract

Section: Conclusion and Discussionmentioning

confidence: 99%

Generation of Internal Solitary Waves by Lateral Circulation in a Stratified Estuary

Xie

Scully

et al. 2017

Journal of Physical Oceanography

View full text Add to dashboard Cite

show abstract

“…This basic scenario has been observed in several places in the ocean, For instance, this phenomena has been reported by Salusti et al (1989) in the Eastern Mediterranean, by Holloway et al (1997Holloway et al ( , 1999 and in the North West Shelf of Australia, by Hsu et al (2000) in the East China Sea, during the ASIAEX experiment in the South China Sea by Duda et al (2004), Liu et al (1998Liu et al ( , 2004, Orr and Mignerey (2003), , Yang et al (2004), Zhao et al (2003Zhao et al ( , 2004 and Zheng et al (2003), and on the New Jersey shelf by Shroyer et al (2009). Further, numerical simulations of the full Euler equations predict polarity reversal in Lake Constance (Vlasenko and Hutter, 2002), in the Andaman Sea (Vlasenko and Staschuk, 2007) and in the Saint Lawrence estuary (Bourgault et al, 2007). But elsewhere in the ocean, where there are no such critical points, the shoreward propagating small-amplitude internal solitary waves are expected to deform adiabatically (at least within the framework of the vKdV equation).…”

Section: Application To Internal Solitary Waves In the South China Seamentioning

confidence: 97%

Internal solitary waves: propagation, deformation and disintegration

Grimshaw

Pelinovsky

Talipova

et al. 2010

Nonlin. Processes Geophys.

165

139

View full text Add to dashboard Cite

Abstract. In coastal seas and straits, the interaction of barotropic tidal currents with the continental shelf, seamounts or sills is often observed to generate largeamplitude, horizontally propagating internal solitary waves. Typically these waves occur in regions of variable bottom topography, with the consequence that they are often modeled by nonlinear evolution equations of the Kortewegde Vries type with variable coefficients. We shall review how these models are used to describe the propagation, deformation and disintegration of internal solitary waves as they propagate over the continental shelf and slope.

show abstract

“…Correspondence to: R. Grimshaw (r.h.j.grimshaw@lboro.ac.uk) for the transformation of a nonlinear wave in the shelf zone due to changes in the depth and the background density stratification, including soliton fission (Zheng et al, 2001;Zhao et al, 2003;Orr and Mignerey, 2003;Helfrich, 1992;Vlasenko et al, 2005;Bourgault et al, 2007). Theoretically such processes have been well studied for a smoothly and slowly varying background when the Korteweg-de Vries equation and its modifications can be applied (Djordevic and Redekopp, 1978, Helfrich and Melville, 1986, Holloway et al, 1997Zheng et al, 2001;Grimshaw et al, 2004Grimshaw et al, , 2007.…”

Section: Observations Show That There Is a Wide Variety Of Processesmentioning

confidence: 99%

The transformation of an interfacial solitary wave of elevation at a bottom step

Maderich

Talipova

Grimshaw

et al. 2009

Nonlin. Processes Geophys.

View full text Add to dashboard Cite

Abstract. In this paper we study the transformation of an internal solitary wave at a bottom step in the framework of two-layer flow, for the case when the interface lies close to the bottom, and so the solitary waves are elevation waves. The outcome is the formation of solitary waves and dispersive wave trains in both the reflected and transmitted fields. We use a two-pronged approach, based on numerical simulations of the fully nonlinear equations using a version of the Princeton Ocean Model on the one hand, and a theoretical and numerical study of the Gardner equation on the other hand. In the numerical experiments, the ratio of the initial wave amplitude to the layer thickness is varied up onehalf, and nonlinear effects are then essential. In general, the characteristics of the generated solitary waves obtained in the fully nonlinear simulations are in reasonable agreement with the predictions of our theoretical model, which is based on matching linear shallow-water theory in the vicinity of a step with solutions of the Gardner equation for waves far from the step.

show abstract

Evolution of a shoaling internal solitary wavetrain

Cited by 86 publications

References 13 publications

Generation of Internal Solitary Waves by Lateral Circulation in a Stratified Estuary

Generation of Internal Solitary Waves by Lateral Circulation in a Stratified Estuary

Internal solitary waves: propagation, deformation and disintegration

The transformation of an interfacial solitary wave of elevation at a bottom step

Contact Info

Product

Resources

About