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We present a unique method for solving for the Reynolds stress in turbulent canonical flows, based on the momentum balance for a control volume moving at the local mean velocity. A differential transform converts this momentum balance to a…

Fluid Dynamics · Physics 2017-08-17 T. -W. Lee

The precise simulation of turbulent flows holds immense significance across various scientific and engineering domains, including climate science, freshwater science, and energy-efficient manufacturing. Within the realm of simulating…

Fluid Dynamics · Physics 2024-12-31 Shengyu Chen , Peyman Givi , Can Zheng , Xiaowei Jia

Taylor-Couette flow -- the flow between two coaxial co- or counter-rotating cylinders -- is one of the paradigmatic systems in physics of fluids. The (dimensionless) control parameters are the Reynolds numbers of the inner and outer…

Fluid Dynamics · Physics 2019-04-02 Siegfried Grossmann , Detlef Lohse , Chao Sun

Predicting the dynamics of turbulent fluid flows has long been a central goal of science and engineering. Yet, even with modern computing technology, accurate simulation of all but the simplest turbulent flow-fields remains impossible: the…

Fluid Dynamics · Physics 2025-01-30 Nikita Gourianov , Peyman Givi , Dieter Jaksch , Stephen B. Pope

Intermittent turbulent-laminar patterns characterize the transition to turbulence in pipe, plane Couette and plane channel flows. The time evolution of turbulent-laminar bands in plane channel flow is studied via direct numerical…

Fluid Dynamics · Physics 2020-09-02 Sébastien Gomé , Laurette S. Tuckerman , Dwight Barkley

The Reynolds number provides a characterization of the transition to turbulent flow, with wide application in classical fluid dynamics. Identifying such a parameter in superfluid systems is challenging due to their fundamentally inviscid…

Quantum Gases · Physics 2015-04-22 M. T. Reeves , T. P. Billam , B. P. Anderson , A. S. Bradley

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 classical problem of the flow over a circular cylinder at Reynolds number 40 is considered using an accurate pseudo-spectral code. A new set of boundary conditions is proposed to improve the representation of the infinite flow domain,…

Fluid Dynamics · Physics 2013-10-25 Rémi Gautier , Damien Biau , Eric Lamballais

The transitional and well-developed regimes of turbulent shear flows exhibit a variety of remarkable scaling laws that are only now beginning to be systematically studied and understood. In the first part of this article, we summarize…

Fluid Dynamics · Physics 2017-01-04 Nigel Goldenfeld , Hong-Yan Shih

The rheology of 2D steady surface flow of cohesionless cylinders in a rotating drum is investigated through {\em Non Smooth Contact Dynamics} simulations. Profile of volume fraction, translational and angular velocity, rms velocity, strain…

Soft Condensed Matter · Physics 2007-05-23 Mathieu Renouf , Daniel Bonamy , Frederic Dubois , Pierre Alart

There are two components in this work that allow solutions of the turbulent channel problem: one is the Galilean-transformed Navier-Stokes equation which gives a theoretical expression for the Reynolds stress; and the second the maximum…

Fluid Dynamics · Physics 2019-07-24 T. -W. Lee

We present the synchronized unsteady wall pressure measurements performed at the circumference of a full scale 35 m circular chimney submitted to natural wind. The atmospheric turbulent boundary layer generates a turbulence intensity of 15…

Fluid Dynamics · Physics 2023-11-21 Yacine Manal , Pascal Hémon

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…

We investigate the large-scale circulation (LSC) of turbulent Rayleigh-B\'enard convection in a large box of aspect ratio $\Gamma =32$ for Rayleigh numbers up to $Ra=10^9$ and at a fixed Prandtl number $Pr=1$. A conditional averaging…

Turbulence modeling is a classical approach to address the multiscale nature of fluid turbulence. Instead of resolving all scales of motion, which is currently mathematically and numerically intractable, reduced models that capture the…

Fluid Dynamics · Physics 2018-12-10 Rui Fang , David Sondak , Pavlos Protopapas , Sauro Succi

Direct numerical simulation is performed to study compressible, viscous flow around a circular cylinder. The present study considers two-dimensional, shock-free continuum flow by varying the Reynolds number between 20 and 100 and the…

Fluid Dynamics · Physics 2017-05-26 Daniel Canuto , Kunihiko Taira

In many engineering and industrial applications, the investigation of rotating turbulent flow is of great interest. In rotor-stator cavities, the centrifugal and Coriolis forces have a strong influence on the turbulence by producing a…

A theoretical analysis is presented for turbulent flows, applicable for canonical (channel, boundary-layer and free jet) geometries. Momentum and energy balance for a control volume moving at the local mean velocity decouples the…

Fluid Dynamics · Physics 2021-02-24 T. -W. Lee

Disentangling the evolution of a coherent mean-flow and turbulent fluctuations, interacting through the non-linearity of the Navier-Stokes equations, is a central issue in fluid mechanics. It affects a wide range of flows, such as planetary…

Fluid Dynamics · Physics 2018-05-23 Anna Frishman , Corentin Herbert

The physical fidelity of turbulence models can benefit from a partial resolution of fluctuations, but doing so often comes with an increase in computational cost. To explore this trade-off in the context of wall-bounded flows, this paper…

Fluid Dynamics · Physics 2025-07-16 Tanner Ragan , Mark Warnecke , Samuel T. Stout , Perry L. Johnson