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Journal of Computational Physics 178, 342372 (2002) doi:10.1006/jcph.2002.7030, available online at http://www.idealibrary.com on
 

Summary: Journal of Computational Physics 178, 342­372 (2002)
doi:10.1006/jcph.2002.7030, available online at http://www.idealibrary.com on
A Combined Continuum/DSMC Technique for
Multiscale Analysis of Microfluidic Filters
Ozgur Aktas and N. R. Aluru1
Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign,
405 N. Mathews Avenue, Urbana, Illinois 61801
Received June 12, 2001; revised December 3, 2001
A multiscale method that combines continuum fluid models with the direct simu-
lation Monte Carlo (DSMC) method is presented. The continuum regions are treated
by Stokes equations and a scattered point based finite cloud method is employed
to solve the Stokes equations. The continuum and DSMC regions are combined by
an overlapped Schwarz alternating method with Dirichlet­Dirichlet type boundary
conditions. A scattered point interpolation scheme is developed to interpolate the
solution between subdomains. The convergence characteristics of the multiscale ap-
proach are investigated in detail. Specifically, the dependence of convergence on the
overlap size, the DSMC noise, and the number of time steps employed in the DSMC
algorithm are studied. While the convergence depends weakly on the DSMC noise
and the overlap size, the number of DSMC time steps simulated in each coupling
iteration should be selected so that the total time steps simulated until convergence

  

Source: Aluru, Narayana R. - Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign

 

Collections: Engineering; Materials Science