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Reduced models describing the Lagrangian dynamics of the Velocity Gradient Tensor (VGT) in Homogeneous Isotropic Turbulence (HIT) are developed under the Physics-Informed Machine Learning (PIML) framework. We consider VGT at both Kolmogorov…

Fluid Dynamics · Physics 2021-08-17 Yifeng Tian , Daniel Livescu , Michael Chertkov

Finding an appropriate turbulence model for a given flow case usually calls for extensive experimentation with both models and numerical solution methods. This work presents the design and implementation of a flexible, programmable software…

Computational Engineering, Finance, and Science · Computer Science 2011-07-21 Mikael Mortensen , Hans Petter Langtangen , Garth N. Wells

We propose a methodology for generating time-dependent turbulent inflow data with the aid of machine learning (ML), which has a possibility to replace conventional driver simulations or synthetic turbulent inflow generators. As for the ML…

Fluid Dynamics · Physics 2019-06-19 Kai Fukami , Yusuke Nabae , Ken Kawai , Koji Fukagata

Machine learning (ML) has shown significant promise in studying complex geophysical dynamical systems, including turbulence and climate processes. Such systems often display sensitive dependence on initial conditions, reflected in positive…

Atmospheric and Oceanic Physics · Physics 2025-12-09 Zhewen Hou , Jiajin Sun , Subashree Venkatasubramanian , Peter Jin , Shuolin Li , Tian Zheng

Accelerating the solution of nonlinear partial differential equations (PDEs) while maintaining accuracy at coarse spatiotemporal resolution remains a key challenge in scientific computing. Physics-informed machine learning (ML) methods such…

Computational Physics · Physics 2025-05-20 Siwen Zhang , Xizeng Zhao , Zhengzhi Deng , Zhaoyuan Huang , Gang Tao , Nuo Xu , Zhouteng Ye

Data augmentation is a widely adopted technique for avoiding overfitting when training deep neural networks. However, this approach requires domain-specific knowledge and is often limited to a fixed set of hard-coded transformations.…

Machine Learning · Statistics 2021-08-19 Oguz Kaan Yuksel , Sebastian U. Stich , Martin Jaggi , Tatjana Chavdarova

Boundary layer turbulence, particularly the vertical fluxes of momentum, shapes the evolution of winds and currents and plays a critical role in weather, climate, and biogeochemical processes. In this work, a unified, data-driven…

Atmospheric and Oceanic Physics · Physics 2025-11-04 Renaud Falga , Sara Shamekh , Laure Zanna

The partially-averaged Navier-Stokes (PANS) equations are used to predict the variable-density Rayleigh-Taylor (RT) flow at Atwood number 0.5 and maximum Reynolds number $500$. This is a prototypical problem of material mixing featuring…

Extending gradient-type turbulence closures to turbulent premixed flames is challenging due to the significant influence of combustion heat release. We incorporate a deep neural network (DNN) into Reynolds-averaged Navier--Stokes (RANS)…

Fluid Dynamics · Physics 2025-06-18 Priyesh Kakka , Jonathan F. MacArt

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 models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

Reliably predictive simulation of complex flows requires a level of model sophistication and robustness exceeding the capabilities of current Reynolds-averaged Navier-Stokes (RANS) models. The necessary capability can often be provided by…

Fluid Dynamics · Physics 2022-01-20 Sigfried W. Haering , Todd A. Oliver , Robert D. Moser

Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

Machine Learning · Computer Science 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

This paper presents a neural network-based turbulence modeling approach for transonic flows based on the ensemble Kalman method. The approach adopts a tensor basis neural network for the Reynolds stress representation, with modified inputs…

Fluid Dynamics · Physics 2023-05-12 Yi Liu , Xin-Lei Zhang , Guowei He

The intrinsic high dimension of fluid dynamics is an inherent challenge to control of aerodynamic flows, and this is further complicated by a flow's nonlinear response to strong disturbances. Deep reinforcement learning, which takes…

Fluid Dynamics · Physics 2025-07-28 Zhecheng Liu , Diederik Beckers , Jeff D. Eldredge

Several machine learning frameworks for augmenting turbulence closure models have been recently proposed. However, the generalizability of an augmented turbulence model remains an open question. We investigate this question by…

Fluid Dynamics · Physics 2023-02-22 Ryley McConkey , Eugene Yee , Fue-Sang Lien

The problem of classifying turbulent environments from partial observation is key for some theoretical and applied fields, from engineering to earth observation and astrophysics, e.g. to precondition searching of optimal control policies in…

Fluid Dynamics · Physics 2022-10-19 Michele Buzzicotti , Fabio Bonaccorso

Turbulence models attempt to account for unresolved dynamics and diffusion in hydrodynamical simulations. We develop a common framework for two-equation Reynolds-Averaged Navier-Stokes (RANS) turbulence models, and we implement six models…

Astrophysics of Galaxies · Physics 2017-03-28 Matthew D. Goodson , Fabian Heitsch , Karl Eklund , Virginia A. Williams

Autonomous space systems operating in extreme thermal environments require accurate and efficient thermal modeling to support both pre-mission system design and onboard autonomy. For lunar rovers, large temperature gradients, radiative heat…

Machine Learning · Computer Science 2026-05-28 Samuel Weber , Zaki Hasnain , Souma Chowdhury

Turbulent fluctuations of the atmospheric refraction index, so-called optical turbulence, can significantly distort propagating laser beams. Therefore, modeling the strength of these fluctuations ($C_n^2$) is highly relevant for the…

Atmospheric and Oceanic Physics · Physics 2023-08-11 Maximilian Pierzyna , Rudolf Saathof , Sukanta Basu

Physics-Infused Machine Learning (PIML) architectures aim at integrating machine learning with computationally-efficient, low-fidelity (partial) physics models, leading to improved generalizability, extrapolability, and robustness to noise,…

Computational Engineering, Finance, and Science · Computer Science 2022-01-19 Rayhaan Iqbal , Amir Behjat , Revant Adlakha , Jesse Callanan , Mostafa Nouh , Souma Chowdhury
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