A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics

Forrest W. Glines; Kristian R. C. Beckwith; Joshua R. Braun; Eric C. Cyr; Curtis C. Ober; Matthew Bettencourt; Keith L. Cartwright; Sidafa Conde; Sean T. Miller; Nicholas Roberds; Nathan V. Roberts; Matthew S. Swan; Roger Pawlowski

arXiv · 2205.00095

A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics

Forrest W. Glines·Kristian R. C. Beckwith·Joshua R. Braun·Eric C. Cyr·Curtis C. Ober·Matthew Bettencourt·Keith L. Cartwright·Sidafa Conde·Sean T. Miller·Nicholas Roberds·Nathan V. Roberts·Matthew S. Swan·Roger Pawlowski

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Abstract

In this work, we present a discontinuous-Galerkin method for evolving relativistic hydrodynamics. We include an exploration of analytical and iterative methods to recover the primitive variables from the conserved variables for the ideal equation of state and the Taub-Matthews approximation to the Synge equation of state. We also present a new operator for enforcing a physically permissible conserved state at all basis points within an element while preserving the volume average of the conserved state. We implement this method using the Kokkos performance-portability library to enable running at performance on both CPUs and GPUs. We use this method to explore the relativistic Kelvin- Helmholtz instability compared to a finite volume method. Last, we explore the performance of our implementation on CPUs and GPUs.

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Forrest W. Glines, Kristian R. C. Beckwith, Joshua R. Braun, Eric C. Cyr, Curtis C. Ober, Matthew Bettencourt, Keith L. Cartwright, Sidafa Conde, Sean T. Miller, Nicholas Roberds, Nathan V. Roberts, Matthew S. Swan, Roger Pawlowski. 2022-04-29. A Robust, Performance-Portable Discontinuous Galerkin Method for Relativistic Hydrodynamics. https://arxiv.org/abs/2205.00095

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