Stokes waves with constant vorticity: II. folds, gaps and fluid bubbles

28 Feb 2019 Dyachenko Sergey A. Hur Vera Mikyoung

The Stokes wave problem in a constant vorticity flow is formulated, by virtue of conformal mapping techniques, as a nonlinear pseudodifferential equation, involving the periodic Hilbert transform, which becomes the Babenko equation in the irrotational flow setting. The associated linearized operator is self-adjoint, whereby the modified Babenko equation is efficiently solved by means of the Newton-Conjugate Gradient method... (read more)

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  • FLUID DYNAMICS
  • COMPUTATIONAL PHYSICS