Handbook of Materials Modeling
pp 24752486
Lattice Boltzmann Methods for Multiscale Fluid Problems
 Sauro SucciAffiliated withDepartment of Mathematics, Princeton University
 , Weinan EAffiliated withDepartment of Physics, Harvard University
 , Efthimios KaxirasAffiliated withIstituto Applicazioni Calcolo, National Research Council
Abstract
Complex interdisciplinary phenomena, such as drug design, crackpropagation, heterogeneous catalysis, turbulent combustion and many others, raise a growing demand of simulational methods capable of handling the simultaneous interaction of multiple space and time scales. Computational schemes aimed at such type of complex applications often involve multiple levels of physical and mathematical description, and are consequently referred to as to multiphysics methods [1–3]. The opportunity for multiphysics methods arises whenever singlelevel methods, say molecular dynamics and partial differential equations of continuum mechanics, expand their range of scales to the point where overlap becomes possible. In order to realize this multiphysics potential specific efforts must be directed towards the development of robust and efficient interfaces dealing with “handshaking” regions where the exchange of information between the different schemes takes place. Twolevel schemes combing atomistic and continuum methods for crack propagation in solids or strong shock fronts in rarefied gases have made their appearance in the early 90s. More recently, threelevel schemes for crack dynamics, combining finiteelement treatment of continuum mechanics far away from the crack with molecular dynamics treatment of atomic motion in the nearcrack region and a quantum mechanical description of bondsnapping in the crack tip have been demonstrated.
 Title
 Lattice Boltzmann Methods for Multiscale Fluid Problems
 Book Title
 Handbook of Materials Modeling
 Book Subtitle
 Methods
 Book Part
 Chapter 8
 Pages
 pp 24752486
 Copyright
 2005
 DOI
 10.1007/9781402032868_129
 Print ISBN
 9781402032875
 Online ISBN
 9781402032868
 Publisher
 Springer Netherlands
 Copyright Holder
 Springer
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 Editors

 Sidney Yip ^{(1)}
 Editor Affiliations

 1. Massachusetts Institute of Technology
 Authors

 Sauro Succi ^{(2)}
 Weinan E ^{(3)}
 Efthimios Kaxiras ^{(4)}
 Author Affiliations

 2. Department of Mathematics, Princeton University, Princeton, NJ, 085441000, USA
 3. Department of Physics, Harvard University, Cambridge, MA, 02138, USA
 4. Istituto Applicazioni Calcolo, National Research Council, viale del Policlinico, 137, 00161, Rome, Italy
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