4 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.…
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…