A level set projection model of lipid vesicles in general flows

D. Salac*, M. Miksis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

54 Scopus citations

Abstract

A new numerical method to model the dynamic behavior of lipid vesicles under general flows is presented. A gradient-augmented level set method is used to model the membrane motion. To enforce the volume- and surface-incompressibility constraints a four-step projection method is developed to integrate the full Navier-Stokes equations. This scheme is implemented on an adaptive non-graded Cartesian grid. Convergence results are presented, along with sample two-dimensional results of vesicles under various flow conditions.

Original languageEnglish (US)
Pages (from-to)8192-8215
Number of pages24
JournalJournal of Computational Physics
Volume230
Issue number22
DOIs
StatePublished - Sep 10 2011

Keywords

  • Fluid membrane
  • Level set
  • Lipid vesicle
  • Numerical method
  • Projection method

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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