Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability

DOI10.1017/jfm.2023.60OpenAlexW4321377672MaRDI QIDQ5878760

Paul Billant, Eunok Yim, François Gallaire

Publication date: 22 February 2023

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2023.60

zbMATH Keywords

instabilitynonlinear dynamical systemsvortex flows

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Uses Software

• FreeFem++

Cites Work

• Instability of an axisymmetric vortex in a stably stratified, rotating environment
• Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows
• Hydrodynamic Instabilities
• Predicting the aftermath of vortex breakup in rotating flow
• On the non-linear mechanics of hydrodynamic stability
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 1. The basic behaviour in plane Poiseuille flow
• On the non-linear mechanics of wave disturbances in stable and unstable parallel flows Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow
• Nonlinear evolution of the centrifugal instability using a semilinear model
• Global mode interaction and pattern selection in the wake of a disk: a weakly nonlinear expansion
• Transient energy growth for the Lamb–Oseen vortex
• Inertial instability in rotating and stratified fluids: barotropic vortices
• Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
• Amplitude equations at the critical points of unstable dispersive physical systems
• Evolution of isolated vortices in a rotating fluid of finite depth
• Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows
• New development in freefem++
• Harmonics generation and the mechanics of saturation in flow over an open cavity: a second-order self-consistent description
• Global stability of base and mean flows: a general approach and its applications to cylinder and open cavity flows
• Kelvin–Helmholtz instability of finite amplitude
• Generalized Rayleigh criterion for non-axisymmetric centrifugal instabilities
• The growth of Taylor vortices in flow between rotating cylinders
• Analysis of the stability of axisymmetric jets
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weakly nonlinear versus semi-linear models of the nonlinear evolution of the centrifugal instability