Mai-Duy, N. and Tran-Cong, T. (2011) A stable and accurate control-volume technique based on integrated radial basis function networks for fluid-flow problems. In: ACAM 6: 6th Australasian Congress on Applied Mechanics , 12-15 Dec 2010, Perth, Western Australia.
|HTML Citation||EndNote||Dublin Core||Reference Manager|
Full text available as:
|PDF (Documentation) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
Radial basis function networks (RBFNs) have been widely used in solving partial differential equations as they are able to provide fast convergence. Integrated RBFNs have the ability to avoid the problem of reduced convergence-rate caused by differentiation. This paper is concerned with the use of integrated RBFNs in the context of control-volume discretisations for the simulation of fluid-flow problems. Special attention is given to (i) the development of a stable high-order upwind scheme for the convection term and (ii) the development of a local high-order approximation scheme for the diffusion term. Benchmark problems including the lid-driven triangular-cavity flow are employed to validate the present technique. Accurate results at high values of the Reynolds number are obtained using relatively-coarse grids.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Published Version not available due to copyright policy of publisher. Paper originally presented at the 6th Australasian Congress on Applied Mechanics (ACAM6), 12-15 December 2010, Perth, Western Australia pp510-519.|
|Uncontrolled Keywords:||cartesian grid; control volume; deferred correction technique; integrated rbf; upwind scheme|
|Fields of Research (FOR2008):||01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations|
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
|Socio-Economic Objective (SEO2008):||E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering|
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
|Deposited On:||29 Jan 2012 14:42|
|Last Modified:||09 Jul 2012 15:15|
Archive Staff Only: edit this record