The effect of barotropic instability on the nonlinear evolution of a Rossby-wave critical layer

DOI10.1017/S0022112089002569zbMath0685.76014WikidataQ59647549 ScholiaQ59647549MaRDI QIDQ4203915

Peter H. Haynes

Publication date: 1989

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

zbMATH Keywords

barotropic instabilityStewartson-Warn-Warn solutioncritical layer of a forced Rossby-wavehigh-resolution numerical model

Mathematics Subject Classification ID

Related Items (9)

A steady nonlinear and singular vortex Rossby wave within a rapidly rotating vortex. Part II: Application to geophysical vortices ⋮ Generalization of Baroclinic Instability and Rossby Wave Saturation Theory ⋮ A vorticity wave packet breaking within a rapidly rotating vortex. Part II: wave/mean flow interaction ⋮ Critical layer analysis of stuart vortices in a plane jet ⋮ Steady multipolar planar vortices with nonlinear critical layers ⋮ The effect of small-scale forcing on large-scale structures in two-dimensional flows ⋮ Nonlinear dynamics of forced baroclinic critical layers II ⋮ Nonlinear baroclinic equilibration at finite supercriticality ⋮ A steady nonlinear and singular vortex Rossby wave within a rapidly rotating vortex. Part I: Theory

Cites Work

• The numerical computation of the confluent hypergeometric function U(a,b,z)
• The Evolution of a Nonlinear Critical Level
• Nonlinear instability of a Rossby-wavecritical layer
• On the instability of sheared disturbances
• Do Rossby-wave critical layers absorb, reflect, or over-reflect?
• Critical Layers m Parallel Flows

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