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

被引：0

作者：

Hur, Vera Mikyoung ^{[1
]}

Livesay, Michael R. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS | 2016年 / 60卷

基金：

美国国家科学基金会;

关键词：

Water waves; Pressure; Recovery; Vorticity; Tokes; Solitary; STOKES CONJECTURE; EXISTENCE; SYMMETRY; PROFILES; SURFACE;

D O I：

10.1016/j.euromechflu.2016.08.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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. (C) 2016 Elsevier Masson SAS. All rights reserved.

引用

页码：99 / 109

页数：11

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