Simulation of Newtonian-Fluid Flows with C2 -Continuous Two-Node Integrated-RBF Elements
D.-A. An-Vo1, N. Mai-Duy1, T. Tran-Cong1
Structural Longevity, Vol.4, No.1, pp. 39-45, 2010, DOI: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. More >