Invariant recurrent solutions embedded in a turbulent two-dimensional Kolmogorov flow

GJ Chandler, RR Kerswell - Journal of Fluid Mechanics, 2013 - cambridge.org
We consider long-time simulations of two-dimensional turbulence body forced by with the
purpose of extracting simple invariant sets or 'exact recurrent flows' embedded in this …

[HTML][HTML] Kolmogorov flow: seven decades of history

ED Fylladitakis - Journal of Applied Mathematics and Physics, 2018 - scirp.org
The Kolmogorov flow (k-flow) is generated by a stationary sinusoidal force that varies in
space. This flow is rather academic since generating such a periodic forcing in an …

Spatiotemporal dynamics in two-dimensional Kolmogorov flow over large domains

D Lucas, R Kerswell - Journal of fluid mechanics, 2014 - cambridge.org
Kolmogorov flow in two dimensions–the two-dimensional (2D) Navier–Stokes equations
with a sinusoidal body force–is considered over extended periodic domains to reveal …

[HTML][HTML] Is a direct numerical simulation (DNS) of Navier-Stokes equations with small enough grid spacing and time-step definitely reliable/correct?

S Qin, Y Yang, Y Huang, X Mei, L Wang… - Journal of Ocean …, 2024 - Elsevier
Turbulence is strongly associated with the vast majority of fluid flows in nature and industry.
Traditionally, results given by the direct numerical simulation (DNS) of Navier-Stokes (NS) …

Nonlinear dynamics of long-wave perturbations of the Kolmogorov flow for large Reynolds numbers

M Kalashnik, M Kurgansky - Ocean Dynamics, 2018 - Springer
The nonlinear dynamics of long-wave perturbations of the inviscid Kolmogorov flow, which
models periodically varying in the horizontal direction oceanic currents, is studied. To …

Forced-dissipative two-dimensional turbulence: A scaling regime controlled by drag

YK Tsang, WR Young - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We consider two-dimensional turbulence driven by a steady prescribed sinusoidal body
force working at an average rate ε. Energy dissipation is due mainly to drag, which damps all …

Stability of generalized Kolmogorov flow in a channel

F Romano - Physics of Fluids, 2021 - pubs.aip.org
The Kolmogorov flow is a paradigmatic model flow used to investigate the transition from
laminar to turbulent regimes in confined and, especially, in unbounded domains. It …

Nonuniversal velocity probability densities in two-dimensional turbulence: The effect of large-scale dissipation

YK Tsang - Physics of Fluids, 2010 - pubs.aip.org
We show that some statistical properties of forced two-dimensional turbulence have an
important sensitivity to the form of large-scale dissipation, which is required to damp the …

[PDF][PDF] Journal of Ocean Engineering and Science

S Qin, Y Yang, Y Huang, X Mei, L Wang, S Liao - 2024 - researchgate.net
abstract Turbulence is strongly associated with the vast majority of fluid flows in nature and
industry. Traditionally, results given by the direct numerical simulation (DNS) of Navier …

Simple invariant solutions embedded in 2D Kolmogorov turbulence

GJ Chandler, RR Kerswell - arXiv preprint arXiv:1207.4682, 2012 - arxiv.org
We consider long simulations of 2D Kolmogorov turbulence body-forced by $\sin4y\ex $ on
the torus $(x, y)\in [0, 2\pi]^ 2$ with the purpose of extracting simple invariant sets orexact …