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Deep learning provides a versatile suite of methods for extracting structured information from complex datasets, enabling deeper understanding of underlying fluid dynamic phenomena. The field of turbulence modeling, in particular, benefits…

Machine Learning · Computer Science 2025-07-31 Anuraj Maurya

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

The current revolution in the field of machine learning (ML) is leading to many interesting developments in a wide range of areas, including fluid mechanics. Here we review recent and emerging possibilities in the context of predictions,…

Fluid Dynamics · Physics 2023-10-09 Ricardo Vinuesa

With the growing number of wind farms over the last decades and the availability of large datasets, research in wind-farm flow modeling - one of the key components in optimizing the design and operation of wind farms - is shifting towards…

Fluid Dynamics · Physics 2023-04-06 Navid Zehtabiyan-Rezaie , Alexandros Iosifidis , Mahdi Abkar

In this work, we introduce an efficient generation procedure to produce synthetic multi-modal datasets of fluid simulations. The procedure can reproduce the dynamics of fluid flows and allows for exploring and learning various properties of…

Computational Physics · Physics 2024-03-11 Daniele Baieri , Donato Crisostomi , Stefano Esposito , Filippo Maggioli , Emanuele Rodolà

Accurate and efficient fluid flow models are essential for applications relating to many physical phenomena including geophysical, aerodynamic, and biological systems. While these flows may exhibit rich and multiscale dynamics, in many…

Fluid Dynamics · Physics 2024-08-27 Benjamin D. Shaffer , Jeremy R. Vorenberg , M. Ani Hsieh

Identifying the intrinsic coordinates or modes of the dynamical systems is essential to understand, analyze, and characterize the underlying dynamical behaviors of complex systems. For nonlinear dynamical systems, this presents a critical…

Chaotic Dynamics · Physics 2025-01-27 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

We present applications of modal analysis techniques to study, model, and control canonical aerodynamic flows. To illustrate how modal analysis techniques can provide physical insights in a complementary manner, we selected four fundamental…

A spacetime outlook on Computational Fluid Dynamics is advocated: models in fluid mechanics often have the spacetime correlation property, which should be inherited and preserved in the corresponding numerical algorithms. Starting from the…

Fluid Dynamics · Physics 2020-09-09 Jiequan Li

We study the applicability of a Deep Neural Network (DNN) approach to simulate one-dimensional non-relativistic fluid dynamics. Numerical fluid dynamical calculations are used to generate training data-sets corresponding to a broad range of…

Computational Physics · Physics 2021-06-08 Kirill Taradiy , Kai Zhou , Jan Steinheimer , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Horst Stoecker

The design of flow control systems remains a challenge due to the nonlinear nature of the equations that govern fluid flow. However, recent advances in computational fluid dynamics (CFD) have enabled the simulation of complex fluid flows…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jeremy Morton , Freddie D. Witherden , Antony Jameson , Mykel J. Kochenderfer

Machine Learning (ML) is becoming increasingly popular in fluid dynamics. Powerful ML algorithms such as neural networks or ensemble methods are notoriously difficult to interpret. Here, we introduce the novel Shapley Additive Explanations…

Fluid Dynamics · Physics 2022-05-20 Martin Lellep , Jonathan Prexl , Bruno Eckhardt , Moritz Linkmann

We present simulations of the real time dynamics of a fluid in the vicinity of a critical endpoint in the phase diagram. The relevant hydrodynamic theory is known as model H, and it is expected to describe the long-distance dynamics of QCD…

Nuclear Theory · Physics 2025-09-03 Chandrodoy Chattopadhyay , Josh Ott , Thomas Schaefer , Vladimir Skokov

The study of plasma physics under conditions of extreme temperatures, densities and electromagnetic field strengths is significant for our understanding of astrophysics, nuclear fusion and fundamental physics. These extreme physical systems…

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

Huge data advent in high-performance computing (HPC) applications such as fluid flow simulations usually hinders the interactive processing and exploration of simulation results. Such an interactive data exploration not only allows…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Nevena Perović , Jérôme Frisch , Ralf-Peter Mundani , Ernst Rank

Computational fluid dynamics is both a thriving research field and a key tool for advanced industry applications. The central challenge is to simulate turbulent flows in complex geometries, a compute-power intensive task due to the large…

This paper introduces a novel data driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions about the underlying physics. This framework is illustrated…

Fluid Dynamics · Physics 2026-04-15 Brandon Choi , Matteo Ugliotti , Mateo Reynoso , Daniel R. Gurevich , Roman O. Grigoriev

A network community-based reduced-order model is developed to capture key interactions amongst coherent structures in high-dimensional unsteady vortical flows. The present approach is data-inspired and founded on network-theoretic…

Fluid Dynamics · Physics 2018-06-20 Muralikrishnan Gopalakrishnan Meena , Aditya G. Nair , Kunihiko Taira

We are interested in the computational study of shock hydrodynamics, i.e. problems involving compressible solids, liquids, and gases that undergo large deformation. These problems are dynamic and nonlinear and can exhibit complex…

Computational Physics · Physics 2024-06-25 C. F. Jekel , D. M. Sterbentz , T. M. Stitt , P. Mocz , R. N. Rieben , D. A. White , J. L. Belof