21 citations · 35 across the 6 of their papers we have counts for
6 papers
A classification of mode-1 internal solitary waves in a three-layer fluid
Ricardo Barros, Alex Doak, Wooyoung Choi +1
We explore the bifurcation structure of mode-1 solitary waves in a three-layer fluid confined between two rigid boundaries. A recent study (Lamb, J. Fluid Mech. 2023, 962, A17) pro…
Large-amplitude periodic solutions to the steady Euler equations with piecewise constant vorticity
Alex Doak, Karsten Matthies, Jonathan Sewell +1
We consider steady solutions to the incompressible Euler equations in a two-dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity sep…
Stokes waves in rotational flows: internal stagnation and overhanging profiles
Alex Doak, Vera Mikyoung Hur, Jean-Marc Vanden-Broeck
Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution.…
Flow structure beneath periodic waves with constant vorticity under normal electric fields
Marcelo V. Flamarion, Tao Gao, Roberto Ribeiro-Jr +1
Waves with constant vorticity and electrohydrodynamics flows are two topics in fluid dynamics that have attracted much attention from scientists for both the mathematical challenge…
Large mode-2 internal solitary waves in three-layer flows
Alex Doak, Ricardo Barros, Paul A Milewski
In this paper, we investigate mode-2 solitary waves in a three-layer stratified flow model. Localised travelling wave solutions to both the fully nonlinear problem (Euler equations…
Nonlinear shallow-water waves with vertical odd viscosity
Alex Doak, Guido Baardink, Paul A Milewski +1
The breaking of detailed balance in fluids through Coriolis forces or odd-viscous stresses has profound effects on the dynamics of surface waves. Here we explore both weakly and st…