An ALE pairwise-relaxing meshless method for compressible flows

Xiaoxing Liu, Koji Morita, Shuai Zhang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we present a pairwise-relaxing meshless (PRM) method for solving the Euler equations of compressible flows within the Arbitrary Lagrangian Eulerian (ALE) framework. Derived from the moving particle semi-implicit (MPS) method and the finite volume particle (FVP) method, the PRM approximates the derivatives from the value defined at the midpoint of each interacting particle pairs through a kernel-based formulation. Pairwise-relaxing constants are introduced to the kernels to provide degree of freedom to enforce the Taylor-series consistency condition while mass, momentum and energy are conserved exactly. An upwind high-order reconstruction scheme via a corrective procedure and variable cut-off radius is also developed for this PRM method. The HLLC approximate Riemann solver is adopted to solve Riemann problem. One and two-dimensional numerical tests are presented to demonstrate the performance of the PRM method.

Original languageEnglish
Pages (from-to)1-13
Number of pages13
JournalJournal of Computational Physics
Volume387
DOIs
Publication statusPublished - Jun 15 2019

Fingerprint

meshfree methods
compressible flow
Taylor series
Compressible flow
Euler equations
Momentum
Derivatives
Cauchy problem
cut-off
degrees of freedom
momentum
formulations
radii
energy

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Cite this

An ALE pairwise-relaxing meshless method for compressible flows. / Liu, Xiaoxing; Morita, Koji; Zhang, Shuai.

In: Journal of Computational Physics, Vol. 387, 15.06.2019, p. 1-13.

Research output: Contribution to journalArticle

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