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Automatic dynamics simplification in Fast Multipole Method: application to large flocking systems

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Abstract

This paper introduces a novel framework with the ability to adjust simulation’s accuracy level dynamically for simplifying the dynamics computation of large particle systems to improve simulation speed. Our new approach follows the overall structure of the well-known Fast Multipole Method (FMM) coming from computational physics. The main difference is that another level of simplification has been introduced by combining the concept of motion levels of detail from computer graphics with the FMM. This enables us to have more control on the FMM execution time and thus to trade accuracy for efficiency whenever possible. At each simulation cycle, the motion levels of detail are updated and the appropriate ones are chosen adaptively to reduce computational costs. The proposed framework has been tested on the simulation of a large dynamical flocking system. The preliminary results show a significant complexity reduction without any remarkable loss in the visual appearance of the simulation, indicating the potential use of the proposed model in more realistic situations such as crowd simulation.

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Authors and Affiliations

  1. SCOMAS Lab, Department of Computer Engineering, Iran University of Science and Technology, Tehran, Iran

    Seyed Naser Razavi, Nicolas Gaud, Abderrafiâa Koukam & Nasser Mozayani

  2. Multi-Agent Systems and Applications Group, Laboratoire Systèmes et Transports, UTBM, 90010, Belfort, France

    Seyed Naser Razavi, Nicolas Gaud, Abderrafiâa Koukam & Nasser Mozayani

Authors
  1. Seyed Naser Razavi
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  2. Nicolas Gaud
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  3. Abderrafiâa Koukam
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  4. Nasser Mozayani
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Corresponding author

Correspondence to Seyed Naser Razavi.

Appendix: Numerical results

Appendix: Numerical results

Table 1 Computational results for FMM and FMM with ADS (p=10,s=100)
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Table 2 Number of agents after automatic dynamics simplification
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Razavi, S.N., Gaud, N., Koukam, A. et al. Automatic dynamics simplification in Fast Multipole Method: application to large flocking systems. J Supercomput 62, 1537–1559 (2012). https://doi.org/10.1007/s11227-012-0816-4

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  • DOI: https://doi.org/10.1007/s11227-012-0816-4

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