|Date: Friday, October 19, 2018
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: Moment closures in radiation transport and how to efficiently solve them
Abstract: Radiation transport computations require the numerical approximation of integro-differential equations in a high-dimensional phase space. We start off by contrasting different moment methods aimed at minimizing spurious Gibbs phenomenon oscillations. We then discuss high-order methods to solve the resulting moment systems, with a particular focus on asymptotic preserving properties, meaning that the diffusive nature of radiation transport in the optically dense regime is reproduced automatically by the numerical scheme, even when under-resolved. A particularly simple approach, based on staggered grids and exponential integrators, implemented in the free and open-source software StaRMAP, is shown in a radiation dose simulation as it arises in cancer therapy.
Speaker: Benjamin Seibold
Institution: Temple University
Event Organizer: Charles Doering email@example.com