A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows
Article
Article Title | A continuum-microscopic method based on IRBFs and control volume scheme for viscoelastic fluid flows |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Tran, C.-D. (Author), Mai-Duy, N. (Author), Le-Cao, K. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 85 (6), pp. 499-519 |
Number of Pages | 21 |
Year | 2012 |
Place of Publication | United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2012.085.499 |
Web Address (URL) | https://www.techscience.com/CMES/v85n6/25851 |
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. |
Keywords | stochastic simulation techniques; Brownian configuration fields; integrated radial basis functions; control volume; viscoelastic fluid flow; continuum-microscopic method |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490510. Stochastic analysis and modelling | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1w62/a-continuum-microscopic-method-based-on-irbfs-and-control-volume-scheme-for-viscoelastic-fluid-flows
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