Simulation of two-fluid flows using a Finite Element/level set method.   Application to bubbles and vesicle dynamics
  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. 
Vincent Doyeux (LIPhy), Yann Guyot (LIPhy), Vincent Chabannes (LJK),   Christophe Prud'Homme (LJK, IRMA), Mourad Ismail (LIPhy)
math.NA physics.flu-dyn