Computer modeling of liquid-solid impacts. (English) Zbl 1130.76018
Summary: 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 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 by comparing the numerical results with available experimental measurements.
MSC:
| 76B07 | Free-surface potential flows for incompressible inviscid fluids |
| 76B10 | Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 86A05 | Hydrology, hydrography, oceanography |
Keywords:
mixed finite element method; front tracking method; potential free-interface flow; Crank-Nicholson methodReferences:
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