The method of regularized Stokeslets in three dimensions : Analysis, validation, and application to helical swimming

By R. Cortez, Lisa J. Fauci, A. Medovikov. 2005

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Physics of microswimmers—single particle motion and collective behavior: a review (2014, methodology): “The data compare very well with the slender body theories by Lighthill (1976) and Johnson (1980), respectively, and the regularized Stokeslet approach by Cortez et al. (2005).”
Human sperm accumulation near surfaces: a simulation study (2009, methodology): “by Katz and co-workers in the 1980s to investigate the forces, torques and power consumption associated with sperm in a variety of physiological situations (see for example Dresdner & Katz 1981; Baltz, Katz & Cone 1988; Drobnis et al. 1988). More recently Fulford et al. (1998) used the technique to ”
Fluid dynamics of self-propelled microorganisms, from individuals to concentrated populations (2007, methodology): “For example, given a force Fk/(x) centered at xk and using the regularizing function /ðxÞ ¼ 15e 4 8pðjxj2 þ e2Þ7=2 ; ð12Þ the resulting velocity is uðxÞ ¼ 1 8pl gk ðjx xkj2 þ e2Þ3=2 ; ð13Þ where gk ¼ ½jx xkj2 þ 2e2 Fk þ ½Fk ðx xkÞ ðx xkÞ: ð14Þ This is called a Regularized Stokeslet (Cortez 2001; Cor”
Hydrodynamic propulsion of human sperm (2009, methodology): “For example, see Dresdner et al. (1980) where the near field of the flagellum was modelled by stokeslets and stokes doublets but the far-field by stokeslets alone.”