@Article{icces.2011.016.087,
AUTHOR = {D.-A. An-Vo, N. Mai-Duy, T. Tran-Cong},
TITLE = {IRBFEs for the numerical solution of steady incompressible flows},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {16},
YEAR = {2011},
NUMBER = {3},
PAGES = {87--88},
URL = {http://www.techscience.com/icces/v16n3/32649},
ISSN = {1933-2815},
ABSTRACT = {In this paper, we develop a control-volume technique based on 2-node integrated-radial-basis-function elements (IRBFEs) for the numerical solution of steady incompressible flows governed by the stream function-vorticity formulation. The fluid domain is discretised by a Cartesian grid from which non-overlapping rectangular control- volumes are formed. Line integrals arising from the integration of the diffusion and convection terms over control volumes are evaluated using the middle-point rule. The convection term is effectively treated by the upwind scheme with deferred correction strategy. Instead of using conventional low-order polynomials, all physical quantities at the interfaces are presently estimated by means of 2-node IRBFEs. Attractive features of the proposed technique include (i) the solution is C2-continuous across the elements and (ii) a wide range of the RBF shape parameter can be used. Numerical results are presented for several two-dimensional benchmark problems defined on rectangular and non-rectangular domains.},
DOI = {10.3970/icces.2011.016.087}
}