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Mesoscale eddies are critical in ocean circulation and the global climate system. Standard eddy identification methods are usually based on deterministic optimal point estimates of the ocean flow field. However, uncertainty exists in…

Dynamical Systems · Mathematics 2024-09-24 Jeffrey Covington , Nan Chen , Stephen Wiggins , Evelyn Lunasin

We prove global well-posedness of the ocean primitive equations coupled to advection-diffusion equations of the oceanic tracers temperature and salinity that are supplemented by the eddy parametrization model due to Gent-McWilliams and…

Analysis of PDEs · Mathematics 2024-09-12 Peter Korn , Edriss S. Titi

"Eddy saturation" is the regime in which the total time-mean volume transport of an oceanic current is relatively insensitive to the wind stress forcing and is often invoked as a dynamical description of Southern Ocean circulation. We…

Atmospheric and Oceanic Physics · Physics 2019-12-04 Navid C. Constantinou , Andrew McC. Hogg

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

Numerical Analysis · Mathematics 2026-01-06 Robert Altmann , Idoia Cortes Garcia , Elias Paakkunainen , Philipp Schulze , Sebastian Schöps

We address the question of how to use a machine learned parameterization in a general circulation model, and assess its performance both computationally and physically. We take one particular machine learned parameterization…

Atmospheric and Oceanic Physics · Physics 2023-03-03 Cheng Zhang , Pavel Perezhogin , Cem Gultekin , Alistair Adcroft , Carlos Fernandez-Granda , Laure Zanna

Mesoscale eddies remain poorly represented in most climate models, motivating the use of parameterizations to account for their dynamical effects on the coupled system. In this study, we implement a data-driven eddy parameterization based…

Atmospheric and Oceanic Physics · Physics 2026-03-30 Jia-Rui Shi , Pavel Perezhogin , Laure Zanna , Alistair Adcroft

Understanding the statistics of ocean geostrophic turbulence is of utmost importance in understanding its interactions with the global ocean circulation and the climate system as a whole. Here, a study of eddy-mixing entropy in a…

Fluid Dynamics · Physics 2017-02-28 Tomos W. David , Laure Zanna , David P. Marshall

In this paper we propose a new modeling framework for large eddy simulations (LES) of particle-laden turbulent flows that captures the interaction between the particle and fluid phase on both the resolved and subgrid-scales. Unlike the vast…

Fluid Dynamics · Physics 2023-10-26 Max Hausmann , Fabien Evrard , Berend van Wachem

"Eddy saturation" refers to a regime in which the total volume transport of an oceanic current is insensitive to the wind stress strength. Baroclinicity is currently believed to be key to the development of an eddy-saturated state. In this…

Atmospheric and Oceanic Physics · Physics 2018-02-22 Navid C. Constantinou

The Global Overturning Circulation (GOC) is a key component of the climate system, transporting heat, carbon, and salt throughout the global ocean. Previous reduced-dimensional models have sought to represent this three-dimensional…

Atmospheric and Oceanic Physics · Physics 2025-10-23 Elian Vanderborght , Henk A. Dijkstra

The Internal wave Dissipation, Energy and Mixing (IDEMIX) model presents a novel way of parameterizing internal gravity waves in the atmosphere. Using a continuous full wave spectrum in the energy balance equation and integrating over all…

Atmospheric and Oceanic Physics · Physics 2023-11-23 B. Quinn , C. Eden , D. Olbers , G. S. Voelker , U. Achatz

This paper puts forth a new large eddy simulation closure modeling strategy for two-dimensional turbulent geophysical flows. This closure modeling approach utilizes approximate deconvolution, which is based solely on mathematical…

Atmospheric and Oceanic Physics · Physics 2013-10-08 Omer San , Anne E. Staples , Zhu Wang , Traian Iliescu

Entropic dynamics (ED) is a framework that allows one to derive quantum theory as a Hamilton-Killing flow on the cotangent bundle of a statistical manifold. These flows are such that they preserve the symplectic and the (information) metric…

Quantum Physics · Physics 2025-11-25 Ariel Caticha

The present work aims to revisit the simplifications made in the Navier-Stokes equations for the flow between two cylinders with a small thickness of lubricating oil film. Through a dimensionless analysis, the terms of these equations are…

Fluid Dynamics · Physics 2021-10-01 J. A. Mota , D. J. G. Maldonado , J. V. Valério , T. G. Ritto

In this work, eddy diffusivity is derived from the energy spectra for the stable and convective regimes in the planetary boundary layer. The energy spectra are obtained from a spectral model for the inertial subrange that considers the…

Atmospheric and Oceanic Physics · Physics 2024-08-20 A. Goulart , J. M. S. Suarez , M. J. Lazo , J. C. Marques

Ocean mesoscale variability, a key component of the climate system, influences ocean circulation and heat, gas, carbon and nutrient distribution. Trends on Eddy Kinetic Energy (EKE), a metric measuring its intensity, are investigated using…

Atmospheric and Oceanic Physics · Physics 2025-07-17 Bàrbara Barceló-Llull , Pere Rosselló , Vincent Combes , Antonio Sánchez-Román , M. Isabelle Pujol , Ananda Pascual

One mechanistic interpretation of baroclinic instability is that of mutual constructive interference of Rossby edge-waves. While the two edge-waves and their relative phase-shifts are invoked as part of the mechanistic interpretation, the…

Fluid Dynamics · Physics 2024-08-28 Julian Mak , Nili Harnik , Eyal Heifetz , Gautam Kumar , Ellie Q. Y. Ong

An optimisation scheme is developed to accurately represent the sub-grid scale forcing of a high dimensional chaotic ocean system. Using a simple parameterisation scheme, the velocity components of a 30km resolution shallow water ocean…

Atmospheric and Oceanic Physics · Physics 2015-05-20 Fenwick C. Cooper , Laure Zanna

We present a one-equation subgrid scale model that evolves the turbulence energy corresponding to unresolved velocity fluctuations in large eddy simulations. The model is derived in the context of the Germano consistent decomposition of the…

Astrophysics · Physics 2009-11-11 W. Schmidt , J. C. Niemeyer , W. Hillebrandt

We consider stability of regimes of hydromagnetic thermal convection in a rotating horizontal layer with free electrically conducting boundaries, to perturbations involving large spatial and temporal scales. Equations governing the…

Chaotic Dynamics · Physics 2009-11-13 V. Zheligovsky