An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows

Xiaoxing Liu, Koji Morita, Shuai Zhang

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

An advanced moving particle semi-implicit (MPS) method for the simulation of incompressible flows that provides enhanced accuracy and stability is proposed. Up to now, existing high-order accurate MPS pressure gradient schemes suffer from instability produced by attractive pressure gradient while some stabilized pressure gradient schemes have the shortcomings of large discretization error. We propose a high-order stabilized gradient model in which first-order Taylor-series consistency is ensured and stability is guaranteed by purely repulsive pressure gradient. Laplacian model and divergence model are modified and enable accurate and stable solution for the pressure Poisson equation (PPE). The proposed MPS scheme provides a more accurate and stable simulation of incompressible flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.

Original languageEnglish
Pages (from-to)467-487
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Volume339
DOIs
Publication statusPublished - Sep 1 2018

Fingerprint

incompressible flow
Incompressible flow
Pressure gradient
pressure gradients
simulation
Taylor series
Poisson equation
divergence
gradients
Computer simulation

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows. / Liu, Xiaoxing; Morita, Koji; Zhang, Shuai.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 339, 01.09.2018, p. 467-487.

Research output: Contribution to journalArticle

@article{8ce3d478cec04136aefd6d2e6199d185,
title = "An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows",
abstract = "An advanced moving particle semi-implicit (MPS) method for the simulation of incompressible flows that provides enhanced accuracy and stability is proposed. Up to now, existing high-order accurate MPS pressure gradient schemes suffer from instability produced by attractive pressure gradient while some stabilized pressure gradient schemes have the shortcomings of large discretization error. We propose a high-order stabilized gradient model in which first-order Taylor-series consistency is ensured and stability is guaranteed by purely repulsive pressure gradient. Laplacian model and divergence model are modified and enable accurate and stable solution for the pressure Poisson equation (PPE). The proposed MPS scheme provides a more accurate and stable simulation of incompressible flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.",
author = "Xiaoxing Liu and Koji Morita and Shuai Zhang",
year = "2018",
month = "9",
day = "1",
doi = "10.1016/j.cma.2018.05.005",
language = "English",
volume = "339",
pages = "467--487",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",

}

TY - JOUR

T1 - An advanced moving particle semi-implicit method for accurate and stable simulation of incompressible flows

AU - Liu, Xiaoxing

AU - Morita, Koji

AU - Zhang, Shuai

PY - 2018/9/1

Y1 - 2018/9/1

N2 - An advanced moving particle semi-implicit (MPS) method for the simulation of incompressible flows that provides enhanced accuracy and stability is proposed. Up to now, existing high-order accurate MPS pressure gradient schemes suffer from instability produced by attractive pressure gradient while some stabilized pressure gradient schemes have the shortcomings of large discretization error. We propose a high-order stabilized gradient model in which first-order Taylor-series consistency is ensured and stability is guaranteed by purely repulsive pressure gradient. Laplacian model and divergence model are modified and enable accurate and stable solution for the pressure Poisson equation (PPE). The proposed MPS scheme provides a more accurate and stable simulation of incompressible flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.

AB - An advanced moving particle semi-implicit (MPS) method for the simulation of incompressible flows that provides enhanced accuracy and stability is proposed. Up to now, existing high-order accurate MPS pressure gradient schemes suffer from instability produced by attractive pressure gradient while some stabilized pressure gradient schemes have the shortcomings of large discretization error. We propose a high-order stabilized gradient model in which first-order Taylor-series consistency is ensured and stability is guaranteed by purely repulsive pressure gradient. Laplacian model and divergence model are modified and enable accurate and stable solution for the pressure Poisson equation (PPE). The proposed MPS scheme provides a more accurate and stable simulation of incompressible flows. Several two-dimensional numerical simulations are presented to demonstrate the enhanced performance of the proposed MPS method.

UR - http://www.scopus.com/inward/record.url?scp=85048504020&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85048504020&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2018.05.005

DO - 10.1016/j.cma.2018.05.005

M3 - Article

AN - SCOPUS:85048504020

VL - 339

SP - 467

EP - 487

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

ER -