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In the paper taking the assumption of the slowness of the change of the parameters of the vertically stratified medium in the horizontal direction and in time, the evolution of the non-harmonic wave packages of the internal gravity waves…

流体动力学 · 物理学 2008-08-06 Vitaly V. Bulatov

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…

流体动力学 · 物理学 2012-07-10 Vitaly V. Bulatov , Yuriy V. Vladimirov

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…

数学物理 · 物理学 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

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…

流体动力学 · 物理学 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov , Vasily A. Vakorin

In the present paper in the assumption of the slowness of variation of the vertically stratified medium parameters in the horizontal direction within the time we have analyzed the evolution of the non-harmonic wave trains of the internal…

流体动力学 · 物理学 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov

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…

流体动力学 · 物理学 2013-08-20 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…

流体动力学 · 物理学 2013-08-20 Vitaly V. Bulatov , Yuriy V. Vladimirov

The internal gravity waves far field exited by a non-local perturbation sources was considered. A separate wave mode asymptomatic presentation was constructed, describing the wave field key features depending on the source geometry.

流体动力学 · 物理学 2009-11-18 Vitaly V. Bulatov , Yuriy V. Vladimirov

The paper is devoted to the presentation of the non-spectral methods of analysis of the natural measurements of the internal gravity waves in the ocean with the purpose to determine characteristics of the wave-trains composing the measured…

大气与海洋物理 · 物理学 2007-07-13 Vitaly A. Bulatov

This work focuses on the mathematical modeling of wave dynamics in a stratified medium. Non-local absorbing boundary conditions are considered based on the two following assumptions: (i) a linear theory can be applied at large distances…

流体动力学 · 物理学 2010-08-25 Vitaly V. Bulatov , Yuriy V. Vladimirov

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…

流体动力学 · 物理学 2007-05-23 Vitaly V. Bulatov , Yuriy V. Vladimirov

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…

流体动力学 · 物理学 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

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…

流体动力学 · 物理学 2021-02-10 Thierry Dauxois , Sylvain Joubaud , Philippe Odier , Antoine Venaille

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.…

流体动力学 · 物理学 2024-02-21 Vincent Labarre , Pierre Augier , Giorgio Krstulovic , Sergey Nazarenko

Geophysical fluids such as the ocean and atmosphere can be stratified: their density depends on the depth. As a consequence, they can host internal gravity waves that propagate in the bulk of the fluid, far from the surface. These waves can…

大气与海洋物理 · 物理学 2021-11-16 Sasan J. Ghaemsaidi , Michel Fruchart , Severine Atis

The standard analytical approach for studying gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its…

流体动力学 · 物理学 2016-09-28 Philippe H. Trinh

With the aim of assessing internal wave-driven mixing in the ocean, we develop a new technique for direct numerical simulations of stratified turbulence. Since the spatial scale of oceanic internal gravity waves is typically much larger…

流体动力学 · 物理学 2021-04-07 Y. Onuki , S. Joubaud , T. Dauxois

In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.

流体动力学 · 物理学 2013-06-18 Xiaoping Xu

We consider Euler's equations for free surface waves traveling on a body of density stratified water in the scenario when gravity and surface tension act as restoring forces. The flow is continuously stratified, and the water layer is…

偏微分方程分析 · 数学 2019-12-02 Joachim Escher , Patrik Knopf , Christina Lienstromberg , Bogdan-Vasile Matioc

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…

流体动力学 · 物理学 2009-10-27 Kausik S. Das , Stephen W. Morris , A. Bhattacharyay
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