Speaker: Filippo Remonato (NTNU/Sintef)
Title: Isogeometric numerical solutions of the Euler equations with affine vorticity
Abstract: I will present several solutions of the Euler equations with affine vorticity. After a very short introduction of the problem and its difficulties, we turn our attention to the numerical approach, where the combination of standard finite elements with B-splines basis functions, recently known as isogeometric analysis, is used to solve the Euler equations in their full free-boundary setting, without any reduction to a fixed domain. Periodic travelling waves solutions are found bifurcating from the line of trivial solutions in accordance with the theory, and we will look at several waves both small and large in amplitude, with particular attention to the internal critical layers structure.