Development of the higher-order MPS method using the Taylor Expansion

Tasuku Tamai*, Kazuya Shibata, Seiichi Koshizuka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


As a Lagrangian meshfree method, the MPS(Moving Particle Semi-implicit) method has been shown useful in engineering applications widely. In this paper, by using the Taylor series expansion, generalized schemes for any order spatial derivatives with higher order consistency, convergence, and completeness conditions are developed. Applying new schemes for numerical tests, calculating first and second derivatives of linear and non-linear functions, demonstrates higher order convergence regardless of whether particles are distributed regularly or randomly spread involving domain boundaries. Furthermore, application of new spatial derivative schemes enhances computational accuracy and stability for numerical analysis of incompressible flow with the free surface.

Original languageEnglish
JournalTransactions of the Japan Society for Computational Engineering and Science
Publication statusPublished - 2013
Externally publishedYes


  • Accuracy
  • Completeness
  • Consistency
  • Convergence
  • Higher order scheme
  • Lagrangian method
  • MPS method
  • Particle method
  • Stability

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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