English

Binary mixture flow with free energy lattice Boltzmann methods

Numerical Analysis 2022-12-06 v1 Numerical Analysis Fluid Dynamics

Abstract

We use free energy lattice Boltzmann methods (FRE LBM) to simulate shear and extensional flow of a binary mixture in two and three dimensions. To this end, two classical configurations are digitally twinned, namely a parallel-band device for binary shear flow and a four-roller apparatus for binary extensional flow. The FRE LBM and the test cases are implemented in the open-source C++ framework OpenLB and evaluated for several non-dimensional numbers. Characteristic deformations are captured, where breakup mechanisms occur for critical capillary regimes. Though the known mass leakage for small droplet-domain ratios is observed, suitable mesh sizes show good agreement to analytical predictions and reference results.

Keywords

Cite

@article{arxiv.2212.01617,
  title  = {Binary mixture flow with free energy lattice Boltzmann methods},
  author = {Stephan Simonis and Johannes Nguyen and Samuel J. Avis and Willy Dörfler and Mathias J. Krause},
  journal= {arXiv preprint arXiv:2212.01617},
  year   = {2022}
}
R2 v1 2026-06-28T07:21:12.310Z