Instability and filamentation of finite-amplitude waves on vortex layers of finite thickness

DOI10.1017/S0022112089003149zbMath0681.76020OpenAlexW2051542891MaRDI QIDQ4730905

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1017/s0022112089003149

zbMATH Keywords

eigenfunctionsfinite thicknesssubharmonic perturbationsplane rigid surfacefinite amplitude wavevortex equilibriumsteady non-uniform flowinstability of finite-amplitude waves on uniform vortex layers ofinstability of finite-amplitude waves on uniform vortex layers of finite thicknessnonlinear-cascade mechanismspectral stability calculationsweakly nonlinear analysis of vorticity interface perturbations

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics
• Nonlinear Waves in a Shear Flow with a Vorticity Discontinuity
• Dynamics of vorticity fronts
• Coalescence of stretching vortices
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• The Propagation of Finite-Amplitude Waves in a Model Boundary Layer
• Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities
• The repeated filamentation of two-dimensional vorticity interfaces
• The nonlinear behaviour of a constant vorticity layer at a wall
• Instabilities of finite-amplitude water waves
• The Evolution in Space and Time of Nonlinear Waves in Parallel Shear Flows
• The response of Hill's spherical vortex to a small axisymmetric disturbance
• Phase Space Hydrodynamics of Equivalent Nonlinear Systems: Experimental and Computational Observations
• Contour dynamics for the Euler equations in two dimensions

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