Recovery of the wave profile for irrotational periodic water waves from pressure measurements. (April 2015)

• Record Type: Journal Article
• Authors: Kogelbauer, Florian
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 219
• Page End: 224
• Publication Date: 2015-04
• Subjects: Irrotational water waves -- Pressure measurements -- Surface recovery; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.09.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Using a conformal hodograph transform and the governing equations for periodic traveling irrotational water waves, we obtain a relation between the bottom pressure and the free surface, expressed in terms of Fourier coefficients. This permits us to perform a formal asymptotic analysis that yields an approximate solution for the free surface provided the pressure at the flat bed is known.