Constructing smoothing functions in smoothed particle hydrodynamics with applications
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TLDR
In this article, a general approach to construct analytical smoothing functions for the mesh-free, Lagrangian and particle method of smoothed particle hydrodynamics is presented.About:
This article is published in Journal of Computational and Applied Mathematics.The article was published on 2003-06-15 and is currently open access. It has received 238 citations till now. The article focuses on the topics: Smoothing & Taylor series.read more
Citations
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Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments
Moubin Liu,Gui-Rong Liu +1 more
TL;DR: An overview on the SPH method and its recent developments is presented, including the need for meshfree particle methods, and advantages of SPH, and several important numerical aspects.
Journal ArticleDOI
Restoring particle consistency in smoothed particle hydrodynamics
Moubin Liu,Gui-Rong Liu +1 more
TL;DR: It is found the new approach can successfully restore the particle consistency and can therefore significantly improve the approximation accuracy.
Journal ArticleDOI
Truncation error in mesh-free particle methods
TL;DR: In this article, a truncation error analysis has been developed for the approximation of spatial derivatives in smoothed particle hydrodynamics (SPH) and related first-order consistent methods such as the firstorder form of the reproducing kernel particle method.
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An improved SPH method for modeling liquid sloshing dynamics
TL;DR: In this article, an improved version of the smoothed particle hydrodynamics (SPH) method is proposed to model liquid sloshing dynamics. But the method is not suitable for modeling liquid-solid interactions.
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Modeling incompressible flows using a finite particle method
Moubin Liu,W.P. Xie,Gui-Rong Liu +2 more
TL;DR: In this article, the authors describe the applications of a finite particle method (FPM) to modeling incompressible flow problems, including the classic Poiseuille flow, Couette flow, shear driven cavity and a dam collapsing problem.
References
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Journal ArticleDOI
Smoothed particle hydrodynamics: Theory and application to non-spherical stars
R. A. Gingold,Joseph J Monaghan +1 more
Journal ArticleDOI
A numerical approach to the testing of the fission hypothesis.
TL;DR: A finite-size particle scheme for the numerical solution of two-and three-dimensional gas dynamical problems of astronomical interest is described and tested in this article, which is then applied to the fission problem for optically thick protostars.
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Smoothed particle hydrodynamics.
TL;DR: In this paper, the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed, focusing on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied.
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Simulating Free Surface Flows with SPH
TL;DR: In this paper, the SPH (smoothed particle hydrodynamics) method is extended to deal with free surface incompressible flows, and examples are given of its application to a breaking dam, a bore, the simulation of a wave maker, and the propagation of waves towards a beach.
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Reproducing kernel particle methods
TL;DR: A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed and is called the reproducingkernel particle method (RKPM).