Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability

DOI10.1016/j.jcp.2010.11.017zbMath1391.76147OpenAlexW1976488637WikidataQ59855410 ScholiaQ59855410MaRDI QIDQ630389

Lawrence K. Forbes, Michael J. Chen

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.017

zbMATH Keywords

Kelvin-Helmholtz instabilityADI methodsspectral methodsviscous fluidsinviscid fluidsroll-upvorticity-streamfunction

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items

A line vortex in a two-fluid system ⋮ Regularized Euler-\(\alpha \) motion of an infinite array of vortex sheets ⋮ Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids ⋮ A spectral method for Faraday waves in rectangular tanks ⋮ Waves in two-layer shear flow for viscous and inviscid fluids ⋮ A numerical method for two-phase flow with its application to the Kelvin-Helmholtz instability problem ⋮ THE FORMATION OF LARGE-AMPLITUDE FINGERS IN ATMOSPHERIC VORTICES ⋮ INVISCID AND VISCOUS MODELS OF AXISYMMETRIC FLUID JETS OR PLUMES ⋮ The unstable temporal development of axi-symmetric jets of incompressible fluid ⋮ Instability of a dense seepage layer on a sloping boundary ⋮ KELVIN–HELMHOLTZ CREEPING FLOW AT THE INTERFACE BETWEEN TWO VISCOUS FLUIDS ⋮ Complex singularity analysis for vortex layer flows

Uses Software

• Matlab
• lgwt

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Rayleigh-Taylor instability for inviscid and viscous fluids
• Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow
• Desingularization of periodic vortex sheet roll-up
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the connection between thin vortex layers and vortex sheets
• The deformation of steep surface waves on water - I. A numerical method of computation
• The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
• Effect of variation in density on the stability of superposed streams of Fluid
• A Study of Singularity Formation in the Kelvin–Helmholtz Instability with Surface Tension
• Vortex Dynamics
• The long-time motion of vortex sheets with surface tension

This page was built for publication: Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability