An immersed boundary model of magnetically driven flexible filaments with lattice Boltzmann hydrodynamics

R. Livanoviċs

MMML Laboratory, Faculty of Physics and Mathematics, University of Latvia, 3 Jelgavas str.3, Riga LV-1004, Latvia

Abstract
Magnetically driven elastic filaments have been considered for many applications in soft matter physics. In order to guide the creation of such systems, an accurate account of complex hydrodynamic flows generated by deforming filaments is crucial. A numerical model for elastic filaments is described based on coupling a description of the internal dynamics of the filament with a fully resolved hydrodynamic solver. The coupling is based on the immersed boundary method, and a lattice Boltzmann approach is used to solve the Navier-Stokes equations. The method is validated against standard benchmark cases and its further prospective applications are discussed. Tables 1, Figs 9, Refs 31.