Speaker
Description
In this talk, I will introduce a shape optimization approach for magnetic confinement in stellarator type fusion reactors. I will begin by explaining some basic notions of magnetic confinement for fusion in order to introduce stellarators and exhibit key differences with the better known tokamak design. Afterward, I will introduce the key notion of harmonic fields and explain how this object allows us to consider magnetic confinement in stellarators using a shape optimization approach. In the rest of the talk, I will focus on two applications of this approach. First, I will introduce the shape optimization problem for the helicity of harmonic fields and present a numerical scheme to compute and optimize this quantity. Finally, I will explain how this shape optimization approach allows us to study Poincaré maps of harmonic fields with respect to the domain geometry.
