An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows
Article
Article Title | An integrated RBFN-based macro-micro multi-scale method for computation of visco-elastic fluid flows |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Tran, C.-D. (Author), An-Vo, D.-A. (Author), Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 82 (2), pp. 137-162 |
Number of Pages | 26 |
Year | 2011 |
Place of Publication | United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2011.082.137 |
Web Address (URL) | https://www.techscience.com/CMES/v82n2/25775 |
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. |
Keywords | integrated radial basis function networks; macro-micromulti-scale method; stochastic simulations; Brownian configuration fields; viscoelastic fluid |
ANZSRC Field of Research 2020 | 490510. Stochastic analysis and modelling |
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
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/q13v9/an-integrated-rbfn-based-macro-micro-multi-scale-method-for-computation-of-visco-elastic-fluid-flows
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