Ho-Minh, D. and Mai-Duy, Nam and Tran-Cong, Thanh (2010) A cartesian-grid integrated-RBF method for viscoelastic flows. In: 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010), 19-23 July 2010, Sydney, Australia.
[Abstract]: This paper is concerned with the use of integrated radial-basis-function networks (IRBFNs), Cartesian-grids and point collocation for numerically solving 2D flows of viscoelastic fluids. In the proposed method, RBFNs, which are constructed through integration, are employed to approximate the field variables including stresses, and the governing equations are discretised by means of point collocation. Advantages gained from the integration process over differentiated RBFNs process are (i) better accuracy (ii) more straightforward implementation of boundary conditions and (iii) more stable solutions. The method is verified through several test problems, e.g. planar Poiseuille flow and fully-developed flow in a square duct, with different types of viscoelastic fluids, namely Oldroyd-B and CEF. The obtained results show that (i) The proposed method is easy to implement; (ii) Its pre-processing is simple and (iii) Accurate results are obtained using relatively-coarse grids.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Author version not held.|
|Uncontrolled Keywords:||integrated radial basis function, Cartesian grid, viscoelastic flows|
|Depositing User:||Prof Thanh Tran-Cong|
|Date Deposited:||08 Sep 2010 04:47|
|Last Modified:||11 Oct 2013 06:11|
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