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Effects of subgrid-scale gravity waves (GWs) on the diurnal migrating tides are investigated from the mesosphere to the upper thermosphere for September equinox conditions, using a general circulation model coupled with the extended…

Atmospheric and Oceanic Physics · Physics 2017-04-26 Erdal Yiğit , Alexander S. Medvedev

Gravity waves (GWs) are a fundamental driver of circulation, tracer transport, and mixing in the middle and upper atmosphere, but their treatment in global circulation models remains incomplete. In particular, standard parameterizations…

Wind forcing of the ocean generates a spectrum of inertia-gravity waves that is sharply peaked near the local inertial (or Coriolis) frequency. The corresponding near-inertial waves (NIWs) are highly energetic and play a significant role in…

Fluid Dynamics · Physics 2023-07-19 Jin-Han Xie , Jacques Vanneste

Parametrizations for internal gravity waves in atmospheric models are traditionally subject to a number of simplifications. Most notably, they rely on both neglecting wave propagation and advection in the horizontal direction (single-column…

Fluid Dynamics · Physics 2024-02-28 Georg S. Voelker , Gergely Bölöni , Young-Ha Kim , Günther Zängl , Ulrich Achatz

The Weak Turbulence Theory is a statistical framework to describe a large ensemble of nonlinearly interacting waves. The archetypal example of such system is the ocean surface that is made of interacting surface gravity waves. Here we…

Quasilinear theory is often utilized to approximate the dynamics of fluids exhibiting significant interactions between mean flows and eddies. In this paper we present a generalization of quasilinear theory to include dynamic mode…

Fluid Dynamics · Physics 2016-05-30 J. B. Marston , G. P. Chini , S. M. Tobias

Previous work has developed the theory of linearized gravitational wave (GW) interactions with matter using the Bondi-Sachs formalism, but with the perturbations restricted to be quadrupolar, i.e., the angular dependence is spherical…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Ulrich K. Beckering Vinckers , Nigel T. Bishop

Conventional gravity-wave (GW) parameterizations neglect three aspects of GW dynamics. Instead of momentum and entropy fluxes they use Eliassen-Palm fluxes, thereby neglecting the possibility that resolved flow are not in geostrophic and…

Atmospheric and Oceanic Physics · Physics 2025-09-29 Tobias Kühner , Georg Sebastian Voelker , Ulrich Achatz

Atmospheric gravity waves (GWs) are generated in the lower atmosphere by various weather phenomena. They propagate upward, carry energy and momentum to higher altitudes, and appreciably influence the general circulation upon depositing them…

Space Physics · Physics 2020-12-29 Erdal Yiğit , Alexander S. Medvedev , Manfred Ern

Global climate models typically operate at a grid resolution of hundreds of kilometers and fail to resolve atmospheric mesoscale processes, e.g., clouds, precipitation, and gravity waves (GWs). Model representation of these processes and…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Aman Gupta , Aditi Sheshadri , Sujit Roy , Vishal Gaur , Manil Maskey , Rahul Ramachandran

Global climate models parameterize a range of atmospheric-oceanic processes like gravity waves, clouds, moist convection, and turbulence that cannot be sufficiently resolved. These subgrid-scale closures for unresolved processes are a…

Atmospheric and Oceanic Physics · Physics 2025-09-05 Aman Gupta , Aditi Sheshadri , Sujit Roy , Johannes Schmude , Vishal Gaur , Wei Ji Leong , Manil Maskey , Rahul Ramachandran

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 review the theory of wave interaction in finite and infinite depth. Both of these strands of water-wave research begin with the deterministic governing equations for water waves, from which simplified equations can be derived to model…

Fluid Dynamics · Physics 2019-09-11 Raphael Stuhlmeier , Teodor Vrecica , Yaron Toledo

A Lagrangian gravity-wave parameterization (MS-GWaM, Multi-Scale Gravity-Wave Model) that allows for fully transient wave-mean-flow interaction and horizontal propagation is applied to orographic gravity waves for the first time. Both…

Fluid Dynamics · Physics 2024-08-07 Felix Jochum , Ray Chew , François Lott , Georg S. Voelker , Jan Weinkaemmerer , Ulrich Achatz

This paper develops a reduced-order framework for modelling the two-way coupling between gravity waves and turbulent wakes in large-scale wind farms. Linearising the non-hydrostatic Boussinesq equations and introducing simplifications…

Fluid Dynamics · Physics 2026-05-29 Hossein A. Kafiabad , Majid Bastankhah

The last decade has seen a significant increase in the number of studies devoted to wave turbulence. Many deal with water waves, as modeling of ocean waves has historically motivated the development of weak turbulence theory, which adresses…

Fluid Dynamics · Physics 2021-07-09 Eric Falcon , Nicolas Mordant

We develop a theory of turbulence of weak random gravity waves on surface of deep water in which the main nonlinear process at high-frequency part of the spectrum is a nonlocal interaction with a strong low-frequency component. The latter…

Fluid Dynamics · Physics 2024-09-05 A. O. Korotkevich , S. V. Nazarenko , Y. Pan , J. Shatah

A novel mathematical nonlinear theory of surface gravity waves in deep water is presented, in which analytical analysis of the classical nonlinear equations of fluid dynamics is performed under less restrictive assumptions than those…

Fluid Dynamics · Physics 2022-02-24 Ilia Mindlin

A reduced dynamical model is derived which describes the interaction of weak inertia-gravity waves with nonlinear vortical motion in the context of rotating shallow-water flow. The formal scaling assumptions are (i) that there is a…

chao-dyn · Physics 2009-10-28 Caroline Nore , Theodore G. Shepherd

A challenge in physical oceanography is quantifying the energy content of waves and balanced flows and the fluxes that connect these reservoirs with their sources and sinks. Methodological limitations have prevented decompositions for…

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