A numerical study of strongly overdamped dissipative particle dynamics (DPD) systems

Mai-Duy, N. 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 / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
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 : 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
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.1016/j.jcp.2013.03.013
URI: http://eprints.usq.edu.au/id/eprint/23510

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