A splitting scheme for highly dissipative smoothed particle dynamics

S. Litvinov, M. Ellero, X. Y. Hu, N. A. Adams

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

Abstract

Smoothed particle dynamics refers to Smoothed Particle Hydrodynamics (SPH) when simulating macroscopic flows and to Smoothed Dissipative Particle Dynamics (SDPD) when simulating mesoscopic flows. When the considered flow is highly dissipative, this otherwise very attractive method faces a serious time-step limitation. This difficulty, known in literature as Schmidt number problem for Dissipative Particle Dynamics (DPD), prevents the application of SDPD for important cases of liquid micro-flows. In this paper we propose a splitting scheme which allows to increase significantly the admissible time-step size for SPH and SDPD. Macroscopic and mesoscopic validation cases, and numerical simulations of polymer in shear flows suggest that this scheme is stable and accurate, and therefore efficient simulations at Schmidt numbers of order O(106) are possible.

Original languageEnglish
Pages (from-to)5457-5464
Number of pages8
JournalJournal of Computational Physics
Volume229
Issue number15
DOIs
StatePublished - Aug 2010

Keywords

  • Operator splitting
  • Schmidt number
  • Smoothed dissipative particle dynamics
  • Smoothed particle hydrodynamics

Fingerprint

Dive into the research topics of 'A splitting scheme for highly dissipative smoothed particle dynamics'. Together they form a unique fingerprint.

Cite this