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	A general strategy for designing seamless multiscale methods
	Weinan, E. ; Ren, Weiqing ; Vanden-Eijnden, Eric
	2009
关键词	Multiscale method Seamless Error estimates Complex fluids NONEQUILIBRIUM MOLECULAR-DYNAMICS COMPLEX FLUIDS EQUATIONS SIMULATIONS FLOW
英文摘要	We present a new general framework for designing multiscale methods. Compared with previous work such as Brandt's systematic up-scaling, the heterogeneous multiscale method (HMM) and the "equation-free" approach, this new framework has the distinct feature that it does not require reinitializing the microscale model at each macro time step or each macro iteration step. In the new strategy, the macro- and micro-models evolve simultaneously using different time steps (and therefore different clocks), and they exchange data at every step. The micro-model uses its own appropriate time step. The macro-model runs at a slower pace than required by accuracy and stability considerations for the macroscale dynamics, in order for the micro-model to relax. Examples are discussed and application to modeling complex fluids is presented. (C) 2009 Elsevier Inc. All rights reserved.; Computer Science, Interdisciplinary Applications; Physics, Mathematical; SCI(E); 13; ARTICLE; 15; 5437-5453; 228
语种	英语
出处	SCI
出版者	计算物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157714]
专题	数学科学学院
推荐引用方式 GB/T 7714	Weinan, E.,Ren, Weiqing,Vanden-Eijnden, Eric. A general strategy for designing seamless multiscale methods. 2009-01-01.

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