Approximations of steady periodic water waves in flows with constant vorticity

TL;DR

This paper develops high-order approximation methods for steady periodic water waves with constant vorticity, accurately modeling wave profiles, velocity fields, and pressures beneath the waves.

Contribution

It introduces a novel high-order approximation approach for steady periodic water waves with constant vorticity, enhancing modeling precision.

Findings

Accurate wave profile approximations achieved

Velocity field and pressure beneath waves effectively modeled

High-order methods improve previous approximation accuracy

Abstract

We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat bed.