Title : Nuclear core reactor simulations with low-regularity solution
Joint work with: Léandre Giret, Erell Jamelot, Félix Kpadonou.
Abstract: The behaviour of a nuclear core reactor can be modeled by the neutron diffusion equation. In the steady-state case, one must solve an eigenvalue problem. More precisely, one looks for the smallest eigenvalue of the problem, whose inverse is called the criticality factor. For the core simulations, the model commonly involves three or more intersecting, highly heterogeneous, material components. As a result, the solution to the diffusion equation is of low regularity. Our focus will be on the solution of the eigenvalue problem in this setting, possibly with the help of a domain decomposition method.
