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Mesoscale eddies are of utmost importance in understanding ocean dynamics and the transport of heat, salt, and nutrients. Accurate representation of these eddies in ocean models is essential for improving model predictions. However,…

Fluid Dynamics · Physics 2024-06-07 Guosong Wang , Min Hou , Xinrong Wu , Xidong Wang , Zhigang Gao , Hongli Fu , Bo Dan , Chunjian Sun , Xiaoshuang Zhang

Due to computational constraints, climate simulations cannot resolve a range of small-scale physical processes, which have a significant impact on the large-scale evolution of the climate system. Parameterization is an approach to capture…

Atmospheric and Oceanic Physics · Physics 2024-11-12 Cem Gultekin , Adam Subel , Cheng Zhang , Matan Leibovich , Pavel Perezhogin , Alistair Adcroft , Carlos Fernandez-Granda , Laure Zanna

Machine learning (ML) can represent processes unresolved in coarse-resolution Earth system models (ESMs) by learning from high-resolution climate data. Such ML parameterization approaches have been primarily tested in idealized setups where…

Atmospheric and Oceanic Physics · Physics 2026-04-14 Erisa Ismaili , Robert C. Jnglin Wills , Tom Beucler

Parameterizations of O(1-10)km submesoscale flows in General Circulation Models (GCMs) represent the effects of unresolved vertical buoyancy fluxes in the ocean mixed layer. These submesoscale flows interact non-linearly with mesoscale and…

Atmospheric and Oceanic Physics · Physics 2025-02-04 Abigail Bodner , Dhruv Balwada , Laure Zanna

In climate simulations, small-scale processes shape ocean dynamics but remain computationally expensive to resolve directly. For this reason, their contributions are commonly approximated using empirical parameterizations, which lead to…

Machine Learning · Computer Science 2023-11-29 Victor Mangeleer , Gilles Louppe

We present a method for parametrizing sub-grid processes in the Shallow Water equations. We define coarse variables and local spatial averages and use a feed-forward neural network to learn sub-grid fluxes. Our method results in a local…

Fluid Dynamics · Physics 2026-05-06 Md Amran Hossan Mojamder , Zhihang Xu , Min Wang , Ilya Timofeyev

Latent heat flux is a primary pathway for ocean-atmosphere exchange of heat and moisture, yet the influence of sea surface temperature variability at fine scales ($\leq$ 100 km) on latent heat flux variability, particularly over the…

Atmospheric and Oceanic Physics · Physics 2026-02-18 Lucie Reymondet , Lia Siegelman , Luc Lenain

Vertical mixing parameterizations in ocean models are formulated on the basis of the physical principles that govern turbulent mixing. However, many parameterizations include ad hoc components that are not well constrained by theory or…

Atmospheric and Oceanic Physics · Physics 2024-01-23 Aakash Sane , Brandon G. Reichl , Alistair Adcroft , Laure Zanna

Neural networks are a promising technique for parameterizing sub-grid-scale physics (e.g. moist atmospheric convection) in coarse-resolution climate models, but their lack of interpretability and reliability prevents widespread adoption.…

Atmospheric and Oceanic Physics · Physics 2020-12-30 Noah D. Brenowitz , Tom Beucler , Michael Pritchard , Christopher S. Bretherton

Modern climate projections often suffer from inadequate spatial and temporal resolution due to computational limitations, resulting in inaccurate representations of sub-grid processes. A promising technique to address this is the Multiscale…

We present an efficient hybrid Neural Network-Finite Element Method (NN-FEM) for solving the viscous-plastic (VP) sea-ice model. The VP model is widely used in climate simulations to represent large-scale sea-ice dynamics. However, the…

Numerical Analysis · Mathematics 2025-12-11 Nils Margenberg , Carolin Mehlmann

A promising approach to improve climate-model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data-driven. However, neural networks (NNs) often lead…

Atmospheric and Oceanic Physics · Physics 2021-04-07 Janni Yuval , Paul A. O'Gorman , Chris N. Hill

We present an end-to-end deep learning framework for short-term forecasting of global sea surface dynamics based on sparse satellite altimetry data. Building on two state-of-the-art architectures: U-Net and 4DVarNet, originally developed…

Various biological processes such as transport of oxygen and nutrients, thrombus formation, vascular angiogenesis and remodeling are related to cellular/subcellular level biological processes, where mesoscopic simulations resolving detailed…

Water temperature can vary substantially even across short distances within the same sub-watershed. Accurate prediction of stream water temperature at fine spatial resolutions (i.e., fine scales, $\leq$ 1 km) enables precise interventions…

Machine Learning · Computer Science 2025-05-06 Yingda Fan , Runlong Yu , Janet R. Barclay , Alison P. Appling , Yiming Sun , Yiqun Xie , Xiaowei Jia

Long-term, high-fidelity simulation of slow-changing physical systems, such as the ocean and climate, presents a fundamental challenge in scientific computing. Traditional autoregressive machine learning models often fail in these tasks as…

Machine Learning · Computer Science 2026-01-21 Yuan Gao , Hao Wu , Fan Xu , Yanfei Xiang , Ruijian Gou , Ruiqi Shu , Qingsong Wen , Xian Wu , Kun Wang , Xiaomeng Huang

Subgrid processes in global climate models are represented by parameterizations which are a major source of uncertainties in simulations of climate. In recent years, it has been suggested that machine-learning (ML) parameterizations based…

Atmospheric and Oceanic Physics · Physics 2022-12-27 Peidong Wang , Janni Yuval , Paul A. O'Gorman

The representation of nonlinear sub-grid processes, especially clouds, has been a major source of uncertainty in climate models for decades. Cloud-resolving models better represent many of these processes and can now be run globally but…

Atmospheric and Oceanic Physics · Physics 2022-06-08 Stephan Rasp , Michael S. Pritchard , Pierre Gentine

This paper presents and investigates a novel methodology for validating high-resolution ocean models using satellite imagery. High-resolution ocean models provide detailed information in coastal areas where other available data products are…

Atmospheric and Oceanic Physics · Physics 2025-01-28 G. Garcia-Sanchez , A. M. Mancho , A. G. Ramos , J. Coca , J. A. Jimenez-Madrid

We address the question of parameterizing the subgrid scales in simulations of geophysical flows by applying stochastic mode reduction to the one-dimensional stochastically forced shallow water equations. The problem is formulated in…

Fluid Dynamics · Physics 2018-08-17 Matthias Zacharuk , Stamen I. Dolaptchiev , Ulrich Achatz , Ilya Timofeyev
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