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Floods, tides and tsunamis are turbulent, yet conventional models are based upon depth averaging inviscid irrotational flow equations. We propose to change the base of such modelling to the Smagorinksi large eddy closure for turbulence in…

混沌动力学 · 物理学 2008-05-22 A. J. Roberts , D. J. Georgiev , D. V. Strunin

This paper presents a rigorous theoretical extension of the Smagorinsky model for turbulence simulations. The author builds on its fundamental framework, addressing known limitations, and making new mathematical advances. Specifically, this…

流体动力学 · 物理学 2024-11-19 Rômulo Damasclin Chaves dos Santos

In the field of Large Eddy Simulation, the Smagorinsky subgrid scale model (in some form) is the most commonly accepted and used subgrid scale model. The purpose of this paper is to address the main weakness of the Smagorinsky model, its…

数值分析 · 数学 2025-10-20 Tommy Kunhung Kim

The Smagorinsky model, unmodified, is often reported to severely overdiffuse flows. Previous estimates of the energy dissipation rate of the Smagorinsky model for shear flows reflect a blow up of model energy dissipation as Re increases.…

数值分析 · 数学 2016-01-26 William Layton

Turbulence models, such as the Smagorinsky model herein, are used to represent the energy lost from resolved to under-resolved scales due to the energy cascade (i.e. non-linearity). Analytic estimates of the energy dissipation rates of a…

数值分析 · 数学 2019-04-24 Ali Pakzad

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…

流体动力学 · 物理学 2014-08-18 Changping Yu

Standard eddy viscosity models, while robust, cannot represent backscatter and have severe difficulties with complex turbulence not at statistical equilibrium. This report gives a new derivation of eddy viscosity models from an equation for…

数值分析 · 数学 2015-03-05 Nan Jiang , William Layton

In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the non-linear eddy diffusion term using the Empirical Interpolation Method, and the velocity-pressure unknowns by an independent…

The classical Smagorinsky model's solution is an approximation to a (resolved) mean velocity. Since it is an eddy viscosity model, it cannot represent a flow of energy from unresolved fluctuations to the (resolved) mean velocity. This model…

数值分析 · 数学 2022-05-04 Farjana Siddiqua , Xihui Xie

A large eddy simulation (LES) with an extended Smagorinsky model has been carried to investigate numerically the fully developed turbulent flow of a shear thinning fluid (n=0.75) in a stationary pipe at a simulation's Reynolds number equals…

流体动力学 · 物理学 2020-06-01 Mohamed Abdi , Meryem Ould-Rouiss , Abdelkader Noureddine

This paper enhances the classic Smagorinsky model by introducing an innovative, adaptive dissipation term that adjusts dynamically with distance from boundary regions. This modification addresses a known limitation of the standard model…

流体动力学 · 物理学 2024-11-11 Rômulo Damasclin Chaves dos Santos , Jorge Henrique de Oliveira Sales

We propose a framework for developing wall models for large-eddy simulation that is able to capture pressure-gradient effects using multi-agent reinforcement learning. Within this framework, the distributed reinforcement learning agents…

流体动力学 · 物理学 2024-07-29 Di Zhou , H. Jane Bae

Large-eddy simulations (LES) with an appropriate subgrid-scale (SGS) model provide a powerful tool for investigating real-world turbulence. The Smagorinsky model, one of the simplest and most used SGS models, often shows an over-dissipative…

流体动力学 · 物理学 2026-03-30 Nobumitsu Yokoi , Pablo D. Mininni , Annick Pouquet , Duane Rosenberg , Raffaele Marino

This paper proposes a local dynamic model for large-eddy simulation (LES) without averaging in homogeneous directions. It is demonstrated that the widely-used dynamic Smagorinsky model (DSM) has a singular dynamic model constant if it is…

流体动力学 · 物理学 2022-07-08 Wybe Rozema , H. Jane Bae , Roel W. C. P. Verstappen

There is wide agreement that the accuracy of turbulence models suffer from their sensitivity with respect to physical input data, the uncertainties of user-elected parameters, as well as the model inadequacy. However, the application of…

数值分析 · 数学 2015-08-07 Hoang A. Tran , Clayton G. Webster , Guannan Zhang

Direct and large eddy simulations of hydrodynamic and hydromagnetic turbulence have been performed in an attempt to isolate artifacts from real and possibly asymptotic features in the energy spectra. It is shown that in a hydrodynamic…

天体物理学 · 物理学 2007-05-23 N. E. L. Haugen , A. Brandenburg

Large-eddy simulations of the turbulent flow in a lid-driven cubical cavity have been carried out at a Reynolds number of 12000 using spectral element methods. Two distinct subgrid-scales models, namely a dynamic Smagorinsky model and a…

流体动力学 · 物理学 2007-09-04 Roland Bouffanais , Michel O. Deville , Emmanuel Leriche

A new tuning-free subgrid-scale model, termed `locally-averaged scale-dependent dynamic' (LASDD) model, is developed and implemented in large-eddy simulations (LESs) of stable boundary layers. The new model dynamically computes the…

大气与海洋物理 · 物理学 2016-08-16 Sukanta Basu , Fernando Porté-Agel

Simulations of stochastically forced shear-flow turbulence in a shearing-periodic domain are used to study the spontaneous generation of large-scale flow patterns in the direction perpendicular to the plane of the shear. Based on an…

天体物理学 · 物理学 2009-01-09 Petri J. Käpylä , Dhrubaditya Mitra , Axel Brandenburg

We put forth a dynamic modeling framework for sub-grid parametrization of large eddy simulation of turbulent flows based upon the use of the approximate deconvolution procedure to compute the Smagorinsky constant self-adaptively from the…

流体动力学 · 物理学 2016-05-02 Romit Maulik , Omer San
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