Constructing relaxation systems for lattice Boltzmann methods

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.

Fedor Bukreev

Papers

Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

Simulation of Adsorption Processes on Moving Particles Based on an Euler-Euler Description Using a Lattice Boltzmann Discretization