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Frontiers in Mathematical Biology

Error-reducing corrections for the method of regularized Stokeslet for fluid-membrane interactions.

Hoang-Ngan Nguyen

Tulane University


We present a new high-order accuracy method for the problem of a solid object immersed in Stokes flow. The idea is to use asymptotic analysis to find the largest component of the regularization error when using the regularized Stokeslet method. Then some high-order terms are added to the largest component to make sure that the resulting velocity field is divergence free. This is not usually done by other authors.