Year: 2021
Author: Lei Wang
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 296–310
Abstract
A particle-cluster treecode based on barycentric Lagrange interpolation is presented for fast summation of hydrodynamic interactions through general Rotne-Prager-Yamakawa tensor in 3D. The interpolation nodes are taken to be Chebyshev points of the 2nd kind in each cluster. The barycentric Lagrange interpolation is scale-invariant that promotes the treecode's efficiency. Numerical results show that the treecode CPU time scales like $\mathcal{O}(N \log N)$, where $N$ is the number of beads in the system. The kernel-independent treecode is a relatively simple algorithm with low memory consumption, and this enables a straightforward OpenMP parallelization.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0322
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 2 : pp. 296–310
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: General Rotne-Prager-Yamakawa tensor fast summation treecode barycentric Lagrange interpolation.
Author Details
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