Particle splitting in smoothed particle hydrodynamics based on Voronoi diagram

Gen Chiaki, Naoki Yoshida

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)


We present a novel method for particle splitting in smoothed particle hydrodynamics simulations. Our method utilizes the Voronoi diagram for a given particle set to determine the position of fine daughter particles. We perform several test simulations to compare our method with a conventional splitting method in which the daughter particles are placed isotropically over the local smoothing length. We show that, with our method, the density deviation after splitting is reduced by a factor of about 2 compared with the conventional method. Splitting would smooth out the anisotropic density structure if the daughters are distributed isotropically, but our scheme allows the daughter particles to trace the original density distribution with lengthscales of the mean separation of their parent. We apply the particle splitting to simulations of the primordial gas cloud collapse. The thermal evolution is accurately followed to the hydrogen number density of 1012 cm-3. With the effective mass resolution of ~10-4M⊙ after the multistep particle splitting, the protostellar disc structure is well resolved. We conclude that the method offers an efficient way to simulate the evolution of an interstellar gas and the formation of stars.

Original languageEnglish
Pages (from-to)3955-3963
Number of pages9
JournalMonthly Notices of the Royal Astronomical Society
Issue number4
Publication statusPublished - 2015 Apr 24
Externally publishedYes


  • Gravitation
  • Hydrodynamics
  • Methods: numerical
  • Stars: formation
  • Stars: population III

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


Dive into the research topics of 'Particle splitting in smoothed particle hydrodynamics based on Voronoi diagram'. Together they form a unique fingerprint.

Cite this