NDLI: A Computation- and Communication-Optimal Parallel Direct 3-Body Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Koanantakool, Penporn Yelick, Katherine
Copyright Year	2014
Abstract	Traditional particle simulation methods are used to calculate pair wise potentials, but some problems require 3-body potentials that calculate over triplets of particles. A direct calculation of 3-body interactions involves O(n3) interactions, but has significant redundant computations that occur in a nested loop formulation. In this paper we explore algorithms for 3-body computations that simultaneously optimize three criteria: computation minimization through symmetries, communication optimality, and load balancing. We present a new 3-body algorithm that is both communication and computation optimal. Its optional replication factor, c, saves c3 in latency (number of messages) and c2 in bandwidth (volume), with bounded load imbalance. We also consider the k-body case and discuss an algorithm that is optimal if there is a cut off distance of less than 1/3 of the domain. The 3-body algorithm demonstrates 99% efficiency on tens of thousands of cores, showing strong scaling properties with order of magnitude speedups over the nïve algorithm.
Starting Page	363
Ending Page	374
File Size	492701
Page Count	12
File Format	PDF
ISSN	21674337
e-ISBN	9781479955008
DOI	10.1109/SC.2014.35
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-11-16
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Program processors Force Approximation algorithms Bandwidth Clustering algorithms Three-dimensional displays Heuristic algorithms n-body parallel algorithms communication-avoiding algorithms particle methods
Content Type	Text
Resource Type	Article

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