Cascades and transitions in turbulent flows
Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …
invariants across a huge range of scales, from where they are injected to where they are …
Recent developments in theories of inhomogeneous and anisotropic turbulence
Understanding inhomogeneous and anisotropic fluid flows requires mathematical and
computational tools that are tailored to such flows and distinct from methods used to …
computational tools that are tailored to such flows and distinct from methods used to …
Helicity dynamics, inverse, and bidirectional cascades in fluid and magnetohydrodynamic turbulence: a brief review
We briefly review helicity dynamics, inverse and bidirectional cascades in fluid and
magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a …
magnetohydrodynamic (MHD) turbulence, with an emphasis on the latter. The energy of a …
Fluctuation-induced transitions in anisotropic two-dimensional turbulence
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 …
scale flow structures such as large-scale vortices (LSVs) and unidirectional jets. We …
Turbulence statistics in a two-dimensional vortex condensate
Disentangling the evolution of a coherent mean-flow and turbulent fluctuations, interacting
through the nonlinearity of the Navier-Stokes equations, is a central issue in fluid mechanics …
through the nonlinearity of the Navier-Stokes equations, is a central issue in fluid mechanics …
Kinetic theory of two-dimensional point vortices and fluctuation–dissipation theorem
PH Chavanis - The European Physical Journal Plus, 2023 - Springer
We complete the kinetic theory of two-dimensional (2D) point vortices initiated in previous
works. We use a simpler and more physical formalism. We consider a system of 2D point …
works. We use a simpler and more physical formalism. We consider a system of 2D point …
Flow patterns and energy spectra in forced quasi-two-dimensional turbulence: effect of system size and dam** rate
HY Zhu, JH ** rates. It is …
Phase transitions in anisotropic turbulence
A van Kan - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
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 …
interactions between motions across a broad spectrum of length and time scales. While …
Two-dimensional turbulence with local interactions: statistics of the condensate
Two-dimensional turbulence self-organizes through a process of energy accumulation at
large scales, forming a coherent flow termed a condensate. We study the condensate in a …
large scales, forming a coherent flow termed a condensate. We study the condensate in a …