A multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows

Nguyen, H. Q. and Tran, C.-D. and Tran-Cong, T. (2015) A multiscale method based on the fibre configuration field, IRBF and DAVSS for the simulation of fibre suspension flows. CMES: Computer Modeling in Engineering and Science, 109 (4). pp. 361-403. ISSN 1526-1492

Abstract

In this paper, an Integrated Radial Basis Function (IRBF)-based multiscale method is used to simulate the rheological properties of dilute fibre suspensions. For the approach, a fusion of the IRBF computation scheme, the Discrete Adaptive Viscoelastic Stress Splitting (DAVSS) technique and the Fibre Configuration Field has been developed to investigate the evolution of the flow and the fibre configurations through two separate computational processes. Indeed, the flow conservation equations, which are expressed in vorticity-stream function formulation, are solved using IRBF-based numerical schemes while the evolution of fibre configuration fields governed by the Jeffery’s equation is captured using the principle of Brownian Configuration Fields. The two procedures are coupled together by the Lipscomb expression which is used to determine the fibre stress of dilute fibre suspensions. Owing to advantages of the IRBF scheme and the DAVSS technique, the present method yields a more accurate solution and faster convergence rate. The simulation method is verified and its capability is demonstrated with the fibre suspension flows through two parallel plates, a circular tube and the 4:1 and 4.5:1 axisymmetric contraction geometries which are usually chosen to test a numerical method because of the challenging nature of these problems.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2015 Tech Science Press. Permanent restricted access to published version due to publisher copyright policy.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 13 Apr 2016 04:47
Last Modified: 08 Feb 2018 00:10
Uncontrolled Keywords: fibre configuration field, integrated radial basis function, dilute fibre suspension flow, Jeffery equation, Lipscomb model, discrete adaptive viscoelastic stress splitting, multiscale simulation method
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Identification Number or DOI: 10.3970/cmes.2015.109.361
URI: http://eprints.usq.edu.au/id/eprint/29034

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