[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 …

Coarse graining the state space of a turbulent flow using periodic orbits

G Yalnız, B Hof, NB Budanur - Physical Review Letters, 2021 - APS
We show that turbulent dynamics that arise in simulations of the three-dimensional Navier-
Stokes equations in a triply periodic domain under sinusoidal forcing can be described as …

Layer formation in horizontally forced stratified turbulence: connecting exact coherent structures to linear instabilities

D Lucas, CP Caulfield, RR Kerswell - Journal of Fluid Mechanics, 2017 - cambridge.org
We consider turbulence in a stratified 'Kolmogorov'flow, driven by horizontal shear in the
form of sinusoidal body forcing in the presence of an imposed background linear stable …

Pseudospectral bound and transition threshold for the 3D Kolmogorov flow

T Li, D Wei, Z Zhang - Communications on Pure and Applied …, 2020 - Wiley Online Library
In this paper, we study pseudospectral bounds for the linearized operator of the Navier‐
Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the …

Sustaining processes from recurrent flows in body-forced turbulence

D Lucas, R Kerswell - Journal of Fluid Mechanics, 2017 - cambridge.org
By extracting unstable invariant solutions directly from body-forced three-dimensional
turbulence, we study the dynamical processes at play when the forcing is large scale and …

[HTML][HTML] Disconnected Stationary Solutions in 3D Kolmogorov Flow and Their Relation to Chaotic Dynamics

NM Evstigneev, TV Karamysheva, NA Magnitskii… - Mathematics, 2024 - mdpi.com
This paper aims to investigate the nonlinear transition to turbulence in generalized 3D
Kolmogorov flow. The difference between this and classical Kolmogorov flow is that the …

Transitions of turbulent superstructures in generalized Kolmogorov flow

CC Lalescu, M Wilczek - Physical Review Research, 2021 - APS
Self-organized large-scale flow structures occur in a wide range of turbulent flows. Yet, their
emergence, dynamics, and interplay with small-scale turbulence are not well understood …

Numerical bifurcation analysis in 3D Kolmogorov flow problem

NM Evstigneev, NA Magnitskii, OI Ryabkov - Journal of Applied …, 2019 - elibrary.ru
A three dimensional Kolmogorov problem with extended forcing term for Navier-Stokes
equations is considered in the extended periodic domain. The Galerkin {Fourier method is …

Preferential concentration by mechanically driven turbulence in the two-fluid formalism

S Nasab, P Garaud - Physical Review Fluids, 2021 - APS
Preferential concentration is thought to play a key role in promoting particle growth, which is
crucial to processes such as warm rain formation in clouds, planet formation, and industrial …

Self-organisation processes in (magneto) hydrodynamic turbulence

MFL Linkmann - 2016 - era.ed.ac.uk
Self-organising processes occurring in isotropic turbulence and homogeneous
magnetohydrodynamic (MHD) turbulence are investigated in relation to the stability of …