Phys. Rev. Lett. 98, 140602 (2007) [4 pages]Fast Computation of Many-Particle Hydrodynamic and Electrostatic Interactions in a Confined GeometryReceived 13 November 2006; published 6 April 2007 An O(N) method is presented for calculation of hydrodynamic or electrostatic interactions between N point particles in a confined geometry. This approach splits point forces or sources into a local contribution for which rapidly decaying free-space analytical solutions to the Stokes or Poisson equations are used, and a global contribution whose effect is determined numerically using a fast iterative method. The scheme is applied to Brownian dynamics simulations of flowing confined polymer solutions, and the effects of concentration on hydrodynamically induced migration phenomena are illustrated. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.140602
DOI:
10.1103/PhysRevLett.98.140602
PACS:
05.10.−a, 05.10.Gg, 47.11.−j, 47.57.Ng
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