PPPM and TreePM Methods on GRAPE Systems for Cosmological N-Body Simulations
Author(s) -
Kohji Yoshikawa,
Toshiyuki Fukushige
Publication year - 2005
Publication title -
publications of the astronomical society of japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.99
H-Index - 110
eISSN - 2053-051X
pISSN - 0004-6264
DOI - 10.1093/pasj/57.6.849
Subject(s) - implementation , scalability , smoothed particle hydrodynamics , cluster analysis , particle (ecology) , node (physics) , cluster (spacecraft) , physics , tree (set theory) , parallel computing , computational science , grid , computer science , astrophysics , geometry , mathematics , database , programming language , mathematical analysis , oceanography , geology , quantum mechanics , machine learning
We present Particle-Particle-Particle-Mesh (PPPM) and Tree Particle-Mesh(TreePM) implementations on GRAPE-5 and GRAPE-6A systems, special-purposehardware accelerators for gravitational many-body simulations. In our PPPM andTreePM implementations on GRAPE, the computational time is significantlyreduced compared with the conventional implementations without GRAPE,especially under the strong particle clustering, and almost constantirrespective of the degree of particle clustering. We carry out the survey oftwo simulation parameters, the PM grid spacing and the opening parameter forthe most optimal combination of force accuracy and computational speed. We alsodescribe the parallelization of these implementations on a PC-GRAPE cluster, inwhich each node has one GRAPE board, and present the optimal configuration ofsimulation parameters for good parallel scalability.Comment: 21 pages, 9 figures, accepted for publication in PAS
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