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Title: Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions

Abstract

Creating spherical initial conditions in smoothed particle hydrodynamics simulations that are spherically conformal is a difficult task. Here in this paper, we describe two algorithmic methods for evenly distributing points on surfaces that when paired can be used to build three-dimensional spherical objects with optimal equipartition of volume between particles, commensurate with an arbitrary radial density function. We demonstrate the efficacy of our method against stretched lattice arrangements on the metrics of hydrodynamic stability, spherical conformity, and the harmonic power distribution of gravitational settling oscillations. We further demonstrate how our method is highly optimized for simulating multi-material spheres, such as planets with core–mantle boundaries.

Authors:
 [1];  [1]
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  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1438770
Report Number(s):
LLNL-JRNL-679768
Journal ID: ISSN 1538-4357; TRN: US1900519
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 820; Journal Issue: 2; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 97 MATHEMATICS AND COMPUTING; methods: numerical; planets and satellites: terrestrial planets

Citation Formats

Raskin, Cody, and Owen, J. Michael. Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions. United States: N. p., 2016. Web. doi:10.3847/0004-637X/820/2/102.
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Raskin, Cody, & Owen, J. Michael. Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions. United States. https://doi.org/10.3847/0004-637X/820/2/102
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Raskin, Cody, and Owen, J. Michael. Thu . "Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions". United States. https://doi.org/10.3847/0004-637X/820/2/102. https://www.osti.gov/servlets/purl/1438770.
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@article{osti_1438770,
title = {Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions},
author = {Raskin, Cody and Owen, J. Michael},
abstractNote = {Creating spherical initial conditions in smoothed particle hydrodynamics simulations that are spherically conformal is a difficult task. Here in this paper, we describe two algorithmic methods for evenly distributing points on surfaces that when paired can be used to build three-dimensional spherical objects with optimal equipartition of volume between particles, commensurate with an arbitrary radial density function. We demonstrate the efficacy of our method against stretched lattice arrangements on the metrics of hydrodynamic stability, spherical conformity, and the harmonic power distribution of gravitational settling oscillations. We further demonstrate how our method is highly optimized for simulating multi-material spheres, such as planets with core–mantle boundaries.},
doi = {10.3847/0004-637X/820/2/102},
journal = {The Astrophysical Journal (Online)},
number = 2,
volume = 820,
place = {United States},
year = {Thu Mar 24 00:00:00 EDT 2016},
month = {Thu Mar 24 00:00:00 EDT 2016}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.3847/0004-637X/820/2/102
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Citation Metrics:
Cited by: 7 works
Citation information provided by
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Figures / Tables:

Fig. 1 Fig. 1: A graphical representation a single-level triangle refinement.
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Works referenced in this record:

Late‐Time Convection in the Collapse of a 23 M ⊙ Star
journal, April 2007

  • Fryer, Christopher L.; Young, Patrick A.
  • The Astrophysical Journal, Vol. 659, Issue 2
  • DOI: 10.1086/513003

Discreteness effects in simulations of hot/warm dark matter: Discreteness effects in HDM/WDM simulations
journal, August 2007

Collapse of a Molecular Cloud Core to Stellar Densities: The First Three-dimensional Calculations
journal, November 1998

  • Bate, Matthew R.
  • The Astrophysical Journal, Vol. 508, Issue 1
  • DOI: 10.1086/311719

An Alternative to Grids and Glasses: Quaquaversal Pre‐Initial Conditions for N ‐Body Simulations
journal, February 2007

  • Hansen, Steen H.; Agertz, Oscar; Joyce, Michael
  • The Astrophysical Journal, Vol. 656, Issue 2
  • DOI: 10.1086/510477

Gamma‐Ray Lines from Asymmetric Supernovae
journal, September 2003

  • Hungerford, Aimee L.; Fryer, Chris L.; Warren, Michael S.
  • The Astrophysical Journal, Vol. 594, Issue 1
  • DOI: 10.1086/376776

Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapse
journal, February 2002

Stellar encounters involving neutron stars in globular cluster cores
journal, December 1992

  • Davies, M. B.; Benz, W.; Hills, J. G.
  • The Astrophysical Journal, Vol. 401
  • DOI: 10.1086/172056

Smoothed particle hydrodynamics: theory and application to non-spherical stars
journal, December 1977

  • Gingold, R. A.; Monaghan, J. J.
  • Monthly Notices of the Royal Astronomical Society, Vol. 181, Issue 3
  • DOI: 10.1093/mnras/181.3.375

Modeling Core-Collapse Supernovae in Three Dimensions
journal, July 2002

  • Fryer, Chris L.; Warren, Michael S.
  • The Astrophysical Journal, Vol. 574, Issue 1
  • DOI: 10.1086/342258

A numerical approach to the testing of the fission hypothesis
journal, December 1977

A simulation of the collapse and fragmentation of cooling molecular clouds
journal, July 1991

  • Monaghan, Joe J.; Lattanzio, John C.
  • The Astrophysical Journal, Vol. 375
  • DOI: 10.1086/170179

Stellar encounters involving red giants in globular cluster cores
journal, November 1991

  • Davies, M. B.; Benz, W.; Hills, J. G.
  • The Astrophysical Journal, Vol. 381
  • DOI: 10.1086/170668

Distributing many points on a sphere
journal, December 1997

  • Saff, E. B.; Kuijlaars, A. B. J.
  • The Mathematical Intelligencer, Vol. 19, Issue 1
  • DOI: 10.1007/BF03024331

Generating Optimal Initial Conditions for Smoothed Particle Hydrodynamics Simulations
journal, January 2015

  • Diehl, S.; Rockefeller, G.; Fryer, C. L.
  • Publications of the Astronomical Society of Australia, Vol. 32
  • DOI: 10.1017/pasa.2015.50

The origin of the Moon and the single-impact hypothesis, II
journal, July 1987

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    • Bobrick, Alexey; Davies, Melvyn B.; Church, Ross P.
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    Planetary giant impacts: convergence of high-resolution simulations using efficient spherical initial conditions and swift
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    Consequences of Giant Impacts on Early Uranus for Rotation, Internal Structure, Debris, and Atmospheric Erosion
    journal, July 2018

    • Kegerreis, J. A.; Teodoro, L. F. A.; Eke, V. R.
    • The Astrophysical Journal, Vol. 861, Issue 1
    • DOI: 10.3847/1538-4357/aac725
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      Figures / Tables found in this record:

      Fig. 1 (p. 6)figure
      Fig. 2 (p. 7)figure
      Fig. 3 (p. 8)figure
      Fig. 4 (p. 9)figure
      Fig. 5 (p. 15)figure
      Fig. 6 (p. 16)figure
      Fig. 7 (p. 16)figure
      Fig. 8 (p. 17)figure
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