Lees-Edwards boundary conditions

2012-08-30T16:59:17Z

71.208.234.93:

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'''Lees-Edwards boundary conditions''' are an adaptation of standard [[periodic boundary conditions]] for [[Molecular dynamics | molecular dynamics simulations]] of [[Stress |shear]] flow <ref>[http://dx.doi.org/10.1088/0022-3719/5/15/006 A. W. Lees and S. F. Edwards "The computer study of transport processes under extreme conditions", Journal of Physics C: Solid State Physics '''5''' pp. 1921- (1972)]</ref>. These boundary conditions provide a shear by giving each periodic domain a velocity proportional to the domain's vertical position compared to the center domain. Lees-Edwards BCs typically generate a simple shear flow velocity profile where the local average velocity (within the center periodic domain) is directly proportion to the vertical position. (v_x is directly proportional to y)

==References==
<references/>
'''Related reading'''
*[http://epress.anu.edu.au/sm/html/ch06s03.html Couette Flow and Shear Viscosity], in [http://epress.anu.edu.au/sm_citation.html Denis J. Evans and Gary P. Morriss "Statistical Mechanics of Nonequilibrium Liquids" ANU E Press (2007)] ISBN 9780521857918
*[http://dx.doi.org/10.1016/0167-8191(96)00027-0 Sanjeev R. Rastogi and Norman J. Wagner "A parallel algorithm for Lees-Edwards boundary conditions", Parallel Computing '''22''' pp. 895-901 (1996)]
*[http://dx.doi.org/10.1063/1.3537974 Hideki Kobayashi and Ryoichi Yamamoto "Implementation of Lees–Edwards periodic boundary conditions for direct numerical simulations of particle dispersions under shear flow", Journal of Chemical Physics '''134''' 064110 (2011)]
[[category: Computer simulation techniques]]

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Lees-Edwards boundary conditions