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Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

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Abstract

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 (N-S) 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.

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  1. Key Laboratory for Hydrodynamics and Ocean Engineering, Institute of Mechanics, Chinese Academy of Sciences, #15, Bei Si Huan Xi Road, Beijing, 100190, China

    M. B. Liu

  2. Centre for Advanced Computations in Engineering Science (ACES), Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260, Singapore

    G. R. Liu

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G.R. Liu is SMA Fellow, Singapore-MIT Alliance.

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Liu, M.B., Liu, G.R. Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments. Arch Computat Methods Eng 17, 25–76 (2010). https://doi.org/10.1007/s11831-010-9040-7

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