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It is necessary to introduce an external forcing to induce turbulence in a stably stratified fluid. The Heisenberg eddy viscosity technique should in this case suffice to calculate a space-time averaged quantity like the global anisotropy…

Fluid Dynamics · Physics 2020-01-08 Jayanta K. Bhattacharjee , Abhishek Kumar , Mahendra K. Verma

Data-driven turbulence modeling studies have reached such a stage that the fundamental framework is basically settled, but several essential issues remain that strongly affect the performance, including accuracy, smoothness, and…

Fluid Dynamics · Physics 2022-09-21 Yuhui Yin , Yufei Zhang , Haixin Chen , Song Fu

The empirical finding with data from the Solar Dynamics Observatory (SDO) of positive (negative) horizontal Reynolds stress at the northern (southern) hemisphere for solar giant cells (Hathaway et al. 2013) is discussed for its consequences…

Solar and Stellar Astrophysics · Physics 2015-06-22 Guenther Ruediger , Manfred Kueker , Ilya Tereshin

Recently, the vertical shear instability (VSI) has become an attractive purely hydrodynamic candidate for the anomalous angular momentum transport required for weakly ionized accretion disks. In direct three-dimensional numerical…

Solar and Stellar Astrophysics · Physics 2017-03-08 Moritz H. R. Stoll , Giovanni Picogna , Wilhelm Kley

Knowledge of turbulent flows over non-flat surfaces is of major practical interest in diverse applications. Significant work continues to be reported in the roughness regime at high Reynolds numbers where the cumulative effect of surface…

Fluid Dynamics · Physics 2019-11-27 Balaji Jayaraman , Saadbin Khan

White paper: The aim of this work is to apply and analyze machine learning methods for uncertainty quantification of turbulence models. In this work we investigate the classical and data-driven variants of the eigenspace perturbation…

Fluid Dynamics · Physics 2022-11-04 Marcel Matha , Karsten Kucharczyk

We study the effect of large-scale spectral forcing on the scale-dependent anisotropy of the velocity field in direct numerical simulations of homogeneous incompressible turbulence. Two forcing methods are considered: the steady ABC single…

Fluid Dynamics · Physics 2018-02-14 Donato Vallefuoco , Aurore Naso , Fabien Godeferd

A model for the pseudo-turbulent Reynolds stress tensor in compressible flows through monodisperse particle clouds is developed based on data from particle resolved numerical simulations. This model extends previous models for the…

Fluid Dynamics · Physics 2025-05-09 Andreas Nygård Osnes , Magnus Vartdal

Turbulence in fluids is an ubiquitous phenomenon, characterized by spontaneous transition of a smooth, laminar flow to rapidly changing, chaotic dynamics. In 1883, Reynolds experimentally demonstrated that, in an initially laminar flow of…

Fluid Dynamics · Physics 2022-05-03 Rafail V. Abramov

The Reynolds-averaged Navier-Stokes (RANS) equations are widely used in turbulence applications. They require accurately modeling the anisotropic Reynolds stress tensor, for which traditional Reynolds stress closure models only yield…

Fluid Dynamics · Physics 2022-03-23 Haitz Sáez de Ocáriz Borde , David Sondak , Pavlos Protopapas

We present a model for the transport of anisotropic turbulence in an accretion disc. The model uses the Reynolds stress tensor approach in the mean field approximation. To study the role of convection in a protoplanetary disc, we combine…

Solar and Stellar Astrophysics · Physics 2023-11-06 E. P. Kurbatov , Ya. N. Pavlyuchenkov

(abridged) Context. Turbulent fluxes of angular momentum and heat due to rotationally affected convection play a key role in determining differential rotation of stars. Here we perform a systematic comparison between Cartesian and spherical…

Solar and Stellar Astrophysics · Physics 2011-07-07 P. J. Käpylä , M. J. Mantere , G. Guerrero , A. Brandenburg , P. Chatterjee

Turbulent flows of viscoplastic fluids at high Reynolds numbers have been investigated recently with direct numerical simulations (DNS) but experimental results have been limited. For this reason, we carry out an experimental study of fully…

Fluid Dynamics · Physics 2022-07-19 Rodrigo S. Mitishita , Jordan A. MacKenzie , Gwynn J. Elfring , Ian A. Frigaard

A model for homogeneous anisotropic incompressible turbulence is proposed. The model generalizes the GISS model of homogeneous isotropic turbulence; the generalization involves the solution of the GISS equations along a set of integration…

Astrophysics · Physics 2015-06-24 Kristof Petrovay

Numerical simulations are made for forced turbulence at a sequence of increasing values of Reynolds number, R, keeping fixed a strongly stable, volume-mean density stratification. At smaller values of R, the turbulent velocity is mainly…

Fluid Dynamics · Physics 2016-09-08 Jean-Philippe Laval , James C. McWilliams

Most existing theoretical studies of momentum transport focus on calculating the Reynolds stress based on quasilinear theory, without considering the \emph{nonlinear} momentum flux-$<\tilde{v}_r \tilde{n} \tilde{u}_{\|} >$. However, a…

Plasma Physics · Physics 2015-06-11 Lu Wang , Tiliang Wen , P. H. Diamond

Despite a cost-effective option in practical engineering, Reynolds-averaged Navier-Stokes simulations are facing the ever-growing demand for more accurate turbulence models. Recently, emerging machine learning techniques are making…

Fluid Dynamics · Physics 2021-05-04 Chao Jiang

The Reynolds stress in Holmboe instabilities at moderate Reynolds numbers is investigated using single wavelength simulations (SWS), multiple wavelength simulations (MWS), and laboratory experiments. The rightward and leftward propagating…

Fluid Dynamics · Physics 2021-03-24 Adam J. K. Yang , E. W. Tedford , J. Olsthoorn , A. Lefauve , G. A. Lawrence

The Reynolds-Averaged Navier-Stokes (RANS) approach remains a backbone for turbulence modeling due to its high cost-effectiveness. Its accuracy is largely based on a reliable Reynolds stress anisotropy tensor closure model. There has been…

By tracking the divergence of two initially close trajectories in phase space in an Eulerian approach to forced turbulence, the relation between the maximal Lyapunov exponent $\lambda$, and the Reynolds number $Re$ is measured using direct…

Fluid Dynamics · Physics 2018-01-31 A. Berera , R. D. J. G. Ho