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A 3D fully Lagrangian smoothed particle hydrodynamics model with both volume and surface discrete elements. (English) Zbl 1353.76059
Summary: A 3D fully Lagrangian smoothed particle hydrodynamics (SPH) model has been developed adopting a particle approximation, which considers both volume and surface elements at boundaries. The model is based on the main principles of the 2D model of M. Ferrand et al. [“Unified semi-analytical wall boundary conditions for inviscid laminar or turbulent flows in the mesh less SPH method”, Int. J. Numer. Methods Fluids 71, No. 4, 446–472 (2012; doi:10.1002/fld.3666) and on the spatial reconstruction schemes used in SPH-arbitrary Lagrangian-Eulerian modeling to treat boundaries [J. C. Marongiu et al., “Numerical simulation of the flow in a pelton turbine using the mesh less method smoothed particle hydrodynamics: a new simple solid boundary treatment”, Proceeding of the Institution of Mechanical Engineering. Part A: Journal of Power and Energy 221, No. 6, 849–856 (2007; doi:10.1243/09576509JPE465)]. This model is conceived to represent free surface flows and their interactions with solid structures. It is validated on a 2D water jet impact over a plate, a sloshing tank test case, and two experimental 3D dam break fronts, which interact with fixed obstacles. The results are compared with the available measurements and analytical solutions. We finally provide supplementary inter-comparisons using another SPH numerical model, based on the semi-analytical approach.

MSC:
76M28 Particle methods and lattice-gas methods
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
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