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Complex nonlinear turbulent dynamical systems are ubiquitous in many areas. Recovering unobserved state variables is an important topic for the data assimilation of turbulent systems. In this article, an efficient continuous in time data…

Fluid Dynamics · Physics 2021-11-03 Nan Chen , Yuchen Li , Evelyn Lunasin

We present a large ensemble of simulations of an Earth-like world with increasing insolation and rotation rate. Unlike previous work utilizing idealized aquaplanet configurations we focus our simulations on modern Earth-like topography. The…

Earth and Planetary Astrophysics · Physics 2018-12-12 M. J. Way , A. D. Del Genio , I. Aleinov , T. L. Clune , M. Kelley , N. Y. Kiang

The regimes 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 with simplified (linear)…

Earth and Planetary Astrophysics · Physics 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

In applications such as free-space optical communication, a signal is often recovered after propagation through a turbulent medium. In this setting, it is common to assume that limited information is known about the turbulent medium, such…

Optics · Physics 2025-10-13 Anjali Nair , Qin Li , Samuel N. Stechmann

The Atlantic surface currents associated with the Atlantic Meridional Overturning Circulation (AMOC) play a central role in regulating Earth's climate, yet their large scale dynamical response to climate variability remains poorly…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Han Huang , Ningning Tao , Hongyu Wang , Teng Liu , Fei Xie , Xichen Li , Yongwen Zhang , Niklas Boers , Jingfang Fan , Deliang Chen , Xiaosong Chen

With the success of machine learning (ML) applied to climate reaching further every day, emulators have begun to show promise not only for weather but for multi-year time scales in the atmosphere. Similar work for the ocean remains nascent,…

Atmospheric and Oceanic Physics · Physics 2024-08-05 Surya Dheeshjith , Adam Subel , Shubham Gupta , Alistair Adcroft , Carlos Fernandez-Granda , Julius Busecke , Laure Zanna

Tipping points (TP) in climate sub-systems are usually thought to occur at a well-defined, critical forcing parameter threshold, via destabilization of the system state by a single, dominant positive feedback. However, coupling to other…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Johannes Lohmann , Henk A. Dijkstra , Markus Jochum , Valerio Lucarini , Peter D. Ditlevsen

A simplified model of natural convection, similar to the Lorenz (1963) system, is compared to computational fluid dynamics simulations in order to test data assimilation methods and better understand the dynamics of convection. The…

Dynamical Systems · Mathematics 2012-04-23 Kameron Decker Harris , El Hassan Ridouane , Darren L. Hitt , Christopher M. Danforth

Data assimilation plays a crucial role in modern weather prediction, providing a systematic way to incorporate observational data into complex dynamical models. The paper addresses continuous data assimilation for a model arising as a…

Analysis of PDEs · Mathematics 2026-02-03 Eduard Feireisl , Piotr Gwiazda , Agnieszka Świerczewska-Gwiazda

A model-data inversion is applied to a very large observational dataset collected in the Southern Ocean north of the Ross Sea during late autumn to early winter, producing estimates of the frequency-dependent rate of dissipation by sea ice.…

Atmospheric and Oceanic Physics · Physics 2020-06-16 W. Erick Rogers , Michael H. Meylan , Alison L. Kohout

Marine shallow cumulus clouds have long caused large uncertainty in climate projections. These clouds frequently organize into mesoscale (10-500 km) structures, through two processes that couple the clouds to shallow mesoscale circulations:…

Atmospheric and Oceanic Physics · Physics 2025-06-03 Pouriya Alinaghi , Martin Janssens , Fredrik Jansson

We consider the assimilation of Lagrangian data into a primitive equations circulation model of the ocean at basin scale. The Lagrangian data are positions of floats drifting at fixed depth. We aim at reconstructing the four-dimensional…

Optimization and Control · Mathematics 2009-11-13 Maëlle Nodet

The Southern Ocean plays an integral role in the global climate system, exchanging heat, salt, and carbon throughout the major ocean basins via the deep, fast-flowing Antarctic Circumpolar Current. The Antarctic Circumpolar Current is…

Atmospheric and Oceanic Physics · Physics 2023-03-16 Michael C Denes , Shane R Keating , Gary Froyland

We use a linear shallow-water model to investigate the global circulation of the atmospheres of tidally locked planets. Simulations, observations, and simple models show that if these planets are sufficiently rapidly rotating, their…

Earth and Planetary Astrophysics · Physics 2018-12-26 Mark Hammond , Raymond T. Pierrehumbert

We examine thermal convection in a two-dimensional annulus using fully resolved direct numerical simulation (DNS) in conjunction with a low-dimensional model deriving from Galerkin truncation of the governing Navier-Stokes Boussinesq (NSB)…

Fluid Dynamics · Physics 2023-07-27 Jinzi Mac Huang , Nicholas J. Moore

Understanding local currents in the North Atlantic region of the ocean is a key part of modelling heat transfer and global climate patterns. Satellites provide a surface signature of the temperature of the ocean with a high horizontal…

Atmospheric and Oceanic Physics · Physics 2019-10-22 Gautier Cosne , Guillaume Maze , Pierre Tandeo

A deep learning (DL) model, based on a transformer architecture, is trained on a climate-model dataset and compared with a standard linear inverse model (LIM) in the tropical Pacific. We show that the DL model produces more accurate…

Atmospheric and Oceanic Physics · Physics 2024-06-12 Zilu Meng , Gregory J. Hakim

The sensitivity of the Atlantic Meridional Overturning Circulation (AMOC) to changes in basin integrated net evaporation is highly dependent on the zonal salinity contrast at the southern border of the Atlantic. Biases in the freshwater…

Atmospheric and Oceanic Physics · Physics 2012-10-26 Andrea A. Cimatoribus , Matthijs den Toom , Sybren S. Drijfhout , Henk A. Dijkstra

Anticipating critical transitions in the Earth system is of great societal relevance, yet there may be intrinsic limitations to their predictability. For instance, from the theory of dynamical systems possessing multiple chaotic attractors,…

Chaotic Dynamics · Physics 2024-01-30 Oliver Mehling , Reyk Börner , Valerio Lucarini

A real time assimilation and forecasting system for coastal currents is presented. The purpose of the system is to deliver current analyses and forecasts based on assimilation of high frequency radar surface current measurements. The local…

Atmospheric and Oceanic Physics · Physics 2012-10-01 Øyvind Breivik , Øyvind Saetra