2021/01/22 by Meurig T. Gallagher, David J. Smith, Gallagher, Meurig +1
Engineering · Medicine · Physics and Astronomy · #Blood properties and coagulation #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Micro and Nano Robotics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2101.09286
openalex publication_date 2021/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The method of regularised stokeslets is widely used in microscale biological\nfluid dynamics due to its ease of implementation, natural treatment of complex\nmoving geometries, and removal of singular functions to integrate. The standard\nimplementation of the method is subject to high computational cost due to the\ncoupling of the linear system size to the numerical resolution required to\nresolve the rapidly-varying regularised stokeslet kernel. Here we show how\nRichardson extrapolation with coarse values of the regularisation parameter is\nideally-suited to reduce the quadrature error, hence dramatically reducing the\nstorage and solution costs without loss of accuracy. Numerical experiments on\nthe resistance and mobility problems in Stokes flow support the analysis,\nconfirming several orders of magnitude improvement in accuracy and/or\nefficiency.\n