Title: Application of Euler Equations to Model Astrophysical Flows
Speaker: Eirik Endeve (Oak Ridge National Laboratory)
Speaker's URL: https://www.ornl.gov/staff-profile/eirik-endeve
Abstract: The Euler equations are a key component of multi-physics models of many astrophysical systems, including core-collapse supernovae and binary neutron star mergers. While the Euler equations alone do not provide a realistic description of these systems, they can sometimes be used to study some of their aspects that are intractable with full-physics models. The study of the so-called standing accretion shock instability (SASI), which operates in a stalled supernova shock wave, and was discovered using idealized models based on the Euler equations, is a prime example. In this talk, I will first briefly discuss the Euler equations and a discontinuous Galerkin method to solve them numerically. Then I will discuss the application of the Euler equations to model the SASI. I will conclude by showing results from a recent study (Dunham et al., arXiv:2307.10904) comparing simulations using relativistic and non-relativistic implementations of the Euler equations.
URL associated with Seminar: https://people.math.osu.edu/xing.205/seminar.html