BEM-RBF approach for viscoelastic flow analysis
Paper
Paper/Presentation Title | BEM-RBF approach for viscoelastic flow analysis |
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Presentation Type | Paper |
Authors | Tran-Cong, T. (Author), Mai-Duy, N. (Author) and Phan-Thien, N. (Author) |
Editors | Beskos, D., Brebbia, C., Katsikadelis, J. and Manolis, G. |
Journal or Proceedings Title | Advances in Boundary Elements |
Journal Citation | 10, pp. 329-338 |
Number of Pages | 10 |
Year | 2001 |
Place of Publication | Southampton, Hants. United Kingdom |
ISBN | 9781853128639 |
Digital Object Identifier (DOI) | https://doi.org/10.2495/BE010301 |
Web Address (URL) of Paper | http://library.witpress.com/pages/PaperInfo.asp?PaperID=2830 |
Conference/Event | 23rd International Conference on the Boundary Element Method (BEM 2001) |
Event Details | 23rd International Conference on the Boundary Element Method (BEM 2001) Event Date 07 to end of 09 May 2001 Event Location Lemnos, Greece |
Abstract | A new BE-only method is achieved for the numerical solution of viscoelastic flows. A decoupled algorithm is chosen where the fluid is considered as being composed of an artificial Newtonian component and the remaining component is accordingly defined from the original constitutive equation. As a result the problem is viewed as that of solving for the flow of a Newtonian liquid with the non-linear viscoelastic effects acting as a pseudo body force. Thus the general solution is obtained by adding a particular solution to the homogeneous one. The former is obtained by a BEM for the base Newtonian fluid and the latter is obtained analytically by approximating the pseudo body force in terms of suitable radial basis functions (RBFs). Embedded in the approximation of the pseudo body force is the calculation of the polymer stress. This is achieved by solving the constitutive equation using RBF networks (RBFNs). Both the calculations of the particular solution and the polymer stress are therefore meshless and the resultant BEM-RBF method is a BE-only method. The complete elimination of any structured domain discretisation is demonstrated with a number of flow problems involving the Upper Convected Maxwell (UCM) and the Oldroyd-B fluids. |
Keywords | BEM-PS-RBFN formulation; derivative approximation; function approximation; particular solution; viscoelastic flow |
ANZSRC Field of Research 2020 | 401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) |
490101. Approximation theory and asymptotic methods | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Faculty of Engineering and Surveying |
University of Sydney | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q048v/bem-rbf-approach-for-viscoelastic-flow-analysis
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