Least squares moving particle semi-implicit method: An arbitrary high order accurate meshfree Lagrangian approach for incompressible flow with free surfaces

Tasuku Tamai, Seiichi Koshizuka

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

In this paper, a consistent meshfree Lagrangian approach for numerical analysis of incompressible flow with free surfaces, named least squares moving particle semi-implicit (LSMPS) method, is developed. The present methodology includes arbitrary high-order accurate meshfree spatial discretization schemes, consistent time integration schemes, and generalized treatment of boundary conditions. LSMPS method can resolve the existing major issues of widely used strong-form particle method for incompressible flow—particularly, the lack of consistency condition for spatial discretization schemes, difficulty in enforcing consistent Neumann boundary conditions, and serious instability like unphysical pressure oscillation. Applications of the present proposal demonstrate remarkable enhancements of stability and accuracy.

Original languageEnglish
Pages (from-to)277-305
Number of pages29
JournalComputational Particle Mechanics
Volume1
Issue number3
DOIs
Publication statusPublished - 2014 Sep 1

Keywords

  • High order scheme
  • LSMPS method
  • Least squares moving particle semi-implicit method
  • Meshfree compact scheme
  • Moving particle semi-implicit method

ASJC Scopus subject areas

  • Computational Mechanics
  • Civil and Structural Engineering
  • Numerical Analysis
  • Modelling and Simulation
  • Fluid Flow and Transfer Processes
  • Computational Mathematics

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