A Finite Element Method for Angular Discretization of the Radiation Transport Equation on Spherical Geodesic Grids

Bhattacharyya, Maitraya K.; Radice, David

doi:10.48550/arxiv.2212.01409

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2023

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“…These are evolved in the P N method, which has been applied to GR transport by Radice et al (2013). Conceptually intermediate between S N and P N , finite-element discretizations of the sphere have been considered for special relativistic (SR) transport (Bhattacharyya & Radice 2022), with the GR case still under development.…”

Section: Introductionmentioning

confidence: 99%

An Extension of the Athena++ Code Framework for Radiation-magnetohydrodynamics in General Relativity Using a Finite-solid-angle Discretization

White

Mullen

Jiang

et al. 2023

ApJ

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We extend the general-relativistic magnetohydrodynamics (GRMHD) capabilities of Athena++ to incorporate radiation. The intensity field in each finite-volume cell is discretized in angle, with explicit transport in both space and angle properly accounting for the effects of gravity on null geodesics, and with matter and radiation coupled in a locally implicit fashion. Here we describe the numerical procedure in detail, verifying its correctness with a suite of tests. Motivated in particular by black hole accretion in the high-accretion-rate, thin-disk regime, we demonstrate the application of the method to this problem. With excellent scaling on flagship computing clusters, the port of the algorithm to the GPU-enabled AthenaK code now allows the simulation of many previously intractable radiation-GRMHD systems.

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Section: Introductionmentioning

confidence: 99%