Numerical studies of surface-tension effects in nonlinear Kelvin–Helmholtz and Rayleigh–Taylor instability

DOI10.1017/S0022112082001463zbMath0507.76036MaRDI QIDQ4745467

D. I. Pullin

Publication date: 1982

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

zbMATH Keywords

vortex-sheetfinite-amplitude normal modesinitial- valueKelvin-Helmholtz and Rayleigh- Taylor instabilitynonlinear motion of interface separating inviscid immiscible fluids of different densitiestypes of secondary instabilityvortex-like description

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Interfacial stability and instability in hydrodynamic stability (76E17) Hydrodynamic stability (76E99)

Related Items (35)

Boundary integral techniques for multi-connected domains ⋮ Removing the stiffness from interfacial flows with surface tension ⋮ Numerical simulations of inviscid capillary pinchoff ⋮ Spatial and temporal stability issues for interfacial flows with surface tension ⋮ Convergence of the boundary integral method for interfacial Stokes flow ⋮ Numerical simulations of the Rayleigh-Taylor instability ⋮ Simulation of Rayleigh-Taylor flows using vortex blobs ⋮ The initial value problem of a rising bubble in a two-dimensional vertical channel ⋮ Numerical algorithms for water waves with background flow over obstacles and topography ⋮ Simulation of vortex sheet roll-up by vortex methods ⋮ Standing waves in deep water: Their stability and extreme form ⋮ Simulation of single mode Rayleigh-Taylor instability by SPH method ⋮ Vortex blob methods applied to interfacial motion ⋮ Vortex simulations of the Kelvin-Helmholtz instability with surface tension in density-stratified flows ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. II ⋮ On the role of unsteadiness in impulsive-flow-driven shear instabilities: precursors of fragmentation ⋮ Rayleigh-Taylor instability of fluid layers ⋮ Three-dimensional Rayleigh-Taylor instability Part 1. Weakly nonlinear theory ⋮ Oscillations of drops in zero gravity with weak viscous effects ⋮ Dynamic generation of capillary waves ⋮ Convergence of a non-stiff boundary integral method for interfacial flows with surface tension ⋮ Computing interface motion in compressible gas dynamics ⋮ Nonlinear dynamics of non-uniform current-vortex sheets in magnetohydrodynamic flows ⋮ A hybrid finite-boundary element method for inviscid flows with free surface ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ The effects of density difference and surface tension on the development of Rayleigh-Taylor instability of an interface between fluid media ⋮ A Eulerian level set/vortex sheet method for two-phase interface dynamics ⋮ The Rayleigh–Taylor instability of viscous fluid layers ⋮ The long-time motion of vortex sheets with surface tension ⋮ Nonlinear oscillations of liquid shells in zero gravity ⋮ The nonlinear evolution of vortex sheets with surface tension in axisymmetric flows ⋮ Stability analysis of the generalized Rosenhead point vortex approximation ⋮ Quasi-periodic dynamics of desingularized vortex models ⋮ Branching behaviour of the Rayleigh–Taylor instability in linear viscoelastic fluids ⋮ Desingularization of periodic vortex sheet roll-up

Cites Work

• A Lagrangian method for calculating the dynamics of an incrompressible fluid with free surface
• On a vortex sheet approach to the numerical calculation of water waves
• Vortex simulations of the Rayleigh–Taylor instability
• A numerical study of the roll-up of a finite vortex sheet
• Numerical Study of Two Fluid Rayleigh-Taylor Instability
• Numerical Study of the Effect of Surface Tension on Interface Instability

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