Computer modeling of liquid-solid impacts

Authors:
Enrico Bertolazzi;Gianmarco Manzini
Affiliations:
Dipartimento di Ingegneria Meccanica e Strutturale, Universití di Trento, via Mesiano 77, I-38050 Trento, Italy;Istituto di Matematica Applicata e Tecnologie Informatiche, IMATI-CNR, via Ferrata 1, I-27100 Pavia, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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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 RT"0 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.