
We use free energy lattice Boltzmann methods to simulate shear and extensional flows of a binary fluid 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 free energy lattice Boltzmann method and the test cases are implemented in the open-source parallel 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 and large Cahn numbers is observed, suitable mesh sizes show good agreement to analytical predictions and reference results.
ddc:510, lattice Boltzmann methods, 660, Navier-Stokes equations for incompressible viscous fluids, Lattice Boltzmann methods, multicomponent flow, Multiphase and multicomponent flows, 530, 510, Cahn-Hilliard equation, Rarefied gas flows, Boltzmann equation in fluid mechanics, free energy model, Navier–Stokes equations, Particle methods and lattice-gas methods, Cahn–Hilliard equation, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations, Mathematics, info:eu-repo/classification/ddc/510
ddc:510, lattice Boltzmann methods, 660, Navier-Stokes equations for incompressible viscous fluids, Lattice Boltzmann methods, multicomponent flow, Multiphase and multicomponent flows, 530, 510, Cahn-Hilliard equation, Rarefied gas flows, Boltzmann equation in fluid mechanics, free energy model, Navier–Stokes equations, Particle methods and lattice-gas methods, Cahn–Hilliard equation, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations, Mathematics, info:eu-repo/classification/ddc/510
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