Simulation of two-fluid flows using a Finite Element/level set method. Application to bubbles and vesicle dynamics
For researchers in computational fluid dynamics and biomechanics, this provides a validated framework for simulating deformable particles like vesicles, though the method is an incremental extension of existing techniques.
The paper presents a Finite Element/Level Set method for simulating two-fluid flows, validated on bubble rising and vesicle dynamics, including tank-treading and tumbling motions.
A new framework for two-fluids flow using a Finite Element/Level Set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid. This model is then enriched to deal with vesicles (which mimic red blood cells mechanical behavior) by introducing a Lagrange multiplier to constrain the inextensibility of the membrane. Moreover, high order polynomial approximation is used to increase the accuracy of the simulations. A validation of this model is finally presented on known behaviors of vesicles under flow such as "tank treading" and tumbling motions.