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Application of Algebraic Approximation to Three Dimensional Multibody Coulomb Problem: Implementation of GPGPU

Shun-ichi OIKAWA, Koichiro HIGASHI and Yutaka MATSUMOTO

Graduate School of Engineering, Hokkaido University, N-13, W-8, Sapporo 060-8628, Japan

(Received 7 December 2009 / Accepted 5 March 2010 / Published 10 December 2010)

Abstract

The algebraic model (ALG) proposed by the authors has sufficiently high accuracy in calculating the motion of a test particle with all the field particles at rest. When all the field particles are moving, however, the ALG has relatively poor prediction ability on the motion of the test particle initially at rest. Nonetheless, the ALG approximation gives a good results for the statistical quantities, such as variance of velocity changes or the scattering cross section, for a sufficiently large number of Monte Carlo trials. We have implemented a graphics processing unit (GPU) using NVIDIA's CUDA architecture into the ALG scheme for Coulomb multibody problems. For N=28-body problem, the ALG calculations on the GPU is several times faster than on a typical CPU. The achieved speedup ratios on an NVIDIA GTX-285 are 10.5 and 2500 against the ALG-CPU and the DIM-CPU, respectively both on an Intel Celeron @3.06 GHz.

Copyright (c) 2010 The Japan Society of Plasma Science and Nuclear Fusion Research

Keywords

multibody problem, algebraic approximation, diffusion, General Purpose Graphics Processing Unit (GPGPU)

DOI: 10.1585/pfr.5.S2026

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This paper may be cited as follows:

Shun-ichi OIKAWA, Koichiro HIGASHI and Yutaka MATSUMOTO, Plasma Fusion Res. 5, S2026 (2010).