Stokes waves with constant vorticity: I. Numerical computation

Periodic traveling waves are numerically computed in a constant vorticity flow subject to the force of gravity. The Stokes wave problem is formulated via a conformal mapping as a nonlinear pseudodifferential equation, involving a periodic Hilbert transform for a strip, and solved by the Newton‐GMRES...

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Bibliographic Details

Published in:	Studies in applied mathematics (Cambridge) Vol. 142; no. 2; pp. 162 - 189
Main Authors:	Dyachenko, Sergey A., Hur, Vera Mikyoung
Format:	Journal Article
Language:	English
Published:	Cambridge Blackwell Publishing Ltd 01.02.2019
Subjects:	Amplitudes Computational fluid dynamics Conformal mapping Hilbert transformation mathematical physics nonlinear waves Numerical analysis Rigid structures Rotating bodies Rotating disks Rotating fluids Traveling waves Vorticity water waves and fluid dynamics
ISSN:	0022-2526, 1467-9590
Online Access:	Get full text
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