  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.
