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 \cite{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 \cite{Lions}, 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.

Bibliography

@article{1,
title={The method of regularized Stokeslets},
author={Cortez, Ricardo},
journal={SIAM Journal on Scientific Computing},
volume={23},
number={4},
pages={1204--1225},
year={2001},
publisher={SIAM}
}

@article{Lions,
title = {Résolution d'EDP par un schéma en temps «pararéel »},
journal = {Comptes Rendus de l'Académie des Sciences - Series I - Mathematics},
volume = {332},
number = {7},
pages = {661-668},
year = {2001},
issn = {0764-4442},
doi = {https://doi.org/10.1016/S0764-4442(00)01793-6},
author = {Jacques-Louis Lions and Yvon Maday and Gabriel Turinici},
}