Super-resolution analysis via machine learning: a survey for fluid flows

K Fukami, K Fukagata, K Taira - Theoretical and Computational Fluid …, 2023 - Springer
This paper surveys machine-learning-based super-resolution reconstruction for vortical
flows. Super resolution aims to find the high-resolution flow fields from low-resolution data …

Super-resolution reconstruction of turbulent flows with machine learning

K Fukami, K Fukagata, K Taira - Journal of Fluid Mechanics, 2019 - cambridge.org
We use machine learning to perform super-resolution analysis of grossly under-resolved
turbulent flow field data to reconstruct the high-resolution flow field. Two machine learning …

Assessment of supervised machine learning methods for fluid flows

K Fukami, K Fukagata, K Taira - Theoretical and Computational Fluid …, 2020 - Springer
We apply supervised machine learning techniques to a number of regression problems in
fluid dynamics. Four machine learning architectures are examined in terms of their …

Zermelo's problem: optimal point-to-point navigation in 2D turbulent flows using reinforcement learning

L Biferale, F Bonaccorso, M Buzzicotti… - … Journal of Nonlinear …, 2019 - pubs.aip.org
To find the path that minimizes the time to navigate between two given points in a fluid flow
is known as Zermelo's problem. Here, we investigate it by using a Reinforcement Learning …

Reconstructing turbulent velocity and pressure fields from under-resolved noisy particle tracks using physics-informed neural networks

P Clark Di Leoni, K Agarwal, TA Zaki, C Meneveau… - Experiments in …, 2023 - Springer
Volume-resolving imaging techniques are rapidly advancing progress in experimental fluid
mechanics. However, reconstructing the full and structured Eulerian velocity and pressure …

Synchronization to big data: Nudging the Navier-Stokes equations for data assimilation of turbulent flows

P Clark Di Leoni, A Mazzino, L Biferale - Physical Review X, 2020 - APS
Nudging is an important data assimilation technique where partial field measurements are
used to control the evolution of a dynamical system and/or to reconstruct the entire phase …

Reconstruction of turbulent data with deep generative models for semantic inpainting from TURB-Rot database

M Buzzicotti, F Bonaccorso, PC Di Leoni, L Biferale - Physical Review Fluids, 2021 - APS
We study the applicability of tools developed by the computer vision community for feature
learning and semantic image inpainting to perform data reconstruction of fluid turbulence …

[HTML][HTML] Long short-term memory embedded nudging schemes for nonlinear data assimilation of geophysical flows

S Pawar, SE Ahmed, O San, A Rasheed, IM Navon - Physics of Fluids, 2020 - pubs.aip.org
Reduced rank nonlinear filters are increasingly utilized in data assimilation of geophysical
flows but often require a set of ensemble forward simulations to estimate forecast …

Dynamically learning the parameters of a chaotic system using partial observations

E Carlson, J Hudson, A Larios, VR Martinez… - arXiv preprint arXiv …, 2021 - arxiv.org
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically
learn the parameters of a chaotic system from partial observations. Under reasonable …

Parameter recovery for the 2 dimensional Navier--Stokes equations via continuous data assimilation

E Carlson, J Hudson, A Larios - SIAM Journal on Scientific Computing, 2020 - SIAM
We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi
(AOT) in the context of an unknown viscosity. We determine the large-time error between the …