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Application of Euler Equations to Model Astrophysical Flows

Erik Endive
February 29, 2024
1:50PM - 2:45PM
MW100A

Date Range
Add to Calendar 2024-02-29 13:50:00 2024-02-29 14:45:00 Application of Euler Equations to Model Astrophysical Flows Title:  Application of Euler Equations to Model Astrophysical FlowsSpeaker:  Eirik Endeve (Oak Ridge National Laboratory)Speaker's URL:  https://www.ornl.gov/staff-profile/eirik-endeveAbstract:  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  MW100A Department of Mathematics math@osu.edu America/New_York public

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
 

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