Stratification effects on shoaling internal solitary waves
نویسندگان
چکیده
This combined numerical/laboratory study investigates the effect of stratification form on shoaling characteristics internal solitary waves propagating over a smooth, linear topographic slope. Three types are investigated, namely (i) thin tanh (homogeneous upper and lower layers separated by pycnocline), (ii) surface (linearly stratified layer overlaying homogeneous layer) (iii) broad (continuous density gradient throughout water column). It is found that affects breaking type associated with wave. In stratification, good agreement seen past studies. Waves shallowest slopes undergo fission. Over steeper slopes, changes from surging, through collapsing to plunging increasing wave steepness $A_w/L_w$ for given slope, where $A_w$ $L_w$ incident amplitude wavelength, respectively. regime, classification differs stratification. Plunging dynamics inhibited layer, instead collapsing-type breakers equivalent location in parameter space profile likewise near-bottom prevents dynamics. Instead, all either fission or surging breakers. As increases, bolus formed exhibits evidence Kelvin–Helmholtz instabilities its boundary. both two- three-dimensional simulations, billow size grows steepness, not previously observed literature.
منابع مشابه
Shoaling internal solitary waves
[1] The evolution and breaking of internal solitary waves in a shallow upper layer as they approach a constant bottom slope is examined through laboratory experiments. The waves are launched in a two-layer fluid through the standard lock-release method. In most experiments, the wave amplitude is significantly larger than the depth of the shallow upper layer so that they are not well described b...
متن کاملInternal solitary waves of elevation advancing on a shoaling shelf
[1] A sequence of three internal solitary waves of elevation were observed propagating shoreward along a near-bottom density interface over Oregon’s continental shelf. These waves are highly turbulent and coincide with enhanced optical backscatter, consistent with increased suspended sediments in the bottom boundary layer. Nonlinear solitary wave solutions are employed to estimate wave speeds a...
متن کاملCombined Effect of Rotation and Topography on Shoaling Oceanic Internal Solitary Waves
Internal solitary waves commonly observed in the coastal ocean are oftenmodeled by a nonlinear evolution equation of the Korteweg–de Vries type. Because these waves often propagate for long distances over several inertial periods, the effect of Earth’s background rotation is potentially significant. The relevant extension of the Kortweg–de Vries is then the Ostrovsky equation, which for interna...
متن کاملOn the Shoaling of Solitary Waves in the Kdv Equation
The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three coupled equations is derived for the determination of the local wave properties as waves propagate over gently changing depth. The system of equations is solved numerically, and...
متن کاملInternal Solitary Waves
The basic theory of internal solitary waves is reviewed, with the main emphasis on applications to the many observations of such waves in shallow coastal seas, fjords, lakes and in the atmospheric boundary layer. Commencing with the equations of motion for an inviscid, incompressible density-stratified fluid, we describe asymptotic reductions to model long-wave equations, including the well-kno...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2021
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2021.1049