A FINITE VOLUME METHOD FOR THE NUMERICAL SIMULATION OF LIQUID BORE IMPACT AGAINST WALL

Enrico Bertolazzi (Italy) and Gianmarco Manzini (Italy)

Abstract

In this work, we present a finite volume element method, combined with the Crank-Nicolson scheme for time step advancing, that is capable of calculating the unsteady, incompressible, free surface flow field due to the collision of a bore on a vertical plane wall. The 2-D impact is modeled by a fully nonlinear potential approach. A discrete formulation is implemented to trace accurately the pathline of the nodes on the free surface. When conjecturing realistic initial conditions, the numerical simulations are successful in obtaining a quantitative evaluation of physical quantities, such as the maximum force acting on the wall, so that meaningful predictions can be obtained not only from laboratory tests but also from numerical simulations.

Keywords and phrases: impacts, FVE methods.