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A probabilistic machine learning model is introduced to augment the $k-\omega\ SST$ turbulence model in order to improve the modelling of separated flows and the generalisability of learnt corrections. Increasingly, machine learning methods…

Computational Engineering, Finance, and Science · Computer Science 2023-01-24 Joel Ho , Nick Pepper , Tim Dodwell

This paper applies variational data assimilation to inundation problems governed by the shallow water equations with wetting and drying. The objective of the assimilation is to recover an unknown time-varying wave profile at an open ocean…

Fluid Dynamics · Physics 2017-06-07 S. W Funke , P. E Farrell , M. D. Piggott

Sea ice dynamics are crucial to the global climate system, yet traditional continuum (e.g., viscous-plastic) models often fail to represent the discrete floe interactions that dominate in the marginal ice zone. Lagrangian discrete element…

Computational Engineering, Finance, and Science · Computer Science 2026-02-23 Danyang Li , John Taylor , Quanling Deng

Aerodynamic prediction of glaze ice accretion on airfoils and wing is studied using the Reynolds-averaged Navier-Stokes method. Two separation fixed turbulence models are developed considering the nonequilibrium characteristics of…

Fluid Dynamics · Physics 2021-05-27 Haoran Li , Yufei Zhang , Haixin Chen

Generalisability and the consistency of the a posteriori results are the most critical points of view regarding data-driven turbulence models. This study presents a progressive improvement of turbulence models using simulation-driven…

Fluid Dynamics · Physics 2025-03-26 M. J. Rincón , A. Amarloo , M. Reclari , X. I. A. Yang , M. Abkar

A hybrid data assimilation algorithm is developed for complex dynamical systems with partial observations. The method starts with applying a spectral decomposition to the entire spatiotemporal fields, followed by creating a machine learning…

Computational Physics · Physics 2022-12-27 Changhong Mou , Leslie M. Smith , Nan Chen

As the severity and occurrence of flood events tend to intensify with climate change, the need for flood forecasting capability increases. In this regard, the Flood Detection, Alert and rapid Mapping (FloodDAM) project, funded by Space for…

Image and Video Processing · Electrical Eng. & Systems 2023-01-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Christophe Fatras , Peter Kettig , Gwendoline Blanchet , Santiago Pena Luque , Simon Baillarin

The FFT EnKF data assimilation method is proposed and applied to a stochastic cell simulation of an epidemic, based on the S-I-R spread model. The FFT EnKF combines spatial statistics and ensemble filtering methodologies into a localized…

Computation · Statistics 2010-03-10 Jan Mandel , Jonathan D. Beezley , Loren Cobb , Ashok Krishnamurthy

Accurate runoff forecasting is crucial for reservoir operators as it allows optimized water management, flood control and hydropower generation. Land surface models in mountainous regions depend on climatic inputs such as precipitation,…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Sami A. Malek , Alexandre M. Bayen , Steven D. Glaser

In this paper, we introduce a new, local formulation of the ensemble Kalman Filter approach for atmospheric data assimilation. Our scheme is based on the hypothesis that, when the Earth's surface is divided up into local regions of moderate…

In this paper we survey the various implementations of a new data assimilation (downscaling) algorithm based on spatial coarse mesh measurements. As a paradigm, we demonstrate the application of this algorithm to the 3D Leray-$\alpha$…

Analysis of PDEs · Mathematics 2017-02-07 Aseel Farhat , Evelyn Lunasin , Edriss S. Titi

In order to achieve a virtual certification process and robust designs for turbomachinery, the uncertainty bounds for Computational Fluid Dynamics have to be known. The formulation of turbulence closure models implies a major source of the…

Computational Engineering, Finance, and Science · Computer Science 2023-04-03 Marcel Matha , Karsten Kucharczyk , Christian Morsbach

A sequential estimator based on the Ensemble Kalman Filter for Data Assimilation of fluid flows is presented in this research work. The main feature of this estimator is that the Kalman filter update, which relies on the determination of…

Computational Engineering, Finance, and Science · Computer Science 2021-07-28 Gabriel Moldovan , Guillame Lehnasch , Laurent Cordier , Marcello Meldi

A formulation is developed to assimilate ocean-wave data into the Numerical Flow Analysis (NFA) code. NFA is a Cartesian-based implicit Large-Eddy Simulation (LES) code with Volume of Fluid (VOF) interface capturing. The sequential…

Atmospheric and Oceanic Physics · Physics 2014-10-03 Douglas G. Dommermuth , Christopher D. Lewis , Vu H. Tran , Miguel A. Valenciano

The feasibility of global ocean state estimation by sequential data assimilation is demonstrated. The model componenet of the assimilator is the GROB version of the MPIMET ocean circulation model HOPE. Assimilation uses the Fokker-Planck…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Konstantin P. Belyaev , Detlev Mueller

The ensemble Kalman filter (EnKF) (Evensen, 2009) has proven effective in quantifying uncertainty in a number of challenging dynamic, state estimation, or data assimilation, problems such as weather forecasting and ocean modeling. In these…

The Kalman filter (KF) is one of the most widely used tools for data assimilation and sequential estimation. In this work, we show that the state estimates from the KF in a standard linear dynamical system setting are equivalent to those…

Methodology · Statistics 2021-08-04 Maria Jahja , David C. Farrow , Roni Rosenfeld , Ryan J. Tibshirani

Data from experiments and direct simulations of turbulence have historically been used to calibrate simple engineering models such as those based on the Reynolds-averaged Navier--Stokes (RANS) equations. In the past few years, with the…

Fluid Dynamics · Physics 2019-01-30 Karthik Duraisamy , Gianluca Iaccarino , Heng Xiao

Ensemble methods such as the Ensemble Kalman Filter (EnKF) are widely used for data assimilation in large-scale geophysical applications, as for example in numerical weather prediction (NWP). There is a growing interest for physical models…

Applications · Statistics 2018-08-01 Sylvain Robert , Hans R. Künsch

Data assimilation aims to estimate the states of a dynamical system by optimally combining sparse and noisy observations of the physical system with uncertain forecasts produced by a computational model. The states of many dynamical systems…

Optimization and Control · Mathematics 2024-05-08 Amit N. Subrahmanya , Andrey A. Popov , Reid J. Gomillion , Adrian Sandu
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