European Conference on Mathematical and Theoretical Biology (ECMTB 2026)

Parallel computing methods for large-scale simulations of flagellar dynamics

MS62-20

13 Jul 2026, 17:40

20m

05.12 - HS (University of Graz)

Minisymposium Talk Miscellaneous Newtonian and non-Newtonian Biofluidmechanics: Integrating Theory, Experiments, Modeling, and Simulations

Speaker

Weifan Liu (Beijing Forestry University, China)

Description

The Method of Regularized Stokeslets (MRS) provides a robust, mesh-free framework for resolving the fluid-structure interactions of these filaments [1]. It has two critical bottlenecks: the spatial complexity of pairwise hydrodynamic calculations and the temporal stiffness arising from the material properties of the rod. To address these challenges, we first discuss a parallel-in-time approach based on the Parareal algorithm [2], in which we construct a novel coarse solver using a data-driven method based on Dynamic Mode Decomposition in place of a classic time marching scheme. Then we will present a heterogeneous CPU–GPU computing framework that synergistically addresses the challenges in space and time complexity to enable scalable, high-fidelity simulations of flagellar dynamics.

[1] R. Cortez. The method of regularized Stokeslets. SIAM Journal on Scientific Computing, 2001, 23(4): 1204-1225.
[2] J.-L. Lions, Y. Maday, G. Turinici. A parareal in time discretization of PDE’s. Comptes Rendus del’Academie des Sciences Paris Ser. I Math., 2001, 332(7): 661-668.