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Cited by 18

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Density-Independent Smoothed Particle Hydrodynamics for a Non-Ideal Equation of State

Hosono, Natsuki, Saitoh, Takayuki R., Makino, Junichiro·2013·Publications of the Astronomical Society of Japan
DOI 10.1093/pasj/65.5.108
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Abstract

The smoothed particle hydrodynamics (SPH) method is a useful numerical tool to study a variety of astrophysical and planetlogical problems. However, it turned out that the standard SPH algorithm has problems in dealing with hydrodynamical instabilities. This problem is due to the assumption that the local density distribution is differentiable. In order to solve this problem, a new SPH formulation, which does not require the differentiability of the density, was proposed. This new SPH method improved the treatment of hydrodynamical instabilities. This method, however, is applicable only to the equation of state (EOS) of an ideal gas. In this paper, we describe how to extend the new SPH method to non-ideal EOS. We present the results of various standard numerical tests for non-ideal EOS. Our new method works well for non-ideal EOS. We conclude that our new SPH can handle hydrodynamical instabilities for an arbitrary EOS, and that it is an attractive alternative to the standard SPH.

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Cited by

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Metadata

Authors
Hosono, N., Saitoh, T. R., & Makino, J.
Affiliations
  • 1Department of Earth and Planetary Sciences, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551 natsuki.h@geo.titech.ac.jp
  • 2Earth-Life Science Institute, Tokyo Institute of Technology, 2-12-1 E-1, Ookayama, Meguro-ku, Tokyo 152-8550
Venue
Publications of the Astronomical Society of Japan
Publisher
Oxford University Press (OUP)
Published
2013-10-25
Volume
65
Issue
5
ISSN
  • 2053-051X
  • 0004-6264
DOI
10.1093/pasj/65.5.108
Cited by
18
References
1
Language
en
Licence
creativecommons.org/licenses/by-nc-nd/3.0/ (vor, 3708 d)

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CoChat. (2026). Citation check: Density-Independent Smoothed Particle Hydrodynamics for a Non-Ideal Equation of State. https://app.cochat.ai/papers/10.1093/pasj/65.5.108
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Hosono, N., Saitoh, T. R., & Makino, J. (2013). Density-Independent Smoothed Particle Hydrodynamics for a Non-Ideal Equation of State. Publications of the Astronomical Society of Japan. https://doi.org/10.1093/pasj/65.5.108

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