This supplemental material to the paper [1] provides the initial positions of the elastic filament in the shear flow v0 = γyex. The fiber is modeled as a chain of beads. Therefore, here we show the initial positions of the centers of all the beads used in the numerical simulations presented in Fig. 8 of Ref. [1]. The numerical results were obtained through the accurate HYDROMULTIPOLE codes described in [2, 3]. Details of the bead model representing this filament are covered in Appendix C of the main text of [1]. We applied the same initial conditions to all values of the bending stiffness ratio A ∈ [20, 1000]. We performed simulations for two different initial conditions. Each of them consists of a small perturbation of the initially straight fiber, oriented at θ0= 90◦ and φ0= 160◦, within the shear plane, in the compressional range of the shear flow. Each of these perturbations has a specified parity (odd or even) and is obtained in line with Appendix C of [1]. Table 1 displays the odd initial conditions, while Table 2 presents the even ones.
References
[1] Paweł Sznajder, Piotr Zdybel, Lujia Liu, and Maria L. Ekiel-Jeżewska. Scaling law for a buckled elastic filament in a shear flow. arXiv:2307.07215, 2024.
[2] B. Cichocki, M. L. Ekiel-Jeżewska, and E. Wajnryb. Lubrication corrections for three-particle contribution to short-time self-diffusion coefficients in colloidal dispersions. J. Chem. Phys.,111(7):3265–3273, 1999.
[3] M. L. Ekiel-Jeżewska and E. Wajnryb.Precise multipole method for calculating hydrodynamic interactions between spherical particles in the Stokes flow. In F. Feuillebois and A. Sellier, editors, In Theoretical Methods for Micro Scale Viscous Flows, pages 127–172. Transworld Research Network, Kerala, 2009.
(2024-03-14)
