期刊
PHYSICS LETTERS A
卷 316, 期 3-4, 页码 190-195出版社
ELSEVIER
DOI: 10.1016/j.physleta.2003.07.004
关键词
modeling; multiscale; closure-on-demand; gap-tooth; lifting; restriction
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. (C) 2003 Elsevier B.V. All rights reserved.
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