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Title:Large Scale Simulations of Brownian Suspensions
Author(s):Viera, Marc Nathaniel
Doctoral Committee Chair(s):Higdon, Jonathan J.L.
Department / Program:Chemical Engineering
Discipline:Chemical Engineering
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, Fluid and Plasma
Abstract:Our algorithm follows a Stokesian dynamics formulation by evaluating many-body hydrodynamic interactions using a far-field multipole expansion combined with a near-field lubrication correction. The breakthrough O(N ln N) scaling is obtained by employing a Particle-Mesh-Ewald (PME) approach whereby near-field interactions are evaluated directly and far-field interactions are evaluated using a grid based velocity computed with FFT's. This approach is readily extended to include the effects of Brownian motion. For interacting particles, the fluctuation-dissipation theorem requires that the individual Brownian forces satisfy a correlation based on the N body resistance tensor R. The accurate modeling of these forces requires the computation of a matrix square root R 1/2 for matrices up to order 2 x 105. The cost of this operation via direct methods would be prohibitive and would completely overwhelm the computational cost of the Stokesian dynamics calculation. We have developed a novel iterative approach which exploits the Particle-Mesh-Ewald formulation to perform this calculation.
Issue Date:2002
Description:417 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.
Other Identifier(s):(MiAaPQ)AAI3070465
Date Available in IDEALS:2015-09-25
Date Deposited:2002

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