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The potential for data-driven applications to scale-resolving simulations of turbulent flows is assessed herein. Multigrid sequential data assimilation algorithms have been used to calibrate solvers for Large Eddy Simulation for the…

An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

统计计算 · 统计学 2009-07-20 Jan Mandel , Jonathan D. Beezley

Because of physical assumptions and numerical approximations, low-order models are affected by uncertainties in the state and parameters, and by model biases. Model biases, also known as model errors or systematic errors, are difficult to…

统计方法学 · 统计学 2024-10-10 Andrea Nóvoa , Alberto Racca , Luca Magri

The ensemble Kalman filter is a well-known and celebrated data assimilation algorithm. It is of particular relevance as it used for high-dimensional problems, by updating an ensemble of particles through a sample mean and covariance…

数值分析 · 数学 2022-07-27 Neil K. Chada

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

机器人学 · 计算机科学 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

Nonlinear/non-Gaussian filtering has broad applications in many areas of life sciences where either the dynamic is nonlinear and/or the probability density function of uncertain state is non-Gaussian. In such problems, the accuracy of the…

统计计算 · 统计学 2012-08-02 Hatef Monajemi , Peter K. Kitanidis

Data assimilation is a technique for increasing the accuracy of simulations of solutions to partial differential equations by incorporating observable data into the solution as time evolves. Recently, a promising new algorithm for data…

偏微分方程分析 · 数学 2018-12-06 Adam Larios , Collin Victor

The traditional Kalman filter (KF) is widely applied in control systems, but it relies heavily on the accuracy of the system model and noise parameters, leading to potential performance degradation when facing inaccuracies. To address this…

系统与控制 · 电气工程与系统科学 2024-04-08 Jiaming Wang , Xinyu Geng , Jun Xu

The ensemble Kalman filter (EnKF) is a widely used methodology for state estimation in partial, noisily observed dynamical systems, and for parameter estimation in inverse problems. Despite its widespread use in the geophysical sciences,…

数值分析 · 数学 2016-09-21 Claudia Schillings , Andrew M. Stuart

The performance of ensemble-based data assimilation techniques that estimate the state of a dynamical system from partial observations depends crucially on the prescribed uncertainty of the model dynamics and of the observations. These are…

统计计算 · 统计学 2021-02-24 Tadeo Javier Cocucci , Manuel Pulido , Magdalena Lucini , Pierre Tandeo

The thermal management of cryogenic storage tanks requires advanced control strategies to minimize the boil-off losses produced by heat leakages and sloshing-enhanced heat and mass transfer. This work presents a data-assimilation approach…

流体动力学 · 物理学 2025-04-02 Pedro Afonso Marques , Samuel Ahizi , Miguel Alfonso Mendez

The ensemble Kalman filter (EnKF) is widely used to sample a probability density function (pdf) generated by a stochastic model conditioned by noisy data. This pdf can be either a joint posterior that describes the evolution of the state of…

数据分析、统计与概率 · 物理学 2016-08-08 Matthias Morzfeld , Daniel Hodyss

The interpretation of observations of atomic and molecular tracers in the galactic and extragalactic interstellar medium (ISM) requires comparisons with state-of-the-art astrophysical models to infer some physical conditions. Usually, ISM…

Through ensemble-based data assimilation (DA), we address one of the most notorious difficulties in phase-resolved ocean wave forecast, regarding the deviation of numerical solution from the true surface elevation due to the chaotic nature…

大气与海洋物理 · 物理学 2021-07-01 Guangyao Wang , Yulin Pan

This paper proposes a novel approach to predict epidemiological parameters by integrating new real-time signals from various sources of information, such as novel social media-based population density maps and Air Quality data. We implement…

机器学习 · 计算机科学 2023-07-04 Romain Molinas , César Quilodrán Casas , Rossella Arcucci , Ovidiu Şerban

Data assimilation procedures have been developed for thermospheric models using satellite density measurements as part of the EU Framework Package 7 ATMOP Project. Two models were studied; one a general circulation model, TIEGCM, and the…

空间物理 · 物理学 2015-05-15 Sophie A. Murray , Edmund M. Henley , David R. Jackson , Sean L. Bruinsma

In this study, we improve a neural network (NN) parameterization of deep convection in the global atmosphere model ARP-GEM. To take into account the sporadic nature of convection, we develop a NN parameterization that includes a triggering…

大气与海洋物理 · 物理学 2026-04-08 Hugo Germain , Blanka Balogh , Olivier Geoffroy , David Saint-Martin

We demonstrate that combining machine learning with data assimilation leads to a major improvement in phytoplankton short-range (1-5 day) forecasts for the North-West European Shelf (NWES) seas. We show that excess nitrate concentrations…

定量方法 · 定量生物学 2025-08-05 Deep S Banerjee , Jozef Skakala , David Ford

Continuous physical domains are important for scientific investigations of dynamical processes in the atmosphere. However, missing data arising from operational constraints and adverse environmental conditions pose significant challenges to…

大气与海洋物理 · 物理学 2025-09-03 Jiahui Hu , Wenjun Dong , Alan Z. Liu

A turbulent boundary layer is an essential flow case of fundamental and applied fluid mechanics. However, accurate measurements of turbulent boundary layer parameters (e.g., friction velocity $u_\tau$ and wall shear $\tau_w$), are…

流体动力学 · 物理学 2020-08-26 Zhao Pan , Yang Zhang , Jonas P. R. Gustavsson , Jean-Pierre Hickey , Louis N. Cattafesta
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