A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition
Joint Authors
Asai, Mitsuteru
Aly, Abdelraheem M.
Sonoda, Yoshimi
Sakai, Yuzuru
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-28
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Asai, Mitsuteru& Aly, Abdelraheem M.& Sonoda, Yoshimi& Sakai, Yuzuru. 2012. A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-992971
Modern Language Association (MLA)
Asai, Mitsuteru…[et al.]. A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition. Journal of Applied Mathematics No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-992971
American Medical Association (AMA)
Asai, Mitsuteru& Aly, Abdelraheem M.& Sonoda, Yoshimi& Sakai, Yuzuru. A Stabilized Incompressible SPH Method by Relaxing the Density Invariance Condition. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-992971
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992971