Parallel-in-time simulation of biofluids

Weifan Liu, Minghao W. Rostami

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We extend Parareal, a parallel-in-time method that alternates between a serial sweep and a parallel sweep, to simulate the fluid flow around bio-inspired, dynamic structures over a period of time. Our main contributions include demonstrating the applicability of Parareal to the simulation of biofluids and developing novel solvers for the serial sweeps of Parareal. We propose to construct non-intrusive solvers by extrapolating a parametrized family of existing solvers. Compared to the existing solvers, they either allow the use of larger time steps, have a higher order of accuracy in time, or both. They are also straightforward to implement and parallelize. Numerical results show that when the number of biological structures is small or the number of computer cores employed is sufficiently large, the proposed variant of Parareal can achieve a significantly higher parallel speedup than the more commonly used spatial parallelization.

Original languageEnglish (US)
Article number111366
JournalJournal of Computational Physics
StatePublished - Sep 1 2022


  • Biofluid
  • Fluid-structure interaction
  • Lagrangian extrapolation
  • Method of regularized Stokeslets
  • Parareal
  • Richardson extrapolation

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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