TY  - EJOU
AU  - An-Vo, D.-A.  
AU  - Mai-Duy, N.  
AU  - Tran-Cong, T.  

TI  - High-Order Upwind Methods Based on <i>C<sup>2</sup></i>-Continuous Two-Node Integrated-RBF Elements for Viscous Flows
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2011
VL  - 80
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - integrated-radial-basis-function elements
KW  -  Cartesian grid
KW  -  control volume
KW  -  subregion collocation
KW  -  point collocation
KW  -  local approximation
KW  -  upwind scheme

DO  - 10.3970/cmes.2011.080.141