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A new simple Lagrangian method with favorable stability and efficiency properties for computing general plane curve evolutions is presented. The method is based on the flowing finite volume discretization of the intrinsic partial…

Numerical Analysis · Mathematics 2009-04-09 Karol Mikula , Daniel Sevcovic , Martin Balazovjech

We explore the unsupervised clustering technique introduced in [25] to identify viscous/turbulent from inviscid regions in incompressible flows. The separation of regions allows solving the Navier-Stokes equations including Large Eddy…

Fluid Dynamics · Physics 2024-03-11 Kheir-Eddine Otmani , Andrés Mateo-Gabín , Gonzalo Rubio , Esteban Ferrer

Recent years have seen many successful applications of machine learning (ML) to facilitate fluid dynamic computations. As simulations grow, generating new training datasets for traditional offline learning creates I/O and storage…

Computational fluid dynamics (CFD)-driven machine learning frameworks based on symbolic regression offer a promising pathway for turbulence model discovery, but are often hindered by numerical instability, residual stagnation, and…

Fluid Dynamics · Physics 2026-05-13 Talib Ansari , Priyank H. Mehta , Harshal D. Akolekar

This paper develops a new time series clustering procedure allowing for heteroskedasticity, non-normality and model's non-linearity. At this aim, we follow a fuzzy approach. Specifically, considering a Dynamic Conditional Score (DCS) model,…

Methodology · Statistics 2021-04-02 Roy Cerqueti , Massimiliano Giacalone , Raffaele Mattera

A parallel dynamic overset framework has been developed for the curvilinear immersed boundary (overset-CURVIB) method to enable tackling a wide range of challenging flow problems. The dynamic overset grids are used to locally increase the…

Computational Engineering, Finance, and Science · Computer Science 2019-10-22 Mohammadali Hedayat , Iman Borazjani

Deep learning has shown promise in improving computing efficiency while ensuring modeling accuracy in fluid-structure interaction (FSI) analysis. However, its current capabilities are limited when it comes to constructing multi-object…

Fluid Dynamics · Physics 2025-04-25 Yanfang Lyu , Yunyang Zhang , Zhiqiang Gong , Xiao Kang , Wen Yao , Yongmao Pei

Lagrangian methods continue to stand at the forefront of the analysis of time-dependent dynamical systems. Most Lagrangian methods have criteria that must be fulfilled by trajectories as they are followed throughout a given finite flow…

Fluid Dynamics · Physics 2024-03-18 Jason Atnip , Gary Froyland , Péter Koltai

Identification of coherent structures is an essential step to describe and model turbulence generation mechanisms in wall-bounded flows. To this end we present a clustering method based on Latent Dirichlet Allocation (LDA), a generative…

Fluid Dynamics · Physics 2021-07-07 Mohamed Frihat , Bérengère Podvin , Lionel Mathelin , Yann Fraigneau , François Yvon

We propose a universal method for data-driven modeling of complex nonlinear dynamics from time-resolved snapshot data without prior knowledge. Complex nonlinear dynamics govern many fields of science and engineering. Data-driven dynamic…

Data Analysis, Statistics and Probability · Physics 2020-11-02 Daniel Fernex , Bernd R. Noack , Richard Semaan

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

Fluid Dynamics · Physics 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

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

Previous dominant methods for scene flow estimation focus mainly on input from two consecutive frames, neglecting valuable information in the temporal domain. While recent trends shift towards multi-frame reasoning, they suffer from rapidly…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Qingwen Zhang , Xiaomeng Zhu , Yushan Zhang , Yixi Cai , Olov Andersson , Patric Jensfelt

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

Numerical Analysis · Mathematics 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

Developing reduced-order models applicable to fluid-dynamics problems involving complex geometries and different flow conditions remains a critical challenge for turbulent flows. This study introduces VIVALDy, a novel machine-learning…

Deep learning techniques for improving fluid flow modelling have gained significant attention in recent years. Advanced deep learning techniques achieve great progress in rapidly predicting fluid flows without prior knowledge of the…

Atmospheric and Oceanic Physics · Physics 2020-04-22 M. Cheng , F. Fang , C. C. Pain , I. M. Navon

We propose a novel scene flow estimation approach to capture and infer 3D motions from point clouds. Estimating 3D motions for point clouds is challenging, since a point cloud is unordered and its density is significantly non-uniform. Such…

Computer Vision and Pattern Recognition · Computer Science 2022-03-10 Bing Li , Cheng Zheng , Silvio Giancola , Bernard Ghanem

In this study we put forth a modular approach for distilling hidden flow physics in discrete and sparse observations. To address functional expressiblity, a key limitation of the black-box machine learning methods, we have exploited the use…

Computational Physics · Physics 2020-02-19 Harsha Vaddireddy , Adil Rasheed , Anne E Staples , Omer San

Computational Fluid Dynamics (CFD) simulations are used for many air flow simulations including road vehicle aerodynamics. Numerical diffusion occurs when local flow direction is not aligned with the mesh lines and when there is a non-zero…

Fluid Dynamics · Physics 2025-12-29 Alok Warey , Taeyoung Han , Shailendra Kaushik

We introduce conditional flow matching for imputation (CFMI), a new general-purpose method to impute missing data. The method combines continuous normalising flows, flow-matching, and shared conditional modelling to deal with…

Machine Learning · Computer Science 2025-06-12 Vaidotas Simkus , Michael U. Gutmann
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