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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

In this work we introduce a computational framework for determining optimal closures of the eddy-viscosity type for Large-Eddy Simulations (LES) of a broad class of PDE models, such as the Navier-Stokes equation. This problem is cast in…

Fluid Dynamics · Physics 2020-03-12 Pritpal Matharu , Bartosz Protas

We present a framework for discussing LES equations with nonlinear dispersion. In this framework, we discuss the properties of the nonlinearly dispersive Navier-Stokes-alpha model of incompressible fluid turbulence --- also called the…

Chaotic Dynamics · Physics 2007-05-23 J. A. Domaradzki , Darryl D. Holm

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

Geophysics · Physics 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin

The principle of permanence of large eddies is one of the central pillars onto which our understanding of decaying homogeneous turbulence is built. The validity conditions of this principle have been thoroughly discussed for constant…

Fluid Dynamics · Physics 2019-04-15 O. Soulard , J Griffond , B. -J Gréa , G Viciconte

The dimensionality of turbulence in fluid layers determines their properties. We study electromagnetically driven flows in finite depth fluid layers and show that eddy viscosity, which appears as a result of three-dimensional motions, leads…

Fluid Dynamics · Physics 2010-12-27 M. Shats , D. Byrne , H. Xia

Recently, a new approach for the stabilization of the incompressible Navier-Stokes equations for higher Reynolds numbers was introduced based on the nonlinear differential filtering of solutions on every time step of a discrete scheme. In…

Numerical Analysis · Mathematics 2013-04-16 Maxim A. Olshanskii , Xin Xiong

Physics-based closures such as eddy-viscosity and backscattering models are widely used for large-eddy simulation (LES) of geophysical turbulence for applications including weather and climate prediction. However, these closures have…

Fluid Dynamics · Physics 2026-04-14 Yifei Guan , Pedram Hassanzadeh

Fluid elements deform in turbulence by stretching and folding. In this work, by projecting the material deformation tensor onto the largest stretching direction, the dynamics of folding is depicted through the evolution of the material…

Fluid Dynamics · Physics 2023-04-13 Yinghe Qi , Charles Meneveau , Greg Voth , Rui Ni

Suspensions of self-propelled particles, such as swimming micro-organisms, are known to undergo complex dynamics as a result of hydrodynamic interactions. This fluid dynamics video presents a numerical simulation of such a suspension, based…

Fluid Dynamics · Physics 2009-10-20 David Saintillan , Amir Alizadeh Pahlavan

We propose a method for multi-scale hybrid simulations of molecular dynamics (MD) and computational fluid dynamics (CFD). In the method, usual lattice-mesh based simulations are applied for CFD level, but each lattice is associated with a…

Soft Condensed Matter · Physics 2014-01-20 Shugo Yasuda , Ryoichi Yamamoto

Reliable prediction of turbulent flows is an important necessity across different fields of science and engineering. In Computational Fluid Dynamics (CFD) simulations, the most common type of models are eddy viscosity models that are…

Fluid Dynamics · Physics 2023-07-25 Minghan Chu , Weicheng Qian

The simulation of turbulent flows remains a central challenge, as even our most powerful computers cannot resolve the finest scales of motion in many flows of practical interest. As a result, the effects of unresolved scales on large eddies…

Fluid Dynamics · Physics 2025-12-30 Muhammad Idrees Khan , Sauro Succi , Giacomo Falcucci

In turbulence research and flow applications, turbulence models like RaNS (Reynolds averaged Navier-Stokes) models and LES (Large Eddy Simulation) are used. Both models filter the governing flow equations. Thus a scale separation approach…

Fluid Dynamics · Physics 2015-06-17 Christoph Glawe , Heiko Schmidt , Alan R. Kerstein , Rupert Klein

The elastohydrodynamics of slender bodies in a viscous fluid have long been the source of theoretical investigation, being pertinent to the microscale world of ciliates and flagellates as well as to biological and engineered active matter…

Fluid Dynamics · Physics 2021-04-07 Benjamin J. Walker , Eamonn A. Gaffney

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

We present a prognostic, one-equation model for eddy-mean flow interactions to parameterize the divergence of the Eliassen-Palm flux tensor (EPFT) that arises from thickness-weighted averaging (TWA) the hydrostatic Boussinesq equations. The…

Atmospheric and Oceanic Physics · Physics 2020-12-21 J. A. Saenz , T. D. Ringler

Approximate Deconvolution (AD) has emerged as a promising closure for Large-Eddy Simulation (LES) in complex multi-physics flows, where the conventional pure Dynamic Eddy-Viscosity (DEV) models experience issues. In this research, we…

Fluid Dynamics · Physics 2025-11-14 Ehsan Amani , Mohammad Bagher Molaei , Morteza Ghorbani

Turbulent flows exhibit large intermittent fluctuations from inertial to dissipative scales, characterized by multifractal statistics and breaking the statistical self-similarity. It has recently been proposed that the Navier-Stokes…

Fluid Dynamics · Physics 2025-07-08 B. Magacho , S. Thalabard , M. Buzzicotti , F. Bonaccorso , L Biferale , A. A. Mailybaev

This paper introduces a new approach to Large-Eddy Simulation (LES) where subgrid-scale (SGS) dissipation is applied proportionally to the degree of local spectral broadening, hence mitigated or deactivated in regions dominated by…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Jean-Baptiste Chapelier , Bono Wasistho , Carlo Scalo