The Influence Of RBF Differentiation On The
Accuracy Of The Alternative LBIE Method For
Solving The Navier-Stokes Equations
Author(s)
E. H. Ooi & V. Popov
Abstract
In this paper, the local boundary integral equation (LBIE) method employing the
simplified approach for imposing the boundary conditions is used to solve the lid
driven cavity problem described by the velocity-vorticity formulations of the
Navier-Stokes equations. The objective of this study is to investigate how the
differentiation of the radial basis functions carried out to approximate the spatial
gradients in the simplified approach affects the accuracy of the numerical
solutions in problems where knowledge of the spatial gradients is of
significance. The numerical results were compared with benchmark solutions
and with those obtained using the radial basis integral equation method; an
integral equation based meshless method that does not involve the differentiation
of the RBF to approximate the spatial gradients.
Keywords: velocity-vorticity formulation, radial basis functions, meshless
methods, Navier-Stokes equations, integral equations.
Keywords
velocity-vorticity formulation, radial basis functions, meshless
methods, Navier-Stokes equations, integral equations
Related Book
Other papers in this volume
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