Do irrotational water waves remain so?
joint work with Emmanuel Dormy, Proc. Roy. Soc. A (2026)
Using a Finite-Element based solver for the Navier-Stokes equations, we study the stability of the boundary layer lying at the bottom of the ocean in 2D. Our simulations show that a water waves of finite amplitude can trigger separation of vorticity in a singular manner: this phenomenon does not vanish with the viscosity.