Open Access

ARTICLE

Simulation of Newtonian-Fluid Flows with C² -Continuous Two-Node Integrated-RBF Elements

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1 Computational Engineering and Science Research Centre, Faculty of Engineering and Surveying, The University of Southern Queensland, Toowoomba, QLD, 4350, Australia

Structural Longevity 2010, 4(1), 39-45. https://doi.org/10.3970/sl.2010.004.039

Abstract

In this paper, the C² -continuous control-volume method based on 2-node integrated radial basis function elements (IRBFEs) [CMES, vol.72, no.4, pp.299-334, 2011] are further developed for the simulation of incompressible viscous flows in two dimensions. Emphasis is placed on (i) the 2-node IRBFE discretisation of the stream function-vorticity formulation on Cartesian grids; and (ii) the development of a high order upwind scheme based on 2-node IRBFEs for the case of simulating convection-dominant flows. High levels of accuracy and efficiency of the present method are demonstrated by solving the lid-driven cavity problem.

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