An efficient scheme for solving steady incompressible Navier-Stokes equations
Journal of Computational Physics
Multiquadric collocation method with integralformulation for boundary layer problems
Computers & Mathematics with Applications
Integrated multiquadric radial basis function approximation methods
Computers & Mathematics with Applications
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This paper presents a radial-basis-function (RBF) collocation method for the simulation of two-dimensional fluid-flow problems. To improve the stability of a discrete solution and the quality of derivative approximations, the present RBF networks (RBFNs) are constructed through integration instead of conventional differentiation. Special attention is given to the following two topics: (i) the effective use of integration constants in the solution of the Navier-Stokes equations and (ii) the employment of ''local'' integrated RBFNs to handle flows with fine structures. Different types of geometries and fluids are considered. The accuracy of the present technique is demonstrated through the solution of several benchmark test problems.