Dissipative particle dynamics modeling of low Reynolds number incompressible flows

Mai-Duy, N. and Pan, D. and Phan-Thien, N. and Khoo, B. C. (2013) Dissipative particle dynamics modeling of low Reynolds number incompressible flows. Journal of Rheology, 57 (2). pp. 585-604. ISSN 0148-6055

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Abstract

This paper is concerned with the numerical modeling of a slow (creeping) flow using a particle-based simulation technique, known as dissipative particle dynamics (DPD), in which the particles' mass is allowed to approach zero to simultaneously achieve a high sonic speed, a low Reynolds number, and a high Schmidt number. This leads to a system of stiff stochastic differential equations, which are solved efficiently by an exponential time differencing (ETD) scheme. The ETD-DPD method is first tested in viscometric flows, where the particle mass is reduced down to 0.001. The method is then applied for the modeling of rigid spheres in a Newtonian fluid by means of two species of DPD particles, one representing the solvent particles and the other, the suspended particle. Calculations are carried out at particle mass of 0.01, with corresponding Mach number of 0.08, Reynolds number of 0.05, and Schmidt number of 6.0 × 103. Stokes results are used to determine the DPD parameters for the solvent-sphere interaction forces. The method obeys equipartition and yields smooth flows around the sphere with quite uniform far-field velocities.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2013 The Society of Rheology. Published version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Electrical, Electronic and Computer Engineering
Date Deposited: 21 May 2014 03:00
Last Modified: 17 Jul 2014 05:20
Uncontrolled Keywords: dissipative particle dynamics; equipartition; exponential time differencing; far-field velocity; high Schmidt numbers; interaction forces; low Reynolds number; Newtonian fluids; particle mass; particle-based simulation; rigid sphere; Schmidt numbers; solvent particles; sonic speed; stochastic differential equations; suspended particles; viscometric flows
Fields of Research : 01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling
09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.1122/1.4789444
URI: http://eprints.usq.edu.au/id/eprint/25221

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