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A promising approach to improve cloud parameterizations within climate models and thus climate projections is to use deep learning in combination with training data from storm-resolving model (SRM) simulations. The ICOsahedral…

Atmospheric and Oceanic Physics · Physics 2023-04-18 Arthur Grundner , Tom Beucler , Pierre Gentine , Fernando Iglesias-Suarez , Marco A. Giorgetta , Veronika Eyring

Machine learning (ML)-based parameterizations have been developed for Earth System Models (ESMs) with the goal to better represent subgrid-scale processes or to accelerate computations. ML-based parameterizations within hybrid ESMs have…

Atmospheric and Oceanic Physics · Physics 2024-09-23 Helge Heuer , Mierk Schwabe , Pierre Gentine , Marco A. Giorgetta , Veronika Eyring

We introduce a data-driven learning framework that assimilates two powerful ideas: ideal large eddy simulation (LES) from turbulence closure modeling and neural stochastic differential equations (SDE) for stochastic modeling. The ideal LES…

Numerical Weather Prediction (NWP) models that integrate coupled physical equations forward in time are the traditional tools for simulating atmospheric processes and forecasting weather. With recent advancements in deep learning, AI-based…

Computational Physics · Physics 2025-12-22 Milton Gomez , Louis Poulain--Auzeau , Alexis Berne , Tom Beucler

Large-eddy simulations (LES) and implicit LES (ILES) are wise and affordable alternatives to the unfeasible direct numerical simulations (DNS) of turbulent flows at high Reynolds numbers (Re). However, for systems with few observational…

Solar and Stellar Astrophysics · Physics 2022-04-13 H. D. Nogueira , G. Guerrero , P. K. Smolarkiewicz , A. G. Kosovichev

Persistent systematic errors in Earth system models (ESMs) arise from difficulties in representing the full diversity of subgrid, multiscale atmospheric convection and turbulence. Machine learning (ML) parameterizations trained on short…

Atmospheric and Oceanic Physics · Physics 2026-05-18 Helge Heuer , Tom Beucler , Mierk Schwabe , Julien Savre , Manuel Schlund , Veronika Eyring

As Numerical Weather Prediction (NWP) models approach hectometric resolution, they increasingly enter a regime where urban heterogeneity is only partially resolved and the assumptions underlying conventional urban canopy models (UCMs)…

Fluid Dynamics · Physics 2026-05-21 Jingzi Huang , Maarten van Reeuwijk

We discuss the computational challenges and requirements for high-resolution climate simulations using the Icosahedral Nonhydrostatic Weather and Climate Model (ICON). We define a detailed requirements model for ICON which emphasizes the…

Atmospheric and Oceanic Physics · Physics 2024-05-24 Torsten Hoefler , Alexandru Calotoiu , Anurag Dipankar , Thomas Schulthess , Xavier Lapillonne , Oliver Fuhrer

In numerical weather prediction (NWP), a large number of observations are used to create initial conditions for weather forecasting through a process known as data assimilation. An assessment of the value of these observations for NWP can…

Forecasting the weather is an increasingly data intensive exercise. Numerical Weather Prediction (NWP) models are becoming more complex, with higher resolutions, and there are increasing numbers of different models in operation. While the…

Applications · Statistics 2021-03-17 Charlie Kirkwood , Theo Economou , Henry Odbert , Nicolas Pugeault

Numerical Weather Prediction (NWP), is widely used in precipitation forecasting, based on complex equations of atmospheric motion requires supercomputers to infer the state of the atmosphere. Due to the complexity of the task and the huge…

Signal Processing · Electrical Eng. & Systems 2020-01-10 Xinyu Xiao , Qiuming Kuang , Shiming Xiang , Junnan Hu , Chunhong Pan

We examine and benchmark the emerging idea of applying the large-eddy simulation (LES) formalism to unconventionally coarse grids where RANS would be considered more appropriate at first glance. We distinguish this idea from…

Fluid Dynamics · Physics 2023-10-17 Yuanwei Bin , George I. Park , Yu Lv , Xiang I. A. Yang

The predictive accuracy of wall-modelled LES is influenced by a combination of the subgrid model, the wall model, the numerical dissipation induced primarily by the convective numerical scheme, and also by the density and topology of the…

Fluid Dynamics · Physics 2020-09-02 Timofey Mukha , Rickard E. Bensow , Mattias Liefvendahl

A large number of Deep Learning Weather Prediction (DLWP) architectures -- based on various backbones, including U-Net, Transformer, Graph Neural Network, and Fourier Neural Operator (FNO) -- have demonstrated their potential at forecasting…

For high-fidelity predictions of turbulent flows in complex practical engineering problems, the Wall-Modeled (WM) Large-Eddy Simulation (LES) has aroused great interest. In the present study, we prove that the conventional Wall-Stress…

Fluid Dynamics · Physics 2025-11-12 Mohammad Taghvaei , Ehsan Amani

High Reynolds Homogeneous Isotropic Turbulence is fully described within the Navier-Stokes (NS) equations, which are notoriously difficult to solve numerically. Engineers, interested primarily in describing turbulence at a reduced range of…

Understanding regional hydroclimatic variability and its drivers is essential for anticipating the impacts of climate change on water resources and sustainability. Yet, considerable uncertainty remains in the simulation of the coupled land…

Atmospheric and Oceanic Physics · Physics 2025-11-05 J. L. Roque , F. Da Silva Lopes , J. A. Giles , B. D. Gutknecht , B. Schalge , Y. Zhang , M. Ferro , P. Friederichs , K. Goergen , S. Poll , A. Valmassoi

Large eddy simulations (LES) are a powerful tool in understanding processes that are inaccessible by direct simulations due to their complexity, for example, in the highly turbulent regime. However, their accuracy and success depends on a…

Fluid Dynamics · Physics 2017-03-27 Philipp Grete , Dimitar G Vlaykov , Wolfram Schmidt , Dominik R G Schleicher

Simulating abundances of stable water isotopologues, i.e. molecules differing in their isotopic composition, within climate models allows for comparisons with proxy data and, thus, for testing hypotheses about past climate and validating…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Jonathan Wider , Jakob Kruse , Nils Weitzel , Janica C. Bühler , Ullrich Köthe , Kira Rehfeld

Data-driven subgrid-scale (SGS) modeling in the large-eddy simulations (LES) suffers from the inconsistency between the \textit{a priori} tests and the a posteriori tests, which make training accurate SGS models a difficult task. We study…

Fluid Dynamics · Physics 2025-11-21 Xinyi Huang , Sze Chai Leung , H. Jane Bae
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