RPYFMM: Parallel Adaptive Fast Multipole Method for Rotne-Prager-Yamakawa Tensor in Biomolecular Hydrodynamics Simulations

Computer Physics Communications
W GuanB Zhang

Abstract

RPYFMM is a software package for the efficient evaluation of the potential field governed by the Rotne-Prager-Yamakawa (RPY) tensor interactions in biomolecular hydrodynamics simulations. In our algorithm, the RPY tensor is decomposed as a linear combination of four Laplace interactions, each of which is evaluated using the adaptive fast multipole method (FMM) [1] where the exponential expansions are applied to diagonalize the multipole-to-local translation operators. RPYFMM offers a unified execution on both shared and distributed memory computers by leveraging the DASHMM library [2, 3]. Preliminary numerical results show that the interactions for a molecular system of 15 million particles (beads) can be computed within one second on a Cray XC30 cluster using 12, 288 cores, while achieving approximately 54% strong-scaling efficiency.

References

Mar 26, 2009·The Journal of Chemical Physics·Tihamér Geyer, Uwe Winter
Aug 18, 2012·The Journal of Chemical Physics·Tadashi AndoJeffrey Skolnick
Jan 22, 2013·Biophysical Journal·Tadashi Ando, Jeffrey Skolnick
Jun 8, 2013·The Journal of Chemical Physics·Nuo WangJ Andrew McCammon

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