A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows

Tran, C.-D. and Mai-Duy, N. and Le-Cao, K. and Tran-Cong, T. (2012) A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows. CMES: Computer Modeling in Engineering and Sciences, 85 (6). pp. 499-519. ISSN 1526-1492

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Abstract

A numerical computation of continuum-microscopic model for visco-elastic flows based on the Integrated Radial Basis Function (IRBF) Control Volume and the Stochastic Simulation Techniques (SST) is reported in this paper. The macroscopic flow equations are closed by a stochastic equation for the extra stress at the microscopic level. The former are discretised by a 1D-IRBF-CV method while the latter is integrated with Euler explicit or Predictor-Corrector schemes. Modelling is very efficient as it is based on Cartesian grid, while the integrated RBF approach enhances both the stability of the procedure and the accuracy of the solution. The proposed method is demonstrated with the solution of the start-up Couette flow of the Hookean and FENE dumbbell model fluids.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Authors' Submitted Version deposited. Copyright © 2012 Tech Science Press. Permanent restricted access to Published Version of paper due to publisher copyright policy.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 23 Feb 2013 02:07
Last Modified: 19 Aug 2014 02:35
Uncontrolled Keywords: stochastic simulation techniques; Brownian configuration fields; integrated radial basis functions; control volume; viscoelastic fluid flow; continuum-microscopic method
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
01 Mathematical Sciences > 0104 Statistics > 010406 Stochastic Analysis and Modelling
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
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.3970/cmes.2012.085.499
URI: http://eprints.usq.edu.au/id/eprint/22925

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