Open Access
December 2007 Seamless multiscale modeling of complex fluids using fiber bundle dynamics
Weiqing Ren
Commun. Math. Sci. 5(4): 1027-1037 (December 2007).


We present a seamless multiscale model and an efficient coupling scheme for the study of complex fluids. The multiscale model consists of macroscale conservation laws for mass and momentum, molecular dynamics on fiber bundles, as well as the Irving-Kirkwood formula which links the macroscale stress tensor with the microscopic variables. The macroscale and microscale models are solved with a macro time step and a micro time step respectively. The two models are synchronized at each time step by exchanging the velocity gradient (from macro to micro) and the stress tensor (from micro to macro). The multiscale method is applied to study the dynamics of polymer fluids in a channel driven by external forces.


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Weiqing Ren. "Seamless multiscale modeling of complex fluids using fiber bundle dynamics." Commun. Math. Sci. 5 (4) 1027 - 1037, December 2007.


Published: December 2007
First available in Project Euclid: 3 January 2008

zbMATH: 1151.76367
MathSciNet: MR2375059

Primary: 65C35 , 65Z05 , 76M25

Keywords: Complex fluids , fiber bundle , molecular dynamics , multiscale modeling

Rights: Copyright © 2007 International Press of Boston

Vol.5 • No. 4 • December 2007
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