Simulation of free surface flows by a finite element interface capturing technique

BATTAGLIA, LAURA; STORTI, MARIO; D'ELÍA, JORGE

INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS

TAYLOR & FRANCIS LTD

Lugar: Gran Bretaña; Año: 2010 vol. 24 p. 121 - 133

1061-8562

Transient free surface flows are numerically simulated by a finiteelement interface capturing method based on a level set approach. The methodology consists of the solution of two-fluid viscousincompressible flows for a single domain, where the liquid phase isidentified by positive values of the level set function, the gaseousphase by negative ones, and the free surface by the zero level set.The numerical solution at each time step is performed in three stages: (i) a two-fluid Navier--Stokes stage, (ii) an advection stage for the transport of the level set function, and (iii) a boundedreinitialization with continuous penalization stage for keepingsmoothness of the level set function. The proposed procedure, andparticularly the renormalization stage, are evaluated in three typical two and three-dimensional problems.