@Article{cmes.2005.007.185,
AUTHOR = {B. Šarler},
TITLE = {A Radial Basis Function Collocation Approach in Computational Fluid Dynamics},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {7},
YEAR = {2005},
NUMBER = {2},
PAGES = {185--194},
URL = {http://www.techscience.com/CMES/v7n2/29727},
ISSN = {1526-1506},
ABSTRACT = {This paper explores the application of the mesh-free radial basis function collocation method for solution of heat transfer and fluid flow problems. The solution procedure is represented for a Poisson reformulated general transport equation in terms of a-symmetric, symmetric and modified (double consideration of the boundary nodes) collocation approaches. In continuation, specifics of a primitive variable solution procedure for the coupled mass, momentum, and energy transport representing the natural convection in an incompressible Newtonian Bussinesq fluid are elaborated. A comparison of different collocation strategies is performed based on the two dimensional De Vahl Davis steady natural convection benchmark with Prandtl number Pr = 0.71, and Rayleigh numbers Ra = 10<sup>3</sup>, 10<sup>4</sup>, 10<sup>5</sup>, 10<sup>6</sup>. Multiquadrics radial basis functions are used. The three methods are assessed in terms of streamfunction extreme, cavity Nusselt number, and mid-plane velocity components. Best performance is achieved with the modified approach.},
DOI = {10.3970/cmes.2005.007.185}
}