Journal
JOURNAL OF FLUID MECHANICS
Volume 731, Issue -, Pages -Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2013.402
Keywords
computational methods; low-Reynolds-number flows; suspensions
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Funding
- Polish National Science Centre [2012/05/B/ST8/03010]
- Foundation for Polish Science (FNP) [TEAM/2010-6/2]
- EU
- Polish Ministry of Science and Higher Education [N N202 055440]
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The Rotne-Prager-Yamakawa approximation is one of the most commonly used methods of including hydrodynamic interactions in modelling of colloidal suspensions and polymer solutions. The two main merits of this approximation are that it includes all long-range terms (i.e. decaying as R-3 or slower in interparticle distances) and that the diffusion matrix is positive definite, which is essential for Brownian dynamics modelling. Here, we extend the Rotne-Prager-Yamakawa approach to include both translational and rotational degrees of freedom, and derive the regularizing corrections to account for overlapping particles. Additionally, we show how the Rotne-Prager-Yamakawa approximation can be generalized for other geometries and boundary conditions.
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