TY - JOUR T1 - A Kernel-Independent Treecode for General Rotne-Prager-Yamakawa Tensor AU - Wang , Lei JO - Advances in Applied Mathematics and Mechanics VL - 2 SP - 296 EP - 310 PY - 2020 DA - 2020/12 SN - 13 DO - http://doi.org/10.4208/aamm.OA-2019-0322 UR - https://global-sci.org/intro/article_detail/aamm/18485.html KW - General Rotne-Prager-Yamakawa tensor, fast summation, treecode, barycentric Lagrange interpolation. AB -

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.