Differential Equations Seminar
Dr. Prince Chidyagwai, Loyola University Maryland
Location
Mathematics/Psychology : 401
Date & Time
April 25, 2016, 11:00 am – 12:00 pm
Description
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.
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