Exact free surfaces in constant vorticity flows

DOI10.1017/jfm.2020.390zbMath1460.76138OpenAlexW3025760729MaRDI QIDQ5113242

Vera Mikyoung Hur, Miles H. Wheeler

Publication date: 3 June 2020

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

Full work available at URL: https://doi.org/10.1017/jfm.2020.390

zbMATH Keywords

surface gravity waves

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• Unnamed Item
• Steady water waves with a critical layer
• A new application of Crapper's exact solution to waves in constant vorticity flows
• Global bifurcation of steady gravity water waves with critical layers
• On the deep water wave motion
• An exact solution for progressive capillary waves of arbitrary amplitude
• Stokes Waves in a Constant Vorticity Flow
• Steady Deep-Water Waves on a Linear Shear Current
• Numerical solution of the exact equations for capillary–gravity waves
• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• Steady Gravity-Capillary Waves on Deep Water-II. Numerical Results for Finite Amplitude
• Capillary rollers and bores
• Exact large amplitude capillary waves on sheets of fluid
• Stokes waves with constant vorticity: I. Numerical computation
• Stokes waves with constant vorticity: folds, gaps and fluid bubbles
• Gravity perturbed Crapper waves
• Flow structure beneath rotational water waves with stagnation points