Smoothed profile method for direct numerical simulations of hydrodynamically interacting particles

Ryoichi Yamamoto, John J. Molina, Yasuya Nakayama

Research output: Contribution to journalReview articlepeer-review

15 Citations (Scopus)


A general method is presented for computing the motions of hydrodynamically interacting particles in various kinds of host fluids for arbitrary Reynolds numbers. The method follows the standard procedure for performing direct numerical simulations (DNS) of particulate systems, where the Navier-Stokes equation must be solved consistently with the motion of the rigid particles, which defines the temporal boundary conditions to be satisfied by the Navier-Stokes equation. The smoothed profile (SP) method provides an efficient numerical scheme for coupling the continuum fluid mechanics with the dispersed moving particles, which are allowed to have arbitrary shapes. In this method, the sharp boundaries between solid particles and the host fluid are replaced with a smeared out thin shell (interfacial) region, which can be accurately resolved on a fixed Cartesian grid utilizing a SP function with a finite thickness. The accuracy of the SP method is illustrated by comparison with known exact results. In the present paper, the high degree of versatility of the SP method is demonstrated by considering several types of active and passive particle suspensions.

Original languageEnglish
Pages (from-to)4226-4253
Number of pages28
JournalSoft Matter
Issue number16
Publication statusPublished - Apr 28 2021

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Condensed Matter Physics


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