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Astrophysics

arXiv:0711.4141 (astro-ph)
[Submitted on 26 Nov 2007]

Title:Numerical comparison of Riemann solvers for astrophysical hydrodynamics

Authors:Christian Klingenberg, Wolfram Schmidt, Knut Waagan
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Abstract: The idea of this work is to compare a new positive and entropy stable approximate Riemann solver by Francois Bouchut with a state-of the-art algorithm for astrophysical fluid dynamics. We implemented the new Riemann solver into an astrophysical PPM-code, the Prometheus code, and also made a version with a different, more theoretically grounded higher order algorithm than PPM. We present shock tube tests, two-dimensional instability tests and forced turbulence simulations in three dimensions. We find subtle differences between the codes in the shock tube tests, and in the statistics of the turbulence simulations. The new Riemann solver increases the computational speed without significant loss of accuracy.
Comments: 24 pages, 38 figures. To be published in Journal of Computational Physics
Subjects: Astrophysics (astro-ph)
Cite as: arXiv:0711.4141 [astro-ph]
  (or arXiv:0711.4141v1 [astro-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.4141
Related DOI: https://doi.org/10.1016/j.jcp.2007.07.034

Submission history

From: Knut Waagan [view email]
[v1] Mon, 26 Nov 2007 22:54:33 UTC (2,154 KB)
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