Mai-Duy, Nam and Tran-Cong, Thanh (2010) An upwind control-volume method based on integrated RBFs for fluid-flow problems. 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 development of a high-order upwind conservative numerical method for the simulation of flows of a Newtonian fluid. The domain is discretised using a Cartesian grid from which non-overlapping rectangular control-volumes are formed. Line integrals arising from the integration of the diffusion and convection terms over control volumes are evaluated using the middle-point rule. The diffusion term is approximated using two different schemes, namely one-dimensional integrated radial basis function networks (1D- IRBFN) and central differences. The convection term is effectively treated by a high-order upwind scheme incorporating 1D-IRBFNs with the deferred-correction strategy. Several test problems governed by the Burgers and the Navier-Stokes equations are simulated, which show that the proposed technique is stable, accurate and converges well.
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|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Item Status:||Live Archive|
|Additional Information:||Author version not held.|
|Depositing User:||Prof Thanh Tran-Cong|
|Faculty / Department / School:||Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering|
|Date Deposited:||08 Sep 2010 05:05|
|Last Modified:||05 Sep 2014 06:14|
|Uncontrolled Keywords:||integrated radial basis function, control volume formulation, high order upwind scheme|
|Fields of Research (FOR2008):||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|
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