FINITE-ELEMENT SIMULATION OF 2-DIMENSIONAL AND 3-DIMENSIONAL FREE-SURFACE FLOWS

This paper is devoted to the free surface flows finite elements simulation. Arbitrary Lagrangian (or referential) kinematic description is used in order to express the conservation equations in a moving domain. The geometrical nonlinearities are found to be expressed analytically into the conservation equations and into the corresponding variational model, thus with simple linearization of the referential motion one obtains the appropriate approximated variational model. The numerical procedures developed and the finite elements implementation are discussed and assessed numerically by some two-and three-dimensional benchmark examples.