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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

Motivated by observations of turbulence in the strongly stratified ocean thermocline, we use direct numerical simulations to investigate the interaction of a sinusoidal shear flow and a large-amplitude internal gravity wave. Despite strong…

Fluid Dynamics · Physics 2023-06-22 Christopher J. Howland , John R. Taylor , C. P. Caulfield

This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equations with bounded and measurable coefficients. The…

Mathematical Physics · Physics 2015-06-12 Kirk D. Blazek , Christiaan C. Stolk , William W. Symes

Wave breaking is a critical process in the upper ocean: an energy sink for the surface wave field and a source for turbulence in the ocean surface boundary layer. We apply a novel multi-layer numerical solver resolving upper-ocean dynamics…

Fluid Dynamics · Physics 2025-10-13 Jiarong Wu , Stéphane Popinet , Bertrand Chapron , J. Thomas Farrar , Luc Deike

The effects of a submarine canyon on the propagation of ocean surface waves are examined with a three-dimensional coupled-mode model for wave propagation over steep topography. Whereas the classical geometrical optics approximation predicts…

Atmospheric and Oceanic Physics · Physics 2015-06-26 Rudy Magne , Kostas Belibassakis , Thomas H. C. Herbers , Fabrice Ardhuin , William C. O'Reilly , Vincent Rey

We study the flow of water waves over bathymetry that varies periodically along one direction. We derive a linearized, homogenized model and show that the periodic bathymetry induces an effective dispersion, distinct from the dispersion…

Fluid Dynamics · Physics 2021-07-01 Manuel Quezada de Luna , David I. Ketcheson

Seafloor topography can excite strong interface waves called Scholte waves that are often dispersive and characterized by slow propagation but large amplitude. This type of wave can be used to invert for near seafloor shear wave velocity…

Geophysics · Physics 2013-06-20 Yingcai Zheng , Xinding Fang , Jing Liu , Michael C. Fehler

The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. Sanchez-Gil , V. Freilikher , A. A. Maradudin , I. Yurkevich

A model for the wave motion of an internal wave in the presence of current in the case of intermediate long wave approximation is studied. The lower layer is considerably deeper, with a higher density than the upper layer. The flat surface…

Fluid Dynamics · Physics 2024-06-04 Joseph Cullen , Rossen Ivanov

Across the stable density stratification of the abyssal ocean, deep dense water is slowly propelled upward by sustained, though irregular, turbulent mixing. The resulting mean upwelling determines large-scale oceanic circulation properties…

The geometry of a light wavefront evolving in the 3--space associated with a post-Newtonian relativistic spacetime from a flat wavefront is studied numerically by means of the ray tracing method. For a discretization of the bidimensional…

General Relativity and Quantum Cosmology · Physics 2010-02-26 A. San Miguel , F. Vicente , J. -F. Pascual-Sanchez

Inspired by bouncing drop experiments that revealed how macroscopic systems can exhibit wave-particle properties previously thought to be exclusive to quantum systems, we introduce here a new wave-particle system based on internal gravity…

Fluid Dynamics · Physics 2025-05-16 Simon Gsell , Patrice Le Gal

We experimentally study gravity-capillary wave turbulence on the interface between two immiscible fluids of close density with free upper surface. We locally measure the wave height at the interface between both fluids by means of a highly…

Fluid Dynamics · Physics 2017-03-08 Bruno Issenmann , Claude Laroche , Eric Falcon

The dynamics of internal waves in stratified media, such as the ocean or atmosphere, is highly dependent on the topography of their floor. A closed-form analytical solution can be derived only in cases when the water distribution density…

Fluid Dynamics · Physics 2012-07-10 Vitaly V. Bulatov , Yuriy V. Vladimirov

When impacted by a rigid object, a thin elastic membrane with negligible bending rigidity floating on a liquid pool deforms. Two axisymmetric waves radiating from the impact point propagate. In the first place, a longitudinal wave front --…

Fluid Dynamics · Physics 2016-05-18 Nicolas Vandenberghe , Laurent Duchemin

Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathematics. A central problem is to quantify the probability of…

Analysis of PDEs · Mathematics 2026-03-31 Massimiliano Berti , Ricardo Grande , Alberto Maspero , Gigliola Staffilani

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

We report numerical simulations of surface gravity waves forced at small scale and the subsequent inverse cascade of wave action. We combine the spectral approach to simulating weakly nonlinear waves with the capabilities of modern Graphics…

Fluid Dynamics · Physics 2024-04-17 CHristopher Higgins , Basile Gallet

Oceanic tides are a major source of tidal dissipation. They are a key actor for the orbital and rotational evolution of planetary systems, and contribute to the heating of icy satellites hosting a subsurface ocean. Oceanic tides are…

Earth and Planetary Astrophysics · Physics 2018-11-26 Pierre Auclair-Desrotour , Stéphane Mathis , Jacques Laskar , Jérémy Leconte

Waves propagating through weakly disordered smooth linear media undergo a universal phenomenon called branched flow. Branched flow has been observed and studied experimentally in various systems by considering coherent waves. Recent…

Analysis of PDEs · Mathematics 2025-04-09 Josselin Garnier , Antonio Picozzi , Theo Torres