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Smoothed particle hydrodynamics (SPH): an overview and recent developments. (English) Zbl 1348.76117
Summary: Smoothed particle hydrodynamics (SPH) is a meshfree particle method based on Lagrangian formulation, and has been widely applied to different areas in engineering and science. This paper presents an overview on the SPH method and its recent developments, including (1) the need for meshfree particle methods, and advantages of SPH, (2) approximation schemes of the conventional SPH method and numerical techniques for deriving SPH formulations for partial differential equations such as the Navier-Stokes equations, (3) the role of the smoothing kernel functions and a general approach to construct smoothing kernel functions, (4) kernel and particle consistency for the SPH method, and approaches for restoring particle consistency, (5) several important numerical aspects, and (6) some recent applications of SPH. The paper ends with some concluding remarks.

MSC:
76M28 Particle methods and lattice-gas methods
76T10 Liquid-gas two-phase flows, bubbly flows
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
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