The effects of Prandtl number on the nonlinear dynamics of Kelvin–Helmholtz instability in two dimensions

DOI10.1017/JFM.2021.125zbMath1461.76175OpenAlexW3138584423MaRDI QIDQ5857825

Jeremy P. Parker, R. R. Kerswell, C. P. Caulfield

Publication date: 8 April 2021

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

Full work available at URL: https://doi.org/10.1017/jfm.2021.125

zbMATH Keywords

bifurcationstratified flowsnonlinear instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (2)

Multi-scale dynamics of Kelvin–Helmholtz instabilities. Part 1. Secondary instabilities and the dynamics of tubes and knots ⋮ Optimal perturbation growth on a breaking internal gravity wave

Cites Work

• On the nonlinear destabilization of stably stratified shear flow
• The stability of a shear layer in an unbounded heterogeneous inviscid fluid
• Note on a paper of John W. Miles
• The effect of prandtl number on the evolution and stability of Kelvin—Helmholtz billows
• The onset of turbulence in finite-amplitude Kelvin–Helmholtz billows
• Nonlinear stability of a stratified shear flow: a viscous critical layer
• The role of transverse secondary instabilities in the evolution of free shear layers
• The evolution of a quasi-steady critical layer in a stratified viscous shear layer
• The anatomy of the mixing transition in homogeneous and stratified free shear layers
• Nonlinear evolution of linear optimal perturbations of strongly stratified shear layers
• The viscous Holmboe instability for smooth shear and density profiles
• Instability in Geophysical Flows
• Kelvin–Helmholtz billows above Richardson number
• Evolution of an initially turbulent stratified shear layer
• On the stability of heterogeneous shear flows

This page was built for publication: The effects of Prandtl number on the nonlinear dynamics of Kelvin–Helmholtz instability in two dimensions