The Method of Fundamental Solutions without fictitious boundary for axisymmetric Stokes problems

In this paper we present a simple modification of the Method of Fundamental Solutions applied to axisymmetric Stokes problems, in which the source and collocation points are made coincident. It is based on a special treatment of the singular kernel evaluations, where spatially averaged quantities are considered by using auxiliary (or fictitious) Stokeslets. The method is still truly meshless and very easy to implement. The developed method is tested on several numerical experiments. Satisfactory results are obtained.