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Differentiable physical simulators are proving to be valuable tools for developing data-driven models for computational fluid dynamics (CFD). In particular, these simulators enable end-to-end training of machine learning (ML) models…

Fluid Dynamics · Physics 2025-11-12 Hojin Kim , Varun Shankar , Venkatasubramanian Viswanathan , Romit Maulik

Turbulence is ubiquitous in engineering and science, yet direct simulation is prohibitively expensive. The Reynolds-averaged Navier-Stokes (RANS) equations provide savings exceeding ten orders of magnitude but introduce unclosed terms (the…

Fluid Dynamics · Physics 2026-05-27 Daniel Dehtyriov , Jonathan F. MacArt , Justin Sirignano

In the present paper a new data-driven model is proposed to close and increase accuracy of RANS equations. The divergence of the Reynolds Stress Tensor (RST) is obtained through a Neural Network (NN) whose architecture and input choice…

Fluid Dynamics · Physics 2022-10-19 Stefano Berrone , Davide Oberto

The no-slip boundary condition results in a velocity shear forming in fluid flow near a solid surface. This shear flow supports the turbulence characteristic of fluid flow near boundaries at Reynolds numbers above $\approx1000$ by making…

Fluid Dynamics · Physics 2018-08-28 Brian F. Farrell , Petros J. Ioannou , Marios-Andreas Nikolaidis

Data-driven turbulence modeling is a newly emerged research area in thermal hydraulics simulation of nuclear power plant (NPP). The most common CFD method used in NPP thermal hydraulics simulation is Reynolds-averaged Navier-Stokes (RANS)…

Fluid Dynamics · Physics 2020-05-04 Yangmo Zhu , Nam Dinh

Direct numerical simulations of fully-developed turbulent channel flows with wavy walls are undertaken. The wavy walls, skewed with respect to the mean flow direction, are introduced as a means of emulating a Spatial Stokes Layer (SSL)…

Fluid Dynamics · Physics 2018-03-05 Sacha Ghebali , Sergei I. Chernyshenko , Michael A. Leschziner

Turbulence modeling has the potential to revolutionize high-speed vehicle design by serving as a co-equal partner to costly and challenging ground and flight testing. However, the fundamental assumptions that make turbulence modeling such…

Fluid Dynamics · Physics 2023-04-18 Chitrarth Prasad , Datta V. Gaitonde

This work investigates the importance of verification and validation (V&V) to achieve predictive scale-resolving simulations (SRS) of turbulence, i.e., computations capable of resolving a fraction of the turbulent flow scales. Toward this…

Fluid Dynamics · Physics 2022-03-15 F. S. Pereira , F. F. Grinstein , D. M. Israel , L. Eca

Model extrapolation to unseen flow is one of the biggest challenges facing data-driven turbulence modeling, especially for models with high dimensional inputs that involve many flow features. In this study we review previous efforts on…

Fluid Dynamics · Physics 2020-01-16 Shirui Luo , Jiahuan Cui , Madhu Vellakal , Jian Liu , Enyi Jiang , Seid Koric , Volodymyr Kindratenko

The interaction between shear driven turbulence and stratification is a key process in a wide array of geophysical flows with spatio-temporal scales that span many orders of magnitude. A quick numerical model prediction based on external…

Fluid Dynamics · Physics 2021-08-18 M. A. Ahmed , H. J. Bae , A. F. Thompson , B. J. McKeon

Statistically stationary and homogeneous shear turbulence (SS-HST) is investigated by means of a new direct numerical simulation code, spectral in the two horizontal directions and compact-finite-differences in the direction of the shear.…

Fluid Dynamics · Physics 2016-03-03 Atsushi Sekimoto , Siwei Dong , Javier Jiménez

We demonstrate the efficacy of symbolic regression (SR) to probe models of particle physics Beyond the Standard Model (BSM), by considering the so-called Constrained Minimal Supersymmetric Standard Model (CMSSM). Like many incarnations of…

High Energy Physics - Phenomenology · Physics 2025-10-24 Shehu AbdusSalam , Steven Abel , Deaglan Bartlett , Miguel Crispim Romão

Predictive simulation of many complex flows requires moving beyond Reynolds-averaged Navier-Stokes (RANS) based models to representations resolving at least some scales of turbulence in at least some regions of the flow. To resolve…

Fluid Dynamics · Physics 2018-12-11 Sigfried Haering , Todd A. Oliver , Robert D. Moser

We compare results from a spectral model for non-stationary, inhomogeneous turbulence (Besnard et al., Theor. Comp. Fluid. Dyn., vol. 8, pp 1-35, 1996) with Direct Numerical Simulation (DNS) data of a shear-free mixing layer (SFML)…

Fluid Dynamics · Physics 2016-08-03 Andrew D. Bragg , Susan Kurien , Timothy T. Clark

This work aims to incorporate basic calibrations of Reynolds-averaged Navier-Stokes (RANS) models as part of machine learning (ML) frameworks. The ML frameworks considered are tensor-basis neural network (TBNN), physics-informed machine…

Fluid Dynamics · Physics 2023-11-15 Jiaqi J. L. Li , Yuanwei Bin , George P. Huang , Xiang I. A. Yang

Turbulent problems in industrial applications are predominantly solved using Reynolds Averaged Navier Stokes (RANS) turbulence models. The accuracy of the RANS models is limited due to closure assumptions that induce uncertainty into the…

Fluid Dynamics · Physics 2018-02-20 Atieh Alizadeh Moghaddam , Amir Sadaghiyani

This study proposes a newly-developed deep-learning-based method to generate turbulent inflow conditions for spatially-developing turbulent boundary layer (TBL) simulations. A combination of a transformer and a multiscale-enhanced…

Fluid Dynamics · Physics 2023-03-22 Mustafa Z. Yousif , Meng Zhang , Linqi Yu , Ricardo Vinuesa , HeeChang Lim

A machine-learned (ML) model is developed to enhance the accuracy of turbulence transport equations of Reynolds Averaged Navier Stokes (RANS) solver and applied for periodic hill test case, which involves complex flow regimes, such as…

Fluid Dynamics · Physics 2023-05-24 Shanti Bhushan , Greg W. Burgreen , Wesley Brewer , Ian D. Dettwiller

Computational fluid dynamics models based on Reynolds-averaged Navier--Stokes equations with turbulence closures still play important roles in engineering design and analysis. However, the development of turbulence models has been stagnant…

Fluid Dynamics · Physics 2019-10-04 Heng Xiao , Jin-Long Wu , Sylvain Laizet , Lian Duan

Streamwise roll and streak structures (RSS) are prominent features observed in both atmospheric and oceanic planetary boundary layers (PBL) as well as in laboratory scale Wall bounded shear flows. Despite their structural similarity across…

Fluid Dynamics · Physics 2026-01-07 Eojin Kim , Brian F. Farrell
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