Over-reflection and shear instability in a shallow-water model

DOI10.1017/S0022112092001411zbMath0825.76191MaRDI QIDQ4006831

Yoshi-Yuki Hayashi, Shin-Ichi Takehiro

Publication date: 27 September 1992

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

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (11)

Effect of depth discontinuity on interfacial stability of tangential-velocity discontinuity in shallow-water flow ⋮ Inviscid instability of a stably stratified compressible boundary layer on an inclined surface ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Over-reflection of acoustic waves by supersonic exponential boundary layer flows ⋮ On the instabilities of a potential vortex with a free surface ⋮ Frictional effect on stability of discontinuity interface in tangential velocity of a shallow-water flow ⋮ The stably stratified Taylor–Couette flow is always unstable except for solid-body rotation ⋮ Temporal instability modes of supersonic round jets ⋮ Shear flow instabilities in shallow-water magnetohydrodynamics ⋮ Kelvin-Helmholtz instability in a shallow-water flow with a finite width ⋮ On resonant over-reflection of waves by jets

Cites Work

• Instability and wave over-reflection in stably stratified shear flow
• General stability conditions for zonal flows in a one-layer model on the β-plane or the sphere
• A study of over-reflection in viscous Poiseuille flow
• Stable and unstable shear modes of rotating parallel flows in shallow water
• Physics of modes in a differentially rotating system - analysis of the shearing sheet
• On over-reflexion

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