On the recovery of traveling water waves with vorticity from the pressure at the bed

Vera Mikyoung Hur, Michael R. Livesay

Research output: Contribution to journalArticle

Abstract

We propose higher-order approximation formulae recovering the surface elevation from the pressure at the bed and the background shear flow, for small-amplitude Stokes and solitary water waves. They offer improvements over the pressure transfer function and the hydrostatic approximation. The formulae compare reasonably well with the asymptotic approximations of the exact relation between the pressure at the bed and the surface wave in the zero vorticity case, but they incorporate the effects of vorticity through the solutions of the Rayleigh equation. Several examples are discussed.

Original languageEnglish (US)
Pages (from-to)99-109
Number of pages11
JournalEuropean Journal of Mechanics, B/Fluids
Volume60
DOIs
StatePublished - Nov 1 2016

Keywords

  • Pressure
  • Recovery
  • Solitary
  • Tokes
  • Vorticity
  • Water waves

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)

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