On hexagonal gravity water waves

David P. Nicholls

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 4, 567-575

Abstract: In this paper we produce numerical, genuinely three-dimensional, hexagonal traveling wave solutions of the Euler equations for water waves using a surface integral formulation derived by Craig and Sulem. These calculations are free from the requirements of either long wavelength or two-dimensionality, both of which are crucial to the KdV and KP scaling regimes, and we produce hexagonal traveling waves of not only small but also moderate amplitude.

Keywords: Water waves; Hexagonal traveling waves (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:55:y:2001:i:4:p:567-575

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