@Article{cmes.2011.080.141,
AUTHOR = {D.-A.  An-Vo, N.  Mai-Duy, T.  Tran-Cong},
TITLE = {High-Order Upwind Methods Based on <i>C<sup>2</sup></i>-Continuous Two-Node Integrated-RBF Elements for Viscous Flows},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {80},
YEAR = {2011},
NUMBER = {2},
PAGES = {141--178},
URL = {http://www.techscience.com/CMES/v80n2/25751},
ISSN = {1526-1506},
ABSTRACT = {In this paper, 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 incorporation of <i>C<sup>2</sup></i>-continuous 2-node IRBFEs into the subregion and point collocation frameworks for the discretisation of the stream function-vorticity formulation on Cartesian grids; and (ii) the development of high order upwind schemes based on 2-node IRBFEs for the case of convection-dominant flows. High levels of accuracy and efficiency of the present methods are demonstrated by solutions of several benchmark problems defined on rectangular and non-rectangular domains.},
DOI = {10.3970/cmes.2011.080.141}
}