摘要：In this work, numerical simulations of free surface flows of incompressible and
viscous fluids are performed by a finite element computation. As presented in
previous works, the free surface movement is followed by a mesh-movement
technique (see Battaglia et al, Mec´anica Computacional, Vol XXIV, pp.
105-116, Buenos Aires, Argentina, Nov. 2005), but because of the fully explicit
character of the free surface update equation a smoothing process was used to
avoid numerical instabilities. Regarding that the kinematic boundary
condition at the interface can be described as a transport-like
equation, different authors suggested consistent stabilized finite-element
formulations for the free surface, such as streamline upwind/P´etrov-Galerkin
(SUPG) (Soula¨ımani et al, Comp. Meth. Appl. Mech. Engrg., Vol. 86(3), 1991;
G¨uler et al, Computational Mechanics, vol. 23, pp. 117-123, 1999) or
Galerkin/Least- Squares (GLS) (Behr et al, Comp. Meth. Appl. Mech. Engrg.,
Vol. 191(47-48), pp. 5467-5483, Nov. 2002). In this work, a numerical
stabilization with this aim is performed as a part of the
multi-physics finite element code PETSc-FEM
(http://www.cimec.org.ar/petscfem/). Numerical examples are shown.
