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The physics of regularized Stokeslets

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If you have a question about this talk, please contact Ferdia Sherry.

Green’s functions (also called fundamental solutions) can be used to construct solutions to several differential equations arising in physics. These solutions, however, cannot be easily implemented on a computer due to the divergence of Green’s functions. One popular way to overcome this difficulty is to remove the singularities in Green’s functions, a process known as regularization or mollification. The amount of regularization is often controlled by a parameter, called the regularization parameter. The significance of the parameter and the physical change to the Green’s function are often not well understood. Nevertheless, they are essential to a good understanding of the error introduced in the regularization process. In this talk, I will discuss a specific Green’s function in fluid mechanics – the Stokeslet. Its regularized versions, called regularized Stokeslets, have been extensively used in many flow problems since the early 2000s. I will elucidate the physical significance of regularized Stokeslets for various regularization schemes. If time permits, I will explain the implication for computation.

This talk is part of the SIAM-IMA Cambridge Student Chapter series.

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