A transition from Kelvin–Helmholtz instabilities to propagating wave instabilities

DOI10.1063/1.858368zbMath0763.76021OpenAlexW2016370995MaRDI QIDQ4030806

Hennie Kelder, Hector Teitelbaum, François Lott

Publication date: 1 April 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858368

zbMATH Keywords

linear stabilityhypergeometric equationneutral modesTaylor-Goldstein equationinviscid, Boussinesq fluidunbounded stably stratified shear layer

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17) Reaction effects in flows (76V05) Hydrodynamic stability (76E99)

Related Items (6)

Turbulence transition and internal wave generation in density stratified jets ⋮ Holmboe modes revisited ⋮ Instability of a stratified boundary layer and its coupling with internal gravity waves. Part 2. Coupling with internal gravity waves via topography ⋮ Inertia–gravity waves in inertially stable and unstable shear flows ⋮ Computational studies of inertia-gravity waves radiated from upper tropospheric jets ⋮ On resonant over-reflection of waves by jets

Cites Work

• Numerical treatment of ordinary differential equations by extrapolation methods
• Instability and wave over-reflection in stably stratified shear flow
• The stability of a shear layer in an unbounded heterogeneous inviscid fluid
• Note on a paper of John W. Miles
• On the stability of a heterogeneous shear layer subject to a body force
• Reflection properties of internal gravity waves incident upon a hyperbolic tangent shear layer
• Nonlinear stability of a stratified shear flow: a viscous critical layer
• Resonant over-reflection of internal gravity waves from a thin shear layer
• Critical-level behaviour and wave amplification of a gravity wave incident upon a shear layer
• On over-reflexion
• On resonant over-reflexion of internal gravity waves from a Helmholtz velocity profile
• The critical layer for internal gravity waves in a shear flow
• Reflexion and stability of waves in stably stratified fluids with shear flow: a numerical study
• On the stability of heterogeneous shear flows

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