Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

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.

Files:


Speaker:  Benjamin Seibold
Institution:  Temple University

Event Organizer:   Charles Doering    doering@umich.edu

 

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