Séance Séminaire

Séminaire ACSIOM

Well-posedness of a nonlinear shallow water model for oscillating water columns

We consider a particular wave energy converter, the so-called oscillating water column. Water waves governed by the one-dimensional nonlinear shallow water equations arrive from the offshore, enter a partially-closed chamber and the consequent variation of air volume activates a turbine. We reformulate the problem as a hyperbolic transmission problem related to the wave-structure interaction at the entrance of the chamber. A time-dependent air pressure inside the chamber is taken into account in the model. First, we impose conservation of the total energy to derive a transmission condition that closes the system. Then, we address its local well-posedness, which is obtained by constructing a Kreiss symmetrizer. This is a joint work with J. He and G. Vergara-Hermosilla.