Abstract
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 language | English (US) |
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Pages (from-to) | 190-195 |
Number of pages | 6 |
Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 316 |
Issue number | 3-4 |
DOIs | |
State | Published - Sep 22 2003 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy
Keywords
- Closure-on-demand
- Gap-tooth
- Lifting
- Modeling
- Multiscale
- Restriction