27 citations · 75 across the 10 of their papers we have counts for
10 papers
Phase Transitions in Anisotropic Turbulence
Adrian van Kan
Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear interactions between motions across a broad spectrum of length and time scales. While turb…
Fluctuation-Induced Transitions in Anisotropic Two-Dimensional Turbulence
Lichuan Xu, Adrian van Kan, Chang Liu +1
Two-dimensional (2D) turbulence features an inverse energy cascade that produces large-scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We investi…
From a vortex gas to a vortex crystal in instability-driven two-dimensional turbulence
A. van Kan, B. Favier, K. Julien +1
We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear d…
Collisions of localized patterns in a nonvariational Swift-Hohenberg equation
Mathi Raja, Adrian van Kan, Benjamin Foster +1
The cubic-quintic Swift-Hohenberg equation (SH35) has been proposed as an order parameter description of several convective systems with reflection symmetry in the layer midplane,…
Spontaneous suppression of inverse energy cascade in instability-driven 2D turbulence
Adrian van Kan, Benjamin Favier, Keith Julien +1
Instabilities of fluid flows often generate turbulence. Using extensive direct numerical simulations, we study two-dimensional turbulence driven by a wavenumber-localised instabili…
Bistability of the large-scale dynamics in quasi-two-dimensional turbulence
Xander M. de Wit, Adrian van Kan, Alexandros Alexakis
In many geophysical and astrophysical flows, suppression of fluctuations along one direction of the flow drives a quasi-2D upscale flux of kinetic energy, leading to the formation…
Estimating nonlinear stability from time series data
Adrian van Kan, Jannes Jegminat, Jonathan Donges
Basin stability (BS) is a measure of nonlinear stability in multi-stable dynamical systems. BS has previously been estimated using Monte-Carlo simulations, which requires the expli…
Energy cascades in rapidly rotating and stratified turbulence within elongated domains
Adrian van Kan, Alexandros Alexakis
We study forced, rapildy rotating and stably stratified turbulence in an elongated domain using an asymptotic expansion at simultaneously low Rossby number and large domai…
Geometric microcanonical theory of two-dimensional Truncated Euler flows
Adrian van Kan, Alexandros Alexakis, Marc Brachet
This paper presents a geometric microcanonical ensemble perspective on two-dimensional Truncated Euler flows, which contain a finite number of (Fourier) modes and conserve energy a…
Constrained basin stability for studying transient phenomena in dynamical systems
Adrian van Kan, Jannes Jegminat, Jonathan Donges +1
Transient dynamics are of large interest in many areas of science. Here, a generalization of basin stability (BS) is presented: constrained basin stability (CBS) that is sensitive…