Speaker: Cory Hauck, Oak Ridge National Laboratory

Title : Angular discretization methods for kinetic equations of radiation transport

Abstract:

The accurate simulation of radiation transport is a notoriously difficult problem that presents a variety of mathematical and computation challenges.  Among these are (i) the large phase space needed for a full kinetic description and (ii) the onset of multiscale phenomena due to interactions with a material medium.  In this talk, I will give an overview of these challenges, along with several modeling and numerical approaches to address them.  The focus here will be on angular discretization methods.  I will also present details on recent work in two areas.  First is the use of filtering techniques to improve the performance of spectral discretizations (in angle) of the kinetic transport equation.  Second is the design of a hybrid method which leverages reduced models in collisional regimes to improve the performance of full implicit solvers.