Simulation of two-fluid flows using a finite element/level set method. Application to bubbles and vesicle dynamics. (English) Zbl 1426.76249
Summary: A new framework for two-fluid flows 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.
MSC:
76M10 | Finite element methods applied to problems in fluid mechanics |
76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
76T10 | Liquid-gas two-phase flows, bubbly flows |