期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 234, 期 -, 页码 133-139出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.09.021
关键词
Square root matrix; Fast multipole method; Brownian dynamics; Hydrodynamic interaction; Lanzcos iteration; Krylov subspace approximation; Rotne-Prager-Yamakawa tensor
资金
- NSF [CCF-0905395, CCF-0905473]
- Department of Energy [DEFG0288-ER-25053]
- National Science Foundation [DMS-0934733]
- Direct For Computer & Info Scie & Enginr
- Division of Computing and Communication Foundations [0905395] Funding Source: National Science Foundation
- Division of Computing and Communication Foundations
- Direct For Computer & Info Scie & Enginr [0905473] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0854961] Funding Source: National Science Foundation
We present a fast multipole method (FMM) for computing sums involving the Rotne-Prager-Yamakawa tensor. The method, similar to the approach in Tornberg and Greengard (2008) [26] for the Stokeslet, decomposes the tensor vector product into a sum of harmonic potentials and fields induced by four different charge and dipole distributions. Unlike the approach based on the kernel independent fast multipole method (Ying et al., 2004) [31], which requires nine scalar FMM calls, the method presented here requires only four. We discuss its applications to Brownian dynamics simulation with hydrodynamic interactions, and present some timing results. (C) 2012 Elsevier Inc. All rights reserved.
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