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We designed a simple laboratory experiment to study internal tides generation. We consider a steep continental shelf, for which the internal tide is shown to be emitted from the critical point, which is clearly amphidromic. We also discuss…

Classical Physics · Physics 2008-12-11 Louis Gostiaux , Thierry Dauxois

We attempt to gain some insight into the modeling of the generation of internal waves produced by submarines traveling in the littoral regions of the ocean with the use of high fidelity numerical simulations. These numerical simulations are…

Fluid Dynamics · Physics 2014-10-08 James W. Rottman , Kyle A. Brucker , Douglas Dommermuth , Dave Broutman

To investigate the formation mechanism of energy spectra of internal waves in the oceans, direct numerical simulations are performed. The simulations are based on the reduced dynamical equations of rotating stratified turbulence. In the…

Fluid Dynamics · Physics 2020-06-10 Yuri V. Lvov , Naoto Yokoyama

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

Fluid Dynamics · Physics 2014-10-10 Thomas T. O'Shea , Kyle A. Brucker , Douglas G. Dommermuth , Donald C. Wyatt

In this paper, we present the first laboratory experiments that show the generation of internal solitary waves by the impingement of a quasi-two-dimensional internal wave beam on a pycnocline. These experiments were inspired by observations…

We perform full-scale numerical simulation of instability of weakly nonlinear waves on the surface of deep fluid. We show that the instability development leads to chaotization and formation of wave turbulence. We study instability both of…

Computational Physics · Physics 2022-06-03 A. O. Korotkevich , A. I. Dyachenko , V. E. Zakharov

Internal waves, or waves that propagate within a stratified fluid, may break and cause mixing. While each individual mixing event may be small, collectively, internal wave breaking drive processes in the ocean that are critical to…

Two-dimensional free-surface potential flows of an ideal fluid over a strongly inhomogeneous bottom are investigated with the help of conformal mappings. Weakly-nonlinear and exact nonlinear equations of motion are derived by the…

Fluid Dynamics · Physics 2016-09-08 V. P. Ruban

High-frequency wave propagation in near-inertial wave shear has been considered fundamental in setting the spectral character of the oceanic internal wave continuum and for transporting energy to wave-breaking. We compare idealized ray…

Atmospheric and Oceanic Physics · Physics 2023-10-27 Kurt L Polzin , Yuri V Lvov

The formulation of a canonical deep-water breaking wave problem is introduced, and the results of a set of three-dimensional numerical simulations for deep-water breaking waves are presented. In this paper fully nonlinear progressive waves…

Fluid Dynamics · Physics 2014-10-08 Kyle A. Brucker , Thomas T. O'Shea , Douglas G. Dommermuth , Paul Adams

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne

Turbulent water motions are important for the exchange of momentum, heat, nutrients, and suspended matter including sediments in the deep-sea that is generally stably stratified in density. To maintain ocean-density stratification, an…

Atmospheric and Oceanic Physics · Physics 2024-08-14 Hans van Haren , Henk de Haas

Wind-wave and ocean current interactions affect critical coastal and oceanic processes, yet modeling these interactions presents significant challenges. The western North Atlantic Ocean provides an ideal test environment for coupled…

Atmospheric and Oceanic Physics · Physics 2025-05-27 Maria Venolia , Reza Marsooli , Jaime R. Calzada

In this article, we present a predictive model for the amplitude of impulse waves generated by the collapse of a granular column into a water layer. The model, which combines the spreading dynamics of the grains and the wave hydrodynamics…

Fluid Dynamics · Physics 2022-09-08 Wladimir Sarlin , Cyprien Morize , Alban Sauret , Philippe Gondret

Nonlinear water waves interacting with quasi-one-dimensional, non-uniformly periodic bed profiles are studied numerically in the deep-water regime with the help of approximate equations for envelopes of the forward and backward waves.…

Fluid Dynamics · Physics 2015-05-14 V. P. Ruban

In this work we present a further analytical development and a numerical implementation of the recently suggested theoretical model for highly nonlinear potential long-crested water waves, where weak three-dimensional effects are included…

Fluid Dynamics · Physics 2009-11-11 Victor P. Ruban , Juergen Dreher

Through basin-scale circulations, the ocean regulates global distributions of heat, nutrients, and greenhouse gases. To properly predict the future of the ocean under climate change, we need to develop a thorough understanding of the…

Fluid Dynamics · Physics 2024-08-13 Zachary Taebel , Alberto Scotti , Pierre-Yves Passaggia , Dylan Bruney

Turbulent and internal wave motions are important for the exchange of momentum, heat and suspended matter in the deep-sea which is generally stably stratified in density. Turbulence-generation models involve shear of vertical current…

Fluid Dynamics · Physics 2023-03-21 Hans van Haren

Most prior works studying tidal interactions in tight star/planet or star/star binary systems have employed linear theory of a viscous fluid in a uniformly-rotating two-dimensional spherical shell. However, compact systems may have…

Solar and Stellar Astrophysics · Physics 2023-10-11 Aurélie Astoul , Adrian J. Barker

The modeling of tsunami generation is an essential phase in understanding tsunamis. For tsunamis generated by underwater earthquakes, it involves the modeling of the sea bottom motion as well as the resulting motion of the water above it. A…

Fluid Dynamics · Physics 2020-02-20 Youen Kervella , Denys Dutykh , Frédéric Dias
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