Accurately simulating anisotropic thermal conduction on a moving mesh
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Accurately simulating anisotropic thermal conduction on a moving mesh.pdf
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7.15 MB
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Author(s)
Kannan, Rahul
Marinacci, Federico
Vogelsberger, Mark
Date Issued
February 2016
Journal
Monthly Notices of the Royal Astronomical Society
Publisher
Oxford University Press
Citation
Kannan, Rahul; Springel, Volker; Pakmor, Rüdiger; Marinacci, Federico and Vogelsberger, Mark. “Accurately Simulating Anisotropic Thermal Conduction on a Moving Mesh.” Monthly Notices of the Royal Astronomical Society 458, no. 1 (February 8, 2016): 410–424.
Version
Original manuscript
Abstract
We present a novel implementation of an extremum preserving anisotropic diffusion solver for thermal conduction on the unstructured moving Voronoi mesh of the Arepo code. The method relies on splitting the one-sided facet fluxes into normal and oblique components, with the oblique fluxes being limited such that the total flux is both locally conservative and extremum preserving. The approach makes use of harmonic averaging points and a simple, robust interpolation scheme that works well for strong heterogeneous and anisotropic diffusion problems. Moreover, the required discretization stencil is small. Efficient fully implicit and semi-implicit time integration schemes are also implemented. We perform several numerical tests that evaluate the stability and accuracy of the scheme, including applications such as point explosions with heat conduction and calculations of convective instabilities in conducting plasmas. The new implementation is suitable for studying important astrophysical phenomena, such as the conductive heat transport in galaxy clusters, the evolution of supernova remnants, or the distribution of heat from black hole-driven jets into the intracluster medium.
MIT Department
Massachusetts Institute of Technology. Department of Physics
MIT Kavli Institute for Astrophysics and Space Research
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1093/mnras/stw294
