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We investigate nonlinear energy transfer for channel flows at friction Reynolds numbers of $Re_{\tau}=180$ and $590$. The key feature of the analysis is that we introduce a new variable, which quantifies the energy transferred from a source…

Fluid Dynamics · Physics 2025-01-15 Jitong Ding , Daniel Chung , Simon J. Illingworth

The formation of zonal flows from inhomogeneous drift-wave (DW) turbulence is often described using statistical theories derived within the quasilinear approximation. However, this approximation neglects wave--wave collisions. Hence, some…

Plasma Physics · Physics 2019-01-10 D. E. Ruiz , M. E. Glinsky , I. Y. Dodin

We present a method based on acoustic wavenumber imaging algorithms to quantify the spectral content of strongly nonlinear energy scattering of a propagating wavefront across the discrete-continuum interface of a 2D hybrid system composed…

Statistical Mechanics · Physics 2025-09-22 Joshua R. Tempelman , Chongan Wang , Alexander F. Vakakis

Consistency relations of internal gravity waves (IGWs) describe ratios of cross-spectral quantities as functions of frequency. It has been a common practice to evaluate the measured or simulated signals (e.g., time series of velocity,…

Atmospheric and Oceanic Physics · Physics 2025-11-06 Guangyao Wang , Yue Wu , Yulin Pan , Kayhan Momeni , Joseph Skitka , Dimitris Menemenlis , Brian K. Arbic , William R. Peltier

Energy flux is an acoustic propagation model that calculates the locally-averaged intensity without computing explicit eigenvalues or tracing rays. The energy flux method has so far only been used for two-dimensional problems that have…

Computational Physics · Physics 2022-04-04 Mark Langhirt , Charles Holland , Sheri Martinelli , Ying-Tsong Lin , Dan Brown

Ocean turbulence plays a key role in shaping large-scale circulation, heat uptake, and biogeochemical processes. The kinetic energy (KE) wavenumber spectrum is a fundamental diagnostic, quantifying how KE is distributed across spatial…

Atmospheric and Oceanic Physics · Physics 2026-05-12 Ayantika Bhattacharjee , Spencer Jones , Dhruv Balwada , Shane Elipot , Manuel Gutierrez-Villanueva

Weakly nonlinear internal wave-wave interaction is a key mechanism that cascades energy from large to small scales, leading to ocean turbulence and mixing. Oceans typically have a non-uniform density stratification profile; moreover,…

Fluid Dynamics · Physics 2022-07-13 Saranraj Gururaj , Anirban Guha

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

We investigate the energy cascade in wall-bounded turbulence by analysing the interscale transfer between streamwise and spanwise length scales in periodic channels. This transfer originates from the nonlinear interactions in the advective…

Fluid Dynamics · Physics 2025-11-10 Joy Chen , Ricardo Garcia-Mayoral

The time evolution emanating from "internal dam-break" initial conditions is studied for a class of models of stratified Euler fluids in configurations close to two-homogeneous layers separated by a thin diffused interface. Direct numerical…

Fluid Dynamics · Physics 2017-03-28 Shengqian Chen

Starting from the classical formulation of the weak turbulence theory in a density stratified fluid, we derive a simplified version of the kinetic equation of internal gravity wave turbulence. This equation allows us to uncover scaling laws…

Fluid Dynamics · Physics 2024-02-01 Nicolas Lanchon , Pierre-Philippe Cortet

A new ocean wave/sea-ice interaction model is proposed that simulates how a directional wave spectrum evolves as it travels through an arbitrary finite array of circular ice floes, where wave/ice dynamics are entirely governed by wave…

Atmospheric and Oceanic Physics · Physics 2015-06-19 Fabien Montiel , Vernon Squire , Luke Bennetts

Direct phase-resolved simulations are performed to investigate the propagation and scattering of nonlinear ocean waves in fragmented sea ice. The numerical model solves the full time-dependent equations for nonlinear potential flow coupled…

Fluid Dynamics · Physics 2022-11-30 Boyang Xu , Philippe Guyenne

Internal solitary waves (ISWs) are gravity waves that are often observed in the interior ocean rather than the surface. They hold significant importance due to their capacity to carry substantial energy, thus influence pollutant transport,…

Machine Learning · Computer Science 2024-06-21 Zhang Wan , Shuo Wang , Xudong Zhang

Since the advent of satellite altimetry, our perception of the oceanic circulation has brought into focus the pervasiveness of mesoscale eddies that have typical scales of tens to hundreds of kilometers [5], are the ocean's analogue of…

Atmospheric and Oceanic Physics · Physics 2022-10-12 Benjamin A. Storer , Michele Buzzicotti , Hemant Khatri , Stephen M. Griffies , Hussein Aluie

The theory of low-frequency (in comparison with the ion cyclotron frequency), long wavelength, electrostatic drift ion-acoustic waves (IAWs) is studied in a nonuniform rotating magnetoplasma with two temperature superthermal electrons. In…

Plasma Physics · Physics 2022-03-14 A. Abdikian , M. Eghbali , A. P. Misra

We consider the problem of modeling a single qubit in contact with a one-dimensional waveguide beyond the standard perturbative and Markovian approximations. Using the recently developed input-output hierarchical equations of motion…

Quantum Physics · Physics 2026-05-21 Neill Lambert , Yi-Te Huang , Yueh-Nan Chen , Paul Menczel , Franco Nori

This paper extends energy flux methods to handle three-dimensional ocean acoustic environments, the implemented solution captures horizontally refracted incoherent acoustic intensity, and its required computational effort is predominantly…

Computational Physics · Physics 2025-06-05 Mark Langhirt , Charles Holland , Ying-Tsong Lin

Recent developments of the weak turbulence theory applied to internal waves exhibit a power-law solution of the kinetic energy equation close to the oceanic Garrett \& Munk spectrum, confirming weakly nonlinear wave interactions as a likely…

Seismic coda waves, once regarded as noise, are now recognized as key indicators of wave scattering in seismograms. Aki (1969) first proposed that these waves result from small-scale heterogeneities in the Earth's interior, spurring…

Geophysics · Physics 2025-07-11 Ning Liu , Wen-Tao Hu