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arXiv · 1904.07756

An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow

Yoichiro Mori·Laurel Ohm
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Abstract

We investigate the motion of a thin rigid body in Stokes flow and the corresponding slender body approximation used to model sedimenting fibers. In particular, we derive a rigorous error bound comparing the rigid slender body approximation to the classical PDE for rigid motion in the case of a closed loop with constant radius. Our main tool is the slender body PDE framework established by the authors and D. Spirn in [18,19], which we adapt to the rigid setting.

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Yoichiro Mori, Laurel Ohm. 2019-04-16. An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow. https://doi.org/10.1007/s40687-020-00206-7

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