Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
762218 | Computers & Fluids | 2012 | 5 Pages |
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.
► Thanks to the modification, we make coincident the source and collocation points. ► We avoid the introduction of a fictitious boundary where source points are located. ► The introduction of a heuristic off-set between boundaries is avoided. ► We have applied the proposed modification to several 2D and 3D Stokes flows. ► Thanks to the modification, the condition number of the kernel matrix is moderate.