Mai-Duy, N. 
ORCID: https://orcid.org/0000-0003-3191-7850 and Phan-Thien, N. and Khoo, B. C.
(2013)
A numerical study of strongly overdamped dissipative particle dynamics (DPD) systems.
Journal of Computational Physics, 245.
pp. 150-159.
ISSN 0021-9991
Abstract
In this paper, we investigate the behaviour of a Dissipative Particle Dynamics (DPD) system in the overdamped limit where the particles approach zero mass limit. In this limit, the DPD system becomes singular. We propose two numerical schemes to deal with this system - one results in a fully-populated but well-conditioned matrix system, while the other employs a deflation technique to handle the system in an iterative manner, where the eigenvalue of -1 corresponding to a rigid-body motion is mapped to zero. The latter iterative scheme is to be preferred, with the possibility of parallel implementations. Some numerical results are presented to verify the two proposed schemes.
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| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | © 2013 Elsevier Inc. Published version deposited in accordance with the copyright policy of the publisher. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| Date Deposited: | 19 May 2013 23:20 |
| Last Modified: | 11 Jul 2014 05:21 |
| Uncontrolled Keywords: | deflation; dissipative particle dynamics; overdamped limit; singular matrix; zero-mass system |
| Fields of Research (2008): | 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 02 Physical Sciences > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020203 Particle Physics 01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications |
| Fields of Research (2020): | 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) 51 PHYSICAL SCIENCES > 5107 Particle and high energy physics > 510703 Particle physics 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490105 Dynamical systems in applications |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering |
| Identification Number or DOI: | https://doi.org/10.1016/j.jcp.2013.03.013 |
| URI: | http://eprints.usq.edu.au/id/eprint/23510 |
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