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A mixed finite element solver for liquid-liquid impacts. (English) Zbl 1053.76036

Summary: The impact of a liquid column on a liquid surface initially at rest is numerically modelled to describe air entrapment and bubble formation processes. The global quantities of interest are evaluated in the framework of potential theory. The numerical method couples a potential flow solver based on a mixed finite element method with an ordinary differential equation solver discretized by the Crank-Nicholson scheme. The capability of the method in solving liquid-liquid impacts is illustrated in two numerical experiments taken from the literature, and a good agreement with the literature data is obtained.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76M20 Finite difference methods applied to problems in fluid mechanics

Software:

MA47; Triangle; P2MESH
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Full Text: DOI

References:

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