Some Consideration on Derivative Approximation of Particle Methods

  • Hitoshi Matsubara
  • Shigeo Iraha
  • Genki Yagawa
  • Doosam Song
Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 25)


In this paper, the accuracy of the derivative approximation of the particle methods is discussed. Especially, we show that the issue of decreasing accuracy on a boundary area in the SPH method is due to the lack of the boundary integration. Through some numerical examples, the convergence of error norm of energy obtained by the SPH and the MPS methods is studied.


Computational Fluid Dynamics Boundary Area Boundary Integration Smooth Particle Hydrodynamic Particle Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Hitoshi Matsubara
    • 1
  • Shigeo Iraha
    • 1
  • Genki Yagawa
    • 2
  • Doosam Song
    • 3
  1. 1.Department of Civil Engineering and ArchtectureUniversity of the RyukyusNishiharaJapan
  2. 2.Center for Computational Mechanics ResearchTokyo UniversityTokyoJapan
  3. 3.School of ArchitectureSungkyunkwan UniversitySuwonKorea

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