Speaker: Tonatiuh Sanchez-Vizuet
Affiliation: University of Arizona
Title: Some challenges of the computational study of magnetic equilibrium in fusion reactors
In magnetic confinement fusion devices, the equilibrium configuration of a plasma is determined by the balance between the hydrostatic pressure in the fluid and the magnetic forces generated by an array of external coils and the plasma itself. The location of the plasma is not known a priori and must be obtained as the solution to a free boundary problem involving a semi-linear elliptic equation and posed in free space.
This problem poses many challenges both from the computational and analytical point of view even if the domain occupied by the plasma is assumed to be known. In this talk we will focus on the computational side and present work in progress pertaining some of the computational challenges from the boundary value problem, then we will move to the free boundary setting and described a coupled integro-differential formulation that alleviates the unboundedness of the domain, finally, we will discuss strategies for dealing with the uncertainty associated to some parameters present in the model.
This work has been done in collaboration with Manuel Solano (University of Concepción, Chile), Antoine Cerfon (Courant Institute, NYU), and Howard Elman (University of Maryland, College Park).
Please contact the organizer for instructions
Wednesday, October 21, 2020 at 4:45pm to 5:45pm
Ayres Hall, 112
1403 Circle Drive, Knoxville, TN 37996