TY - JOUR
T1 - A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications
AU - Liang, Zhi
AU - Gimbutas, Zydrunas
AU - Greengard, Leslie
AU - Huang, Jingfang
AU - Jiang, Shidong
N1 - Funding Information:
S.J. was supported in part by NSF under grant CCF-0905395 , J.H. was supported by NSF under grant CCF-0905473 . L.G. and Z.G. were supported in part by the Department of Energy under contract DEFG0288-ER-25053 and in part by the National Science Foundation under grant DMS-0934733 . Their support was thankfully acknowledged.
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
KW - Brownian dynamics
KW - Fast multipole method
KW - Hydrodynamic interaction
KW - Krylov subspace approximation
KW - Lanzcos iteration
KW - Rotne-prager-yamakawa tensor
KW - Square root matrix
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U2 - 10.1016/j.jcp.2012.09.021
DO - 10.1016/j.jcp.2012.09.021
M3 - Article
AN - SCOPUS:84870501090
SN - 0021-9991
VL - 234
SP - 133
EP - 139
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 1
ER -