Modeling ternary fluids in contact with elastic membranes

We present a thermodynamically consistent model of ternary fluid interacting with elastic membranes. Following free-energy modelling approach and taking into account the thermodynamics laws, we derive equations governing flow dynamics also provide numerical framework for simulating such fluid-structure interaction problems. It is based on lattice Boltzmann method, employed resolving evolution in an Eulerian description, coupled to immersed boundary allowing membrane motion be solved Lagrangian system. The configuration capsule placed at fluid-fluid interface considered validation purposes. Systematic simulations are performed detailed comparison reference results obtained by Surface Evolver, Galilean invariance proposed proven. versatile, wide range geometries can simulated. To demonstrate this, problem capillary bridge formed between two deformable capsules investigated here.