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The framework of invariant parameterization is extended to higher-order closure schemes. We also define, for the first time, generalized invariant parameterization schemes, where symmetries of the corresponding original model are preserved…

Atmospheric and Oceanic Physics · Physics 2019-08-20 Alexander Bihlo , Elsa Dos Santos Cardoso-Bihlo , Roman O. Popovych

Variational data assimilation in ocean models depends on the ability to model general correlation operators in the presence of coastlines. Grid-point filters based on diffusion operators are widely used for this purpose, but come with a…

Data Analysis, Statistics and Probability · Physics 2023-12-11 Folke K Skrunes , Mayeul Destouches , Anthony Weaver , Guillaume Coulaud , Olivier Goux , Corentin Lapeyre

The ocean interior regulates Earth's climate but remains sparsely observed due to limited in situ measurements, while satellite observations are restricted to the surface. We present a depth-aware generative framework for reconstructing…

Atmospheric and Oceanic Physics · Physics 2026-04-06 Niloofar Asefi , Tianning Wu , Ruoying He , Ashesh Chattopadhyay

Satellite altimetry combined with data assimilation and optimal interpolation schemes have deeply renewed our ability to monitor sea surface dynamics. Recently, deep learning (DL) schemes have emerged as appealing solutions to address…

Atmospheric and Oceanic Physics · Physics 2023-09-27 Quentin Febvre , Julien Le Sommer , Clément Ubelmann , Ronan Fablet

The vertical upwelling/diffusion model (VUDM) has historically played a key role in shaping our ideas about how the heat balance is achieved in the ocean. Its has been and is still widely used in many applications ranging from the…

Fluid Dynamics · Physics 2017-08-08 Remi Tailleux , Antoine Hochet , David Ferreira , Till Kuhlbrodt , Jonathan Gregory

Sediment transport over wave-induced ripples is a very complex phenomenon where available models fail to provide accurate predictions. For coastal engineering applications, the 1-DV advection-diffusion equation could be used with an…

Geophysics · Physics 2011-06-07 Rafik Absi , Hitoshi Tanaka

Understanding subsurface ocean dynamics is essential for quantifying oceanic heat and mass transport, but direct observations at depth remain sparse due to logistical and technological constraints. In contrast, satellite missions provide…

We present an investigation of the fundamental physical processes involved in deep water wave breaking. Our motivation is to identify the underlying reason causing the deficiency of the eddy viscosity breaking model (EVBM) in predicting…

Fluid Dynamics · Physics 2021-02-02 Anatoliy Khait , Zhihua Ma

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 simple parameterization for coarse-resolution ocean models. To replace computationally expensive high-resolution ocean models, we develop a computationally cheap parameterization for coarse-resolution models based solely on the…

Fluid Dynamics · Physics 2023-05-10 Louis Thiry , Long Li , Etienne Mémin

Climate simulations, at all grid resolutions, rely on approximations that encapsulate the forcing due to unresolved processes on resolved variables, known as parameterizations. Parameterizations often lead to inaccuracies in climate models,…

Data-driven methods for modelling purposes in fluid mechanics are a promising alternative given the continuous increase of both computational power and data-storage capabilities. Highly non-linear flows including turbulence and reaction are…

Fluid Dynamics · Physics 2019-04-18 Zacharias M. Nikolaou , Charalambos Chrysostomou , Yuki Minamoto , Luc Vervisch

Inability of low-resolution ocean models to simulate many important aspects of the large-scale general circulation is a common problem. In the view of physics, the main reason for this failure are the missed dynamical effects of the…

Atmospheric and Oceanic Physics · Physics 2022-09-16 Igor Shevchenko , Pavel Berloff

We consider so-called Leray regularization of the convective contributions. This gives rise to a subgrid parameterization which involves both explicit filtering and (approximate) inversion. The Leray model also arises from the…

Chaotic Dynamics · Physics 2007-05-23 Bernard J. Geurts , Darryl D. Holm

Data from direct numerical simulations of turbulent flows are commonly used to train neural network-based models as subgrid closures for large-eddy simulations; however, models with low a priori accuracy have been observed to fortuitously…

Fluid Dynamics · Physics 2024-09-02 Mark Benjamin , Gianluca Iaccarino

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

This study examines the impact of turbulent mixing on horizontal density compensation in the upper ocean. A series of simulations model the role of mixing in scenarios initialized with geostrophically-adjusted compensated and uncompensated…

Atmospheric and Oceanic Physics · Physics 2019-06-25 Andrey O. Koch , Robert W. Helber , James G. Richman , Charlie N. Barron

Ensemble weather predictions require statistical post-processing of systematic errors to obtain reliable and accurate probabilistic forecasts. Traditionally, this is accomplished with distributional regression models in which the parameters…

Machine Learning · Statistics 2019-04-01 Stephan Rasp , Sebastian Lerch

We evaluate the Community ocean Vertical Mixing (CVMix) project version of the K-profile parameterization (KPP). For this purpose, one-dimensional KPP simulations are compared across a suite of oceanographically relevant regimes against…

In large-eddy simulations, subgrid-scale (SGS) processes are parameterized as a function of filtered grid-scale variables. First-order, algebraic SGS models are based on the eddy-viscosity assumption, which does not always hold for…