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We demonstrate how incorporating physics constraints into convolutional neural networks (CNNs) enables learning subgrid-scale (SGS) closures for stable and accurate large-eddy simulations (LES) in the small-data regime (i.e., when the…

Fluid Dynamics · Physics 2022-11-23 Yifei Guan , Adam Subel , Ashesh Chattopadhyay , Pedram Hassanzadeh

Large eddy simulation has been widely used to simulate turbulence at balanced computational cost and accuracy. Many Subgrid-Scale (SGS) models have been proposed over the years, where data-driven and machine learning-aided approaches set…

Fluid Dynamics · Physics 2026-05-13 Takeru Hashimoto , Takahiro Tsukahara , Ryo Araki

New large eddy simulation (LES) turbulence models for incompressible magnetohydrodynamics (MHD) derived from the variational multiscale (VMS) formulation for finite element simulations are introduced. The new models include the variational…

Computational Physics · Physics 2015-05-20 David Sondak , John N. Shadid , Assad A. Oberai , Roger P. Pawlowski , Eric C. Cyr , Tom M. Smith

A new method for the localization of the regions where small scale turbulent fluctuations are present in hypersonic flows is applied to the large-eddy simulation (LES) of a compressible turbulent jet with an initial Mach number equal to 5.…

Fluid Dynamics · Physics 2015-06-12 D. Tordella , M. Iovieno , S. Massaglia , A. Mignone

Large Eddy Simulation (LES) is a very useful tool when simulating turbulent flows if we are only interested in its "larger" scales. One of the possible ways to derive the LES equations is to apply a filter operator to the Navier-Stokes…

Analysis of PDEs · Mathematics 2017-03-14 José M. Rodríguez , Raquel Taboada-Vázquez

Traditional large eddy simulation is based on Kolmogrov's hypothesis, and done in the inertial range. In inertial range the LES model coefficient is scale-invariant. In many cases, such as computing in the boundary layer, the filter scale…

Fluid Dynamics · Physics 2014-08-18 Changping Yu

An adjoint-based variational optimal mixed model (VOMM) is proposed for subgrid-scale (SGS) closure in large-eddy simulation (LES) of turbulence. The stabilized adjoint LES equations are formulated by introducing a minimal regularization to…

Fluid Dynamics · Physics 2023-07-19 Zelong Yuan , Yunpeng Wang , Xiaoning Wang , Jianchun Wang

An ensemble Kalman filter (EnKF)-based mixed model (EnKF-MM) is proposed for the subgrid-scale (SGS) closure in the large-eddy simulation (LES) of turbulence. The model coefficients are determined through the EnKF-based data assimilation…

Fluid Dynamics · Physics 2023-08-16 Yunpeng Wang , Zelong Yuan , Jianchun Wang

Mesoscale eddies are of utmost importance in understanding ocean dynamics and the transport of heat, salt, and nutrients. Accurate representation of these eddies in ocean models is essential for improving model predictions. However,…

Fluid Dynamics · Physics 2024-06-07 Guosong Wang , Min Hou , Xinrong Wu , Xidong Wang , Zhigang Gao , Hongli Fu , Bo Dan , Chunjian Sun , Xiaoshuang Zhang

The problem of an accurate Eulerian-Lagrangian modeling of inertial particle dispersion in Large Eddy Simulation (LES) of turbulent wall-bounded flows is addressed. We run Direct Numerical Simulation (DNS) for turbulent channel flow at…

Fluid Dynamics · Physics 2009-11-13 C. Marchioli , M. V. Salvetti , A. Soldati

In this work, we present a novel data-based approach to turbulence modelling for Large Eddy Simulation (LES) by artificial neural networks. We define the exact closure terms including the discretization operators and generate training data…

Computational Engineering, Finance, and Science · Computer Science 2019-10-09 Andrea D. Beck , David G. Flad , Claus-Dieter Munz

Current design constraints have encouraged the studies of aeroacoustics fields around compressible jet flows. The present work addresses the numerical study of subgrid scale modeling for unsteady turbulent jet flows as a preliminary step…

Fluid Dynamics · Physics 2023-01-03 Carlos Junqueira-Junior , Sami Yamouni , Joao Luiz F. Azevedo , William Wolf

Simulating turbulence is critical for many societally important applications in aerospace engineering, environmental science, the energy industry, and biomedicine. Large eddy simulation (LES) has been widely used as an alternative to direct…

Fluid Dynamics · Physics 2023-12-13 Shengyu Chen , Tianshu Bao , Peyman Givi , Can Zheng , Xiaowei Jia

Subgrid-scale (SGS) models are critical in large-eddy simulations (LES) of turbulent flows. In this paper we conduct a comparative study on different SGS models, including one-k-equation, wall-adapting local eddy-viscosity (WALE), Sigma and…

Fluid Dynamics · Physics 2017-09-01 Liang Shi

We present a physics-constrained, data-driven subgrid-scale (SGS) stress closure for large-eddy simulation (LES) in the lattice Boltzmann method (LBM). Trained on filtered-downsampled (FD) data from LBM direct numerical simulation (DNS) of…

Fluid Dynamics · Physics 2026-03-18 Muhammad Idrees Khan , Sauro Succi , Hua-Dong Yao , Giacomo Falcucci

Deep learning is increasingly becoming a promising pathway to improving the accuracy of sub-grid scale (SGS) turbulence closure models for large eddy simulations (LES). We leverage the concept of differentiable turbulence, whereby an…

We adopt the stretched spiral vortex sub-grid model for large-eddy simulation (LES) of turbulent convection at extreme Rayleigh numbers. We simulate Rayleigh-B\'enard convection (RBC) for Rayleigh numbers ranging from $10^6$ to $10^15$ and…

Fluid Dynamics · Physics 2024-06-12 Roshan Samuel , Ravi Samtaney , Mahendra K. Verma

While direct numerical simulations (DNS) are the most accurate method for studying turbulence, their large computational cost restricts their use to idealized configurations and to Reynolds numbers well below those found in practical…

Fluid Dynamics · Physics 2025-12-09 Chang Hsin Chen , Arnab Moitro , Alexei Y. Poludnenko

The Large Eddy Simulation (LES) approach - solving numerically the large scales of a turbulent system and accounting for the small-scale influence through a model - is applied to nonlinear gyrokinetic systems that are driven by a number of…

Plasma Physics · Physics 2015-06-18 A. Bañón Navarro , B. Teaca , F. Jenko , G. W. Hammett , T. Happel , the ASDEX Upgrade Team

In this paper we employ renormalized viscosity and thermal diffusivity to construct a subgrid-scale model for large eddy simulation (LES) of turbulent thermal convection. For LES, we add $\nu_\mathrm{ren} \propto \Pi_u^{1/3}…

Fluid Dynamics · Physics 2018-10-31 Sumit Vashishtha , Mahendra K. Verma
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