Technical note the method of fundamental solutions without fictitious boundary for solving Stokes problems

摘要

In this communication we present a simple modification of the method of fundamental solutions applied to Stokes problems, which allows to make coincident the source and collocation points. 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 easy to implement.