Efficient simulation of filament elastohydrodynamics in three dimensions

Abstract

Fluid-structure simulations of slender inextensible filaments in a viscous fluid are often plagued by numerical stiffness. Recent coarse-graining studies have reduced the computational requirements of simulating such systems, though have thus far been limited to the motion of planar filaments. In this work we extend such frameworks to filament motion in three dimensions, identifying and circumventing coordinate-system singularities introduced by filament parameterisation via repeated changes of basis. The resulting methodology enables efficient and rapid study of the motion of flexible filaments in three dimensions, and is readily extensible to a wide range of problems, including filament motion in confined geometries, large-scale active matter simulations, and the motility of mammalian spermatozoa.

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Cited by in corpus (6)

• Self-organized swimming with odd elasticity
• The 3D coarse-graining formulation of interacting elastohydrodynamic filaments and multi-body microhydrodynamics
• Well-posedness and applications of classical elastohydrodynamics for a swimming filament
• A hydrodynamic slender-body theory for local rotation at zero Reynolds number
• Regularised non-uniform segments and efficient no-slip elastohydrodynamics
• Instability and self-propulsion of flexible autophoretic filaments