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In applications such as free-space optical communication, a signal is often recovered after propagation through a turbulent medium. In this setting, it is common to assume that limited information is known about the turbulent medium, such…

光学 · 物理学 2025-10-13 Anjali Nair , Qin Li , Samuel N. Stechmann

Data assimilation is an iterative approach to the problem of estimating the state of a dynamical system using both current and past observations of the system together with a model for the system's time evolution. Rather than solving the…

数据分析、统计与概率 · 物理学 2007-05-23 Brian R. Hunt , Eric J. Kostelich , Istvan Szunyogh

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…

计算工程、金融与科学 · 计算机科学 2021-07-28 Gabriel Moldovan , Guillame Lehnasch , Laurent Cordier , Marcello Meldi

Data assimilation provides algorithms for widespread applications in various fields. It is of practical use to deal with a large amount of information in the complex system that is hard to estimate. Weather forecasting is one of the…

最优化与控制 · 数学 2023-03-23 Yihua Yang

Complex systems are often described with competing models. Such divergence of interpretation on the system may stem from model fidelity, mathematical simplicity, and more generally, our limited knowledge of the underlying processes.…

数值分析 · 数学 2017-07-21 Lun Yang , Akil Narayan , Peng Wang

Chaos is ubiquitous in physical systems. The associated sensitivity to initial conditions is a significant obstacle in forecasting the weather and other geophysical fluid flows. Data assimilation is the process whereby the uncertainty in…

数据分析、统计与概率 · 物理学 2020-11-03 Alberto Carrassi , Marc Bocquet , Jonathan Demaeyer , Colin Grudzien , Patrick Raanes , Stephane Vannitsem

Floods are one of the most common and devastating natural disasters worldwide. The contribution of remote sensing is important for reducing the impact of flooding both during the event itself and for improving hydrodynamic models by…

In this article, we provide a methodology to reconstruct high-Reynolds number turbulent mean-flows from few time-averaged measurements. A turbulent flow over a backward-facing step at Re = 28275 is considered to illustrate the potential of…

流体动力学 · 物理学 2020-09-23 Lucas Franceschini , Denis Sipp , Olivier Marquet

For oceanographic applications, probabilistic forecasts typically have to deal with i) high-dimensional complex models, and ii) very sparse spatial observations. In search-and-rescue operations at sea, for instance, the short-term…

应用统计 · 统计学 2023-02-15 Florian Beiser , Håvard Heitlo Holm , Jo Eidsvik

State estimation in multi-layer turbulent flow fields with only a single layer of partial observation remains a challenging yet practically important task. Applications include inferring the state of the deep ocean by exploiting surface…

流体动力学 · 物理学 2025-09-30 Zhongrui Wang , Nan Chen , Di Qi

This study presents a novel approach to applying data assimilation techniques for particle-based simulations using the Ensemble Kalman Filter. While data assimilation methods have been effectively applied to Eulerian simulations, their…

数值分析 · 数学 2024-12-10 Marius Duvillard , Loïc Giraldi , Olivier Le Maître

A novel strategy is proposed to improve the accuracy of state estimation and reconstruction from low-fidelity models and sparse data from sensors. This strategy combines ensemble Data Assimilation (DA) and Machine Learning (ML) tools,…

流体动力学 · 物理学 2025-01-31 Miguel M. Valero , Marcello Meldi

Complex nonlinear turbulent dynamical systems are ubiquitous in many areas. Recovering unobserved state variables is an important topic for the data assimilation of turbulent systems. In this article, an efficient continuous in time data…

流体动力学 · 物理学 2021-11-03 Nan Chen , Yuchen Li , Evelyn Lunasin

We investigate the combined use of a Kinect depth sensor and of a stochastic data assimilation method to recover free-surface flows. More specifically, we use a Weighted ensemble Kalman filter method to reconstruct the complete state of…

流体动力学 · 物理学 2016-01-05 Benoit Combès , Dominique Heitz , Anthony Guibert , Etienne Mémin

In this study, two classes of methods including statistical and variational data assimilation algorithms will be described. In statistical methods, the model state is updated sequentially based on the previous estimate. Variational methods,…

系统与控制 · 电气工程与系统科学 2021-10-25 Loc Luong

Data assimilation algorithms are used to estimate the states of a dynamical system using partial and noisy observations. The ensemble Kalman filter has become a popular data assimilation scheme due to its simplicity and robustness for a…

数值分析 · 数学 2021-06-23 Gottfried Hastermann , Maria Reinhardt , Rupert Klein , Sebastian Reich

We present a novel framework for assimilating planar PIV experimental data using a variational approach to enhance the predictions of the Spalart-Allmaras RANS turbulence model. Our method applies three-dimensional constraints to the…

流体动力学 · 物理学 2026-01-27 Uttam Cadambi Padmanaban , Bharathram Ganapathisubramani , Sean Symon

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

This study presents a methodology focusing on the use of computational model and experimental data fusion to improve the Spalart-Allmaras (SA) closure model for Reynolds-averaged Navier-Stokes solutions. In particular, our goal is to…

流体动力学 · 物理学 2024-07-26 Deepinder Jot Singh Aulakh , Xiang Yang , Romit Maulik

A Kalman filter based sequential estimator is presented in the present work. The estimator is integrated in the structure of segregated solvers for the analysis of incompressible flows. This technique provides an augmented flow state…

流体动力学 · 物理学 2017-02-22 Marcello Meldi , Alexandre Poux
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