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.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Author version not held.|
|Uncontrolled Keywords:||integrated radial basis function, control volume formulation, high order upwind scheme|
|Depositing User:||Prof Thanh Tran-Cong|
|Date Deposited:||08 Sep 2010 05:05|
|Last Modified:||03 Jul 2013 00:00|
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