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math.AP2019★ 8 cited
An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow
Yoichiro Mori, Laurel Ohm
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…
math.AP2019★ 17 cited
Theoretical justification and error analysis for slender body theory with free ends
Yoichiro Mori, Laurel Ohm, Daniel Spirn
Slender body theory is a commonly used approximation in computational models of thin fibers in viscous fluids, especially in simulating the motion of cilia or flagella in swimming…