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

机译:轴对称斯托克斯问题无虚拟边界的基本解法

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摘要

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.
机译:在本文中,我们提出了一种简单的修改方法,该方法适用于轴对称Stokes问题,其中使源点和搭配点重合。它基于对奇异核评估的特殊处理,其中通过使用辅助(或虚拟)Stokeslet考虑空间平均数量。该方法仍然是真正无网格的,并且非常易于实现。所开发的方法在几个数值实验上进行了测试。获得令人满意的结果。

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