An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows

Tran, C.-D. and An-Vo, D.-A. and Mai-Duy, N. and Tran-Cong, T. (2011) An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows. CMES: Computer Modeling in Engineering and Sciences, 82 (2). pp. 137-162. ISSN 1526-1492

[img]
Preview
PDF (Accepted Version)
Tran_An-Vo_Mai_Duy_Tran-Cong_CMES_2011a_AV.pdf

Download (191Kb)

Abstract

This paper presents a numerical approach for macro-micro multi-scale modelling of visco-elastic fluid flows based on the Integrated Radial Basis Function Networks (IRBFNs) and the Stochastic Simulation Technique (SST). The extra stress is calculated using the Brownian configuration fields (BCFs) technique while the velocity field is locally approximated at a set of collocation points using 1D-IRBFNs. In this approach, the stress is decoupled from the velocity field and computed from the molecular configuration directly without the need for a closed form rheological constitutive equation. The equations governing the macro flow field are discretised using a meshless collocation method where the IRBFN approximants improve the accuracy of the numerical solutions by avoiding the deterioration of accuracy caused by differentiation. As an illustration of the method, the time evolution of the planar Couette flow and the steady state Poiseuille flow are studied for two molecular kinetic models: the Hookean dumbbell and FENE dumbbell models.


Statistics for USQ ePrint 20987
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Authors' Accepted Version deposited.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 16 Apr 2012 07:15
Last Modified: 03 Jul 2013 01:07
Uncontrolled Keywords: Integrated radial basis function networks, macro-micro multi-scale method, stochastic simulations, Brownian configuration fields, viscoelastic fluid
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: doi: 10.3970/cmes.2011.082.137
URI: http://eprints.usq.edu.au/id/eprint/20987

Actions (login required)

View Item Archive Repository Staff Only