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The aim of this study is to improve the prediction of near-wall mean streamwise velocity profile $U^+$ by using a simple method. The $U^+$ profile is obtained by solving the momentum equation which is written as an ordinary differential…

Fluid Dynamics · Physics 2011-06-07 Rafik Absi

This paper extends our recent theoretical work concerning the feasibility of stable and accurate computation of turbulence using a large eddy simulation [Ida and Taniguchi, Phys. Rev. E 68, 036705 (2003)]. In our previous paper, it was…

Fluid Dynamics · Physics 2007-05-23 Masato Ida , Nobuyuki Taniguchi

Despite well-known limitations of Reynolds-averaged Navier-Stokes (RANS) simulations, this methodology remains the most widely used tool for predicting many turbulent flows, due to computational efficiency. Machine learning is a promising…

Fluid Dynamics · Physics 2022-03-14 Ryley McConkey , Eugene Yee , Fue-Sang Lien

Most chemistry and cloud formation models for planetary atmospheres adopt a one-dimensional (1D) diffusion approach to approximate the global-mean vertical tracer transport. The physical underpinning of the key parameter in this framework,…

Earth and Planetary Astrophysics · Physics 2018-10-17 Xi Zhang , Adam P. Showman

Oceanic eddy kinetic energy (EKE) is a key quantity for measuring the intensity of mesoscale eddies and for parameterizing eddy effects in ocean climate models. Three decades of satellite altimetry observations allow a global assessment of…

Atmospheric and Oceanic Physics · Physics 2024-12-17 Chenyue Xie , An-Kang Gao , Xiyun Lu

We learn parameterized nonlinear elasticity on curved surfaces using a physics-informed neural network that enforces governing equations and boundary conditions directly through the loss function, enabling a single trained model to…

Biological Physics · Physics 2026-04-15 Yankang Liu , Ke Zhang , Maziar Raissi , Roya Zandi

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

Turbulent mixing is a physical process of fundamental importance in high-speed premixed flames. This mixing results in enhanced transport of temperature and chemical scalars, leading to potentially large changes in flame structure and…

Fluid Dynamics · Physics 2020-06-25 Ryan Darragh , Colin A. Z. Towery , Alexei Y. Poludnenko , Peter E. Hamlington

A filtered density function (FDF) model based on deep neural network (DNN), termed DNN-FDF, is introduced for large eddy simulation (LES) of turbulent flows involving conserved scalar transport. The primary objectives of this study are to…

Fluid Dynamics · Physics 2023-10-02 Shubhangi Bansude , Reza Sheikhi

This paper describes a study based on computational fluid dynamics (CFD) and deep neural networks that focusing on predicting the flow field in differently distorted U-shaped pipes. The main motivation of this work was to get an insight…

Machine Learning · Computer Science 2020-10-02 Gergely Hajgató , Bálint Gyires-Tóth , György Paál

Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

Operational weather forecasting models have advanced for decades on both the explicit numerical solvers and the empirical physical parameterization schemes. However, the involved high computational costs and uncertainties in these existing…

Atmospheric and Oceanic Physics · Physics 2024-05-13 Mengxuan Chen , Ziqi Yuan , Jinxiao Zhang , Runmin Dong , Haohuan Fu

Geophysical inversion attempts to estimate the distribution of physical properties in the Earth's interior from observations collected at or above the surface. Inverse problems are commonly posed as least-squares optimization problems in…

Geophysics · Physics 2019-05-22 Vladimir Puzyrev

NORi is a machine learning (ML) parameterization of ocean boundary layer turbulence that is physics-based and augmented with neural networks. NORi stands for neural ordinary differential equations (NODEs) Richardson number (Ri) closure. The…

Atmospheric and Oceanic Physics · Physics 2026-05-20 Xin Kai Lee , Ali Ramadhan , Andre Souza , Gregory LeClaire Wagner , Simone Silvestri , John Marshall , Raffaele Ferrari

Theoretical analyses of the hurricane boundary layer have traditionally relied on slab models, which provide a limited description of wind profiles. Literature on height-resolving methods is typically based on linear analyses, which may…

Fluid Dynamics · Physics 2025-03-18 Kishore R. Sathia , Marco G. Giometto

We propose the use of physics-informed neural networks for solving the shallow-water equations on the sphere in the meteorological context. Physics-informed neural networks are trained to satisfy the differential equations along with the…

Computational Physics · Physics 2024-09-19 Alex Bihlo , Roman O. Popovych

This study addresses the boundary artifacts in machine-learned (ML) parameterizations for ocean subgrid mesoscale momentum forcing, as identified in the online ML implementation from a previous study (Zhang et al., 2023). We focus on the…

Geophysics · Physics 2024-11-05 Cheng Zhang , Pavel Perezhogin , Alistair Adcroft , Laure Zanna

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

Fluid Dynamics · Physics 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

Reliable dynamic sea level forecasts are hindered by numerous sources of uncertainty on daily-to-seasonal timescales (1-180 days) due to atmospheric boundary conditions and internal ocean variability. Studies have demonstrated that certain…

Atmospheric and Oceanic Physics · Physics 2025-07-22 Andrew Brettin , Laure Zanna , Elizabeth A. Barnes

In this work, we present a novel data-based approach to turbulence modelling for Large Eddy Simulation (LES) by artificial neural networks. We define the exact closure terms including the discretization operators and generate training data…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Andrea D. Beck , David G. Flad , Claus-Dieter Munz
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