Department of Mathematics

Applied Mathematics

  •  Terry Haut, Lawerence Livermore National Lab
  •  An Overview of High-Order Finite Elements for Thermal Radiative Transfer
  •  03/17/2023
  •  4:00 PM - 5:00 PM
  •  C304 Wells Hall
  •  Mark A Iwen ()

In this talk, I will give an overview of numerical methods for thermal radiative transfer (TRT), with an emphasis on the use of high-order finite elements for their solution. The TRT equations constitute a (6+1)-dimensional set of nonlinear PDEs that describe the interaction of a background material and a radiation field, and their solution is critical for modeling Inertial Confinement Fusion and astrophysics applications. Due to their stiff nature, they are typically discretized implicitly in time, and their solution often accounts for up to 90% of the runtime of multi-physics simulations. I will discuss some recently developed linear solvers, physics-informed preconditioners, and methods for preserving positivity that are used to make the solution to the TRT equations efficient and robust.



Department of Mathematics
Michigan State University
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East Lansing, MI 48824

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