Article ID Journal Published Year Pages File Type
762218 Computers & Fluids 2012 5 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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