The gap-tooth method in particle simulations

C. William Gear, Ju Li, Ioannis G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

105 Scopus citations


We explore the gap-tooth method for multiscale modeling of systems represented by microscopic physics-based simulators, when coarse-grained evolution equations are not available in closed form. A biased random walk particle simulation, motivated by the viscous Burgers equation, serves as an example. We construct macro-to-micro (lifting) and micro-to-macro (restriction) operators, and drive the coarse time-evolution by particle simulations in appropriately coupled microdomains ("teeth") separated by large spatial gaps. A macroscopically interpolative mechanism for communication between the teeth at the particle level is introduced. The results demonstrate the feasibility of a "closure-on-demand" approach to solving some hydrodynamics problems.

Original languageEnglish (US)
Pages (from-to)190-195
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3-4
StatePublished - Sep 22 2003

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


  • Closure-on-demand
  • Gap-tooth
  • Lifting
  • Modeling
  • Multiscale
  • Restriction


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