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The far field asymptotic of internal waves is constructed for the case when a point source of mass moves in a layer of arbitrarily stratified fluid with slowly varying bottom. The solutions obtained describe the far field both near the wave…

Fluid Dynamics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

Internal gravity waves play a primary role in geophysical fluids: they contribute significantly to mixing in the ocean and they redistribute energy and momentum in the middle atmosphere. Until recently, most studies were focused on plane…

Fluid Dynamics · Physics 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

In this paper we consider fundamental processes of the disturbance and propagation of internal gravity waves in the ocean modeled as a vertically stratified, horizontally non-uniform, and non-stationary medium. We develop asymptotic methods…

Fluid Dynamics · Physics 2013-08-20 Vitaly V. Bulatov , Yuriy V. Vladimirov

Lamb waves are trapped acoustic-gravity waves that propagate energy over great distances along a solid boundary in density stratified, compressible fluids. They constitute useful indicators of explosions in planetary atmospheres. When the…

Fluid Dynamics · Physics 2019-05-03 Manolis Perrot , Pierre Delplace , Antoine Venaille

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…

The atmosphere is a nonlinear stratified fluid in which internal gravity waves are present. These waves interact with the flow, resulting in wave turbulence that displays important differences with the turbulence observed in isotropic and…

Fluid Dynamics · Physics 2015-06-23 P. Clark di Leoni , P. D. Mininni

Internal gravity waves contribute to fluid mixing and energy transport, not only in oceans but also in the atmosphere and in astrophysical bodies. We provide here the first experimental measurement of the growth rate of a resonant triad…

Fluid Dynamics · Physics 2015-06-04 Sylvain Joubaud , James Munroe , Philippe Odier , Thierry Dauxois

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting…

Fluid Dynamics · Physics 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay

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

The problem of internal gravity waves generation by a point source moving in a stratified medium varying with respect to all spatial variables and time is considered. The fact that the characteristic horizontal scales of density variation…

Mathematical Physics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

This paper considers two-dimensional stratified water waves propagating under the force of gravity over an impermeable flat bed and with a free surface. We prove the existence of a global continuum of classical solutions that are periodic…

Analysis of PDEs · Mathematics 2009-02-11 Samuel Walsh

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

Oceanic internal tides and other inertia-gravity waves propagate in an energetic turbulent flow whose lengthscales are similar to the wavelengths. Advection and refraction by this flow cause the scattering of the waves, redistributing their…

Atmospheric and Oceanic Physics · Physics 2018-11-14 Miles A. C. Savva , Jacques Vanneste

We propose, for the first time, a two-dimensional model for the nonlinear coupling of internal gravity and thermal waves in the presence of temperature-dependent density inhomogeneity due to thermal expansion and thermal feedback in…

Atmospheric and Oceanic Physics · Physics 2025-11-04 S. Das Adhikary , A. P. Misra

The comprehension of stratified flows is important for geophysical and astrophysical applications. The Weak Wave Turbulence theory aims to provide a statistical description of internal gravity waves propagating in the bulk of such flows.…

Fluid Dynamics · Physics 2024-02-21 Vincent Labarre , Pierre Augier , Giorgio Krstulovic , Sergey Nazarenko

Internal waves propagate on the ocean's stratification, carrying energy and redistributing momentum through the ocean. When internal waves break, they contribute to diapycnal mixing in the ocean interior, but this breaking behaviour depends…

Atmospheric and Oceanic Physics · Physics 2025-07-31 Ashley J. Barnes , Callum J. Shakespeare , Andy McC. Hogg , Navid C. Constantinou

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 internal gravity waves are the oscillations present in the gravitational field of the stratified medium, that is the mediums which density raises with the depth change. If the equilibrium state of the component volume of this medium is…

Fluid Dynamics · Physics 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov

In this paper, we consider a fundamental problem of describing the dynamics of internal gravity waves in the stratified ocean with shear flows. We develop an asymptotic representation of the wave fields in terms of the Green's functions. We…

Fluid Dynamics · Physics 2013-08-20 Vitaly V. Bulatov , Yuriy V. Vladimirov

We present experimental and computational studies of the propagation of internal waves in a stratified fluid with an exponential density profile that models the deep ocean. The buoyancy frequency profile $N(z)$ (proportional to the square…

Fluid Dynamics · Physics 2012-09-04 M. S. Paoletti , Harry L. Swinney
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