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

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]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Report Number(s):
LLNL-JRNL-679768
Journal ID: ISSN 1538-4357
Grant/Contract Number:
AC52-07NA27344
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)
Research Org:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 97 MATHEMATICS AND COMPUTING; methods: numerical; planets and satellites: terrestrial planets
OSTI Identifier:
1438770

Raskin, Cody, and Owen, J. Michael. Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions. United States: N. p., Web. doi:10.3847/0004-637X/820/2/102.
Raskin, Cody, & Owen, J. Michael. Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions. United States. doi:10.3847/0004-637X/820/2/102.
Raskin, Cody, and Owen, J. Michael. 2016. "Rapid Optimal SPH Particle Distributions in Spherical Geometries For Creating Astrophysical Initial Conditions". United States. doi:10.3847/0004-637X/820/2/102. https://www.osti.gov/servlets/purl/1438770.
@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 = {2016},
month = {3}
}