Exponential-time differencing schemes for low-mass DPD systems

Phan-Thien, N. and Mai-Duy, N. and Pan, D. and Khoo, B.C. (2014) Exponential-time differencing schemes for low-mass DPD systems. Computer Physics Communications, 185 (1). pp. 229-235. ISSN 0010-4655

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Abstract

Several exponential-time differencing (ETD) schemes are introduced into the method of dissipative particle dynamics (DPD) to solve the resulting stiff stochastic differential equations in the limit of small mass, where emphasis
is placed on the handling of the fluctuating terms (i.e.,
those involving the random forces). Their performances are
investigated numerically in some test viscometric flows. Results obtained show that the present schemes outperform the velocity-Verlet algorithm regarding both the satisfaction of equipartition and the maximum allowable time step.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted 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: 03 Dec 2014 04:53
Last Modified: 23 Jan 2018 06:06
Uncontrolled Keywords: exponential-time differencing scheme, dissipative particle dynamics, stiff stochastic differential equation, overdamped systems
Fields of Research : 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.cpc.2013.09.022
URI: http://eprints.usq.edu.au/id/eprint/26364

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