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The past years have seen the success of a novel multiscale energetic formalism in a variety of ocean and engineering fluid applications. In a self-contained way, this study introduces it to the atmospheric dynamical diagnostics, with…

Atmospheric and Oceanic Physics · Physics 2016-06-21 X. San Liang

Continuing from Part 1 (Hern\'andez \emph{et al.}, \emph{arXiv:2108.12395}, 2021), a generalized quasilinear (GQL) approximation is studied in turbulent channel flow using a flow decomposition defined with spanwise Fourier modes: the flow…

Fluid Dynamics · Physics 2022-07-13 Carlos G. Hernandez , Qiang Yang , Yongyun Hwang

In this paper, using multiple scale analysis we derive a generalized mathematical model for amplitude evolution, and for calculating the energy exchange in resonant and near-resonant global triads consisting of weakly nonlinear internal…

Fluid Dynamics · Physics 2020-05-27 G. Saranraj , Anirban Guha

We study the nonlinear interactions of waves with a doubled-peaked power spectrum in shallow water. The starting point is the prototypical equation for nonlinear uni-directional waves in shallow water, i.e. the Korteweg de Vries equation.…

Chaotic Dynamics · Physics 2009-11-07 M. Onorato , D. Ambrosi , A. R. Osborne , M. Serio

Wave Kinetic Equations (WKEs) are often used to describe the evolution of ensemble averaged wave amplitudes for nonlinear wave systems. In the present manuscript we describe a new approach to direct numerical simulation of solutions to…

Numerical Analysis · Mathematics 2025-09-04 J. W. Banks , J. Shatah

Enstrophy, kinetic energy (KE) fluxes and spectra are estimated in different parts of the mid-latitudinal oceans via altimetry data. To begin with, using geostrophic currents derived from sea-surface height anomaly data provided by AVISO,…

Atmospheric and Oceanic Physics · Physics 2018-08-01 Hemant Khatri , Jai Sukhatme , Abhishek Kumar , Mahendra K. Verma

Nonlinear energy exchange between vibrational modes underlies phenomena ranging from internal resonance to wave mixing, yet modal interactions are typically inferred from frequency-domain signatures rather than directly observed in space.…

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

The routes mechanical energy takes from injection to dissipation in the ocean are currently an open problem. The goals of this project are to: 1) Study the energy exchanges between near-inertial waves and the balanced flow using idealized…

Atmospheric and Oceanic Physics · Physics 2020-08-04 André Palóczy

The CO2 gas transfer velocity (KCO2) at air-water interface in a wind-wave flume was estimated at the circumstance of wave breaking. Three types of dynamic processes in the flume were created: monochromatic waves generated by wavemaker,…

Atmospheric and Oceanic Physics · Physics 2021-11-24 Shuo Li , Alexander V. Babanin , Fangli Qiao , Dejun Dai , Shumin Jiang , Changlong Guan

We analyze the distortion of wind-generated near-inertial waves by steady and unsteady barotropic quasi-geostrophic eddies, with a focus on the evolution of the horizontal wavevector $\boldsymbol{k}$ under the effects of mesoscale strain…

Atmospheric and Oceanic Physics · Physics 2020-12-30 Olivier Asselin , Leif N. Thomas , William R. Young , Luc Rainville

Extensive studies have investigated the transition mechanism of boundary layers initiated by a single primary instability. In a real-world scenario, however, multiple primary instabilities of different physical nature would coexist and…

Fluid Dynamics · Physics 2026-03-18 Xiao-Bai Li , Yifeng Chen , Chihyung Wen , Peixu Guo

The energetics of possible global atmospheric circulation patterns in an Earth-like atmosphere are explored using a simplified GCM based on the University of Hamburg's Portable University Model for the Atmosphere. Results from a series of…

Earth and Planetary Astrophysics · Physics 2019-06-19 Peter Read , Fachreddin Tabataba-Vakili , Yixiong Wang , Pierre Augier , Erik Lindborg , Alexandru Valeanu , Roland Young

Energy transfer among various spectral components of fluctuating physical parameters in plasma occurs due to the nonlinear interactions, but these effects are typically not captured by the traditional linear spectral methods. Plasma density…

Reduced fluid models for collisionless plasmas including electron inertia and finite Larmor radius corrections are derived for scales ranging from the ion to the electron gyroradii. Based either on pressure balance or on the…

Plasma Physics · Physics 2018-01-23 T. Passot , P. L. Sulem , E. Tassi

The geographical variability, frequency content, and vertical structure of near-surface oceanic kinetic energy (KE) are important for air-sea interaction, marine ecosystems, operational oceanography, pollutant tracking, and interpreting…

Inhomogeneous drift-wave turbulence can be modeled as an effective plasma where drift waves act as quantumlike particles and the zonal-flow velocity serves as a collective field through which they interact. This effective plasma can be…

Plasma Physics · Physics 2018-05-30 Hongxuan Zhu , Yao Zhou , D. E. Ruiz , I. Y. Dodin

In this work we investigate the spatio-temporal nature of various coherent modes present in a rotor wake using a combination of new PIV experiments and data from Biswas and Buxton (2024). A multi-scale triple decomposition of the acquired…

Fluid Dynamics · Physics 2024-02-21 Neelakash Biswas , Oliver R. H. Buxton

We study the evolution of fronts in a bistable reaction-diffusion system when the nonlinear reaction term is spatially non-homogeneous. This equation has been used to model wave propagation in various biological systems. Extending previous…

Pattern Formation and Solitons · Physics 2009-10-31 Horacio G. Rotstein , Anatol M. Zhabotinsky , Irving R. Epstein

Previously, using an incompressible von K\'arm\'an-Howarth formalism, the behavior of cross-scale energy transfer in magnetic reconnection and turbulence was found to be essentially identical to each other, independent of an external…