B. Maury et O. Pironneau, CHARACTERISTICS ALE METHOD FOR UNSTEADY FREE-SURFACE FLOWS WITH SURFACE-TENSION, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 613-614
This paper presents a method to compute unsteady free surface flows wi
th good stability properties. The method of characteristics is used to
take into account the inertia term in the Navier-Stokes equations, an
d to compute the motion of the free surface at each time step. A varia
tional form of the surface tension force is proposed for test function
s whose trace on the boundary triangulation is continuous and piecewis
e P-1.