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Ocean wind waves are a fundamental manifestation of complex dynamics in geophysical fluid systems, characterized by a rich interplay between dispersion and nonlinearity. While linear wave theory provides a first-order description of wave…

Atmospheric and Oceanic Physics · Physics 2026-04-20 Davide Maestrini , Giovanni Dematteis , Alvise Benetazzo , Miguel Onorato

Intrinsically coupled nonlinear systems present different oscillating components that exchange energy among themselves. A paradigmatic example is the spring pendulum, which displays spring, pendulum, and coupled oscillations. We analyze the…

Chaotic Dynamics · Physics 2022-10-18 M. C. de Sousa , A. B. Schelin , F. A. Marcus , R. L. Viana , I. L. Caldas

Acoustic waves are one of the primary suspects besides magnetic fields for the chromospheric heating process to temperatures above radiative equilibrium (RE). We derived the mechanical wave energy as seen in line-core velocities to obtain a…

Solar and Stellar Astrophysics · Physics 2015-05-13 C. Beck , E. Khomenko , R. Rezaei , M. Collados

The present work aims at exploring the scale-by-scale kinetic energy exchanges in multiphase turbulence. For this purpose, we derive the K\'arm\'an-Howarth-Monin equation which accounts for the variations of density and viscosity across the…

Fluid Dynamics · Physics 2026-01-14 Fabien Thiesset , Jonathan Vahé

A methodology is developed to quantify the transfer and transport of kinetic energy of specific scales associated with coherent structures. Coherent motions are characterized by the triple decomposition of a multi-scale flow and used to…

Fluid Dynamics · Physics 2021-12-17 Daniel Foti

A novel discrete model (D-model) is presented describing nonlinear wave interactions in systems with small and moderate nonlinearity under narrow frequency band excitation. It integrates in a single theoretical frame two mechanisms of…

Fluid Dynamics · Physics 2012-11-02 Elena Kartashova

Mesoscale wave processes are a transport mechanism for the energy exchange between the troposphere and stratosphere, since the tropopause blocks such an exchange. It is believed that internal gravity waves (IGW) are the main wave process in…

Atmospheric and Oceanic Physics · Physics 2022-12-22 Alexander Kochin

When atmospheric storms pass over the ocean, they resonantly force near-inertial waves (NIWs); internal waves with a frequency close to the local Coriolis frequency $f$. It has long been recognised that the evolution of NIWs is modulated by…

Atmospheric and Oceanic Physics · Physics 2025-01-15 Scott Conn , Jörn Callies , Albion Lawrence

The transport equations for velocity variances are investigated using data from DNS of incompressible channel flows at $Re_\tau$ up to 5200. Each term in the transport equation has been spectrally decomposed to expose the contribution of…

Fluid Dynamics · Physics 2018-12-26 Myoungkyu Lee , Robert D. Moser

An inertia-gravity wave (IGW) propagating in a vertically sheared, rotating stratified fluid interacts with the pair of inertial levels that surround the critical level. An exact expression for the form of the IGW is derived here in the…

Atmospheric and Oceanic Physics · Physics 2023-07-19 François Lott , Christophe Millet , Jacques Vanneste

In this paper we give a general account of Wave Interaction Theory which by now consists of two parts: kinetic wave turbulence theory (WTT), using a statistical description of wave interactions, and the D-model recently introduced in…

Fluid Dynamics · Physics 2013-10-22 Elena Kartashova

The behaviour of turbulent flows within the single-layer quasi-geostrophic (Charney--Hasegawa--Mima) model is shown to be strongly dependent on the Rossby deformation wavenumber $\lambda$ (or free-surface elasticity). Herein, we derive a…

Chaotic Dynamics · Physics 2009-11-11 Chuong V. Tran , David G. Dritschel

We consider quasi-geostrophic (Q-G) models in two- and three-layers that are useful in theoretical studies of planetary atmospheres and oceans. In these models, the streamfunctions are given by (1+2) partial differen- tial systems of…

Analysis of PDEs · Mathematics 2017-12-01 Sameerah Jamal

The spindown of a geostrophically balanced density front in an upper-ocean mixed layer is simulated with a large eddy simulation (LES) model that resolves O(1000) m down to O(1) m scale. Our goal is to examine the interaction between the…

Atmospheric and Oceanic Physics · Physics 2019-10-18 Vicky Verma , Hieu T. Pham , Sutanu Sarkar

In the paper a new version of semi-phenomenological model is constructed, which allows to calculate the friction velocity u* via the spectrum of waves S and the wind at the standard horizon W. The model is based on the balance equation for…

Atmospheric and Oceanic Physics · Physics 2011-05-18 Vladislav Polnikov

Linear properties of kinetic Alfv\'{e}n waves (KAWs) and kinetic slow waves (KSWs) are studied in the framework of two-fluid magnetohydrodynamics. We obtain the wave dispersion relations that are valid in a wide range of the wave frequency…

Solar and Stellar Astrophysics · Physics 2014-09-16 J. S. Zhao , Y. Voitenko , M. Y. Yu , J. Y. Lu , D. J Wu

Transverse electromagnetic and electrostatic plasma wave modes propagating along a background magnetic field $\vec{B}_0$ are independent according to linear kinetic theory. However, resonant interactions and energy exchange between waves…

Plasma Physics · Physics 2025-09-11 Martín A. Quijada , Pablo S. Moya , Roberto E. Navarro

Interactions between internal solitary waves and floating canopies of varying length and porosity are examined via laboratory experiments and complementary simulations for a miscible, two-layer system. In both approaches, internal solitary…

Fluid Dynamics · Physics 2025-12-05 Jen-Ping Chu , Mitul Luhar , Patrick Lynett

Mountain-generated inertia-gravity waves (IGWs) affect the dynamics of both the atmosphere and the ocean through the mean force they exert as they interact with the flow. A key to this interaction is the presence of critical-level…

Fluid Dynamics · Physics 2017-04-05 Jin-Han Xie , Jacques Vanneste

The central object in wave turbulence theory is the wave kinetic equation (WKE), which is an evolution equation for wave action density and acts as the wave analog of the Boltzmann kinetic equations for particle interactions. Despite recent…

Numerical Analysis · Mathematics 2026-04-21 Kunlun Qi , Lian Shen , Li Wang