Water-wave profiles from pressure measurements: Extensions. (June 2017)

• Record Type: Journal Article
• Authors: Vasan, Vishal; Oliveras, Katie L.
• Is Part Of: Applied mathematics letters. Volume 68(2017:Jun.)
• Page Start: 175
• Page End: 180
• Publication Date: 2017-06
• Subjects: Water waves -- Pressure -- Recovery -- Measurement; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.01.017
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this letter, we present a method to reconstruct the surface elevation of an inviscid traveling gravity wave in two dimensions using the pressure measured at any depth. In order to achieve this reconstruction, we derive a map from the pressure at an arbitrary depth p ( x, z 0 ) to the horizontal velocity at the bottom of the fluid domain. Once this map is established, we use the result presented in Oliveras et al. (2012) to find the free-surface η . In addition to the fully nonlinear relationship, we present a "heuristic" asymptotic formula that does not involve the wave speed c .