Development of least squares moving particle semi-implicit method

Tasuku Tamai, Kazuya Shibata, Seiichi Koshizuka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, with focusing particular attention on a major issue - the lack of consistency conditions on the spatial discretization schemes of the existing MPS method, we develop a new meshfree particle method named Least Squares Moving Particle Semi-implicit/Simulation (LSMPS) method. The new schemes have arbitraly higher order consistency conditions, make treatment of boundary conditions exceedingly easy, and can be applied for both Eulerian and Lagrangian framework. Moreover, applications of the new schemes for numerical analysis of incompressible flows with the free surfaces result in enhancement of numerical accuracy and stability.

Original languageEnglish
Title of host publicationParticle-Based Methods III
Subtitle of host publicationFundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013
Pages840-851
Number of pages12
Publication statusPublished - 2013
Externally publishedYes
Event3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013 - Stuttgart, Germany
Duration: 2013 Sep 182013 Sep 20

Publication series

NameParticle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013

Conference

Conference3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013
CountryGermany
CityStuttgart
Period13/9/1813/9/20

Keywords

  • High order schemes
  • Least squares moving particle semi-implicit method
  • Least squares moving particle simulation method
  • Lsmps method
  • Moving particle semi-implicit method mps method

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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  • Cite this

    Tamai, T., Shibata, K., & Koshizuka, S. (2013). Development of least squares moving particle semi-implicit method. In Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013 (pp. 840-851). (Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013).