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• W3186393128 endingPage "106213" @default.
• W3186393128 startingPage "106213" @default.
• W3186393128 abstract "We propose a finite element method for simulating one-dimensional solid models moving and experiencing large deformations while immersed in generalized Newtonian fluids. The method is oriented towards applications involving microscopic devices or organisms in the soft-bio-matter realm. By considering that the strain energy of the solid may explicitly depend on time, we incorporate a mechanism for active response. The solids are modeled as Cosserat rods, a detailed formulation being provided for the special case of a planar non-shearable rod. The discretization adopts one-dimensional Hermite elements for the rod and low-order Lagrange two-dimensional elements for the fluid's velocity and pressure. The fluid mesh is boundary-fitted, with remeshing at each time step. Several time marching schemes are studied, of which a semi-implicit scheme emerges as most effective. The method is demonstrated in very challenging examples: the roll-up of a rod to circular shape and later sudden release, the interaction of a soft rod with a fluid jet and the active self-locomotion of a sperm-like rod. The article includes a detailed description of a code that implements the method in the Firedrake library." @default.
• W3186393128 created "2021-08-02" @default.
• W3186393128 creator A5018666235 @default.
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• W3186393128 date "2022-05-01" @default.
• W3186393128 modified "2023-10-02" @default.
• W3186393128 title "A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids" @default.
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• W3186393128 doi "https://doi.org/10.1016/j.cnsns.2021.106213" @default.
• W3186393128 hasPublicationYear "2022" @default.
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