IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/139583.html
   My bibliography  Save this article

A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition

Author

Listed:
  • Mitsuteru Asai
  • Abdelraheem M. Aly
  • Yoshimi Sonoda
  • Yuzuru Sakai

Abstract

A stabilized Incompressible Smoothed Particle Hydrodynamics (ISPH) is proposed to simulate free surface flow problems. In the ISPH, pressure is evaluated by solving pressure Poisson equation using a semi-implicit algorithm based on the projection method. Even if the pressure is evaluated implicitly, the unrealistic pressure fluctuations cannot be eliminated. In order to overcome this problem, there are several improvements. One is small compressibility approach, and the other is introduction of two kinds of pressure Poisson equation related to velocity divergence-free and density invariance conditions, respectively. In this paper, a stabilized formulation, which was originally proposed in the framework of Moving Particle Semi-implicit (MPS) method, is applied to ISPH in order to relax the density invariance condition. This formulation leads to a new pressure Poisson equation with a relaxation coefficient, which can be estimated by a preanalysis calculation. The efficiency of the proposed formulation is tested by a couple of numerical examples of dam-breaking problem, and its effects are discussed by using several resolution models with different particle initial distances. Also, the effect of eddy viscosity is briefly discussed in this paper.

Suggested Citation

  • Mitsuteru Asai & Abdelraheem M. Aly & Yoshimi Sonoda & Yuzuru Sakai, 2012. "A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-24, May.
    • Handle: RePEc:hin:jnljam:139583
    DOI: 10.1155/2012/139583
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/139583.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/139583.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/139583?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Aly, Abdelraheem M. & Raizah, Z.A.S., 2020. "Incompressible smoothed particle hydrodynamics simulation of natural convection in a nanofluid-filled complex wavy porous cavity with inner solid particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnljam:139583. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.