@Article{sl.2010.004.039,
AUTHOR = {D.-A. An-Vo, N. Mai-Duy, T. Tran-Cong},
TITLE = {Simulation of Newtonian-Fluid Flows with <i>C</i><sup>2</sup> -Continuous Two-Node Integrated-RBF Elements},
JOURNAL = {Structural Longevity},
VOLUME = {4},
YEAR = {2010},
NUMBER = {1},
PAGES = {39--45},
URL = {http://www.techscience.com/sl/v4n1/42709},
ISSN = {1944-6128},
ABSTRACT = {In this paper, the <i>C</i><sup>2</sup>
-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.},
DOI = {10.3970/sl.2010.004.039}
}