A method to recover water-wave profiles from pressure measurements

Vishal Vasan, Katie Oliveras, Diane Marie Henderson, Bernard Deconinck

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

An operational formulation is proposed for reconstructing a time series of water surface displacement from waves using measurements of pressure. The approach is based on the fully nonlinear formulation for pressure below traveling-wave solutions of Euler's equations developed by Oliveras, Vasan, Deconinck and Henderson. Its validity is tested using experiments in which both the pressure and the surface displacement are measured. The experiments include a wave system that is Galilean invariant – cnoidal waves, and wave systems that are not – reflected cnoidal waves and wave groups. We find that since the proposed formulation is nonlinear, it reproduces the amplitude spectrum of the measured surface displacements better than the hydrostatic model and better than the linear model that takes into account the pressure response factor due to small amplitude waves (the transfer function). Both the proposed formula and the transfer function reconstruct the surface reasonably well, with the proposed formula's being about 5% more accurate.

Original languageEnglish (US)
Pages (from-to)25-35
Number of pages11
JournalWave Motion
Volume75
DOIs
StatePublished - Dec 1 2017

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water waves
pressure measurement
cnoidal waves
profiles
formulations
transfer functions
hydrostatics
surface water
traveling waves

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Vasan, Vishal ; Oliveras, Katie ; Henderson, Diane Marie ; Deconinck, Bernard. / A method to recover water-wave profiles from pressure measurements. In: Wave Motion. 2017 ; Vol. 75. pp. 25-35.
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A method to recover water-wave profiles from pressure measurements. / Vasan, Vishal; Oliveras, Katie; Henderson, Diane Marie; Deconinck, Bernard.

In: Wave Motion, Vol. 75, 01.12.2017, p. 25-35.

Research output: Contribution to journalArticle

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