@article{ref1,
title="Computer modeling of liquid-solid impacts",
journal="Mathematical and computer modelling",
year="2007",
author="Bertolazzi, Enrico and Manzini, Gianmarco",
volume="45",
number="1-2",
pages="162-176",
abstract="A mathematical model is formulated in the framework of the potential theory to describe the impact of a bore on a rigid wall. The solution of the resulting free-interface flow problem is numerically approximated by a tracking method of new conception. Basically, the free interface separating liquid and air is assumed to be a free fluid line. Its shape and location are tracked in time by numerically solving the evolutive equations of a set of interface node positions and potentials. The evolutive equations are derived from Bernoulli's law and are integrated by the Crank-Nicholson method. As the shape of the computational domain evolves in time, the domain is fully re-meshed at each time step, and a new steady mixed Dirichlet-Neumann Laplacian problem is formulated and solved by applying the RT0 mixed finite element method. This potential flow solver has been validated by simulating the liquid-solid impact of a bore against a rigid wall and comparing the numerical results with the available experimental measurements.<p />",
language="",
issn="0895-7177",
doi="10.1016/j.mcm.2006.04.013",
url="http://dx.doi.org/10.1016/j.mcm.2006.04.013"
}