Differential Equations Seminar
Dr. Prince Chidyagwai, Loyola University Maryland
Monday, April 25, 2016 · 11 AM - 12 PM
Tttle: A Realizability Preserving Discontinuous Galerkin method for the $M_1$ Radiative Transfer Model
Abstract: The $M_1$ radiative transfer model plays an important role in describing radiative transport in physics and engineering applications. The $M_1$ model is a non-linear hyperbolic system that describes the distribution of radiative particles (e.g. photons) as they interact with matter. In this talk I will introduce a high order discontinuous Galerkin method for solving the $M_1$ model. I will discuss numerical challenges posed by the $M_1$ model and the modifications to the standard DG method that are necessary in order to guarantee stability and accuracy of the method. I will conclude with numerical experiments demonstrating the effectiveness of the DG method.
Abstract: The $M_1$ radiative transfer model plays an important role in describing radiative transport in physics and engineering applications. The $M_1$ model is a non-linear hyperbolic system that describes the distribution of radiative particles (e.g. photons) as they interact with matter. In this talk I will introduce a high order discontinuous Galerkin method for solving the $M_1$ model. I will discuss numerical challenges posed by the $M_1$ model and the modifications to the standard DG method that are necessary in order to guarantee stability and accuracy of the method. I will conclude with numerical experiments demonstrating the effectiveness of the DG method.