Exploiting Numerical Behaviors in SPH.

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Abstract

Smoothed Particle Hydrodynamics is a meshless particle method able toevaluate unknown field functions and relative differential operators. This evaluationis done by performing an integral representation based on a suitable smoothing kernelfunction which, in the discrete formulation, involves a set of particles scattered in theproblem domain. Two fundamental aspects strongly characterizing the developmentof the method are the smoothing kernel function and the particle distribution. Theirchoice could lead to the so-called particle inconsistency problem causing a loose ofaccuracy in the approximation; several corrective strategies can be adopted to overcomethis problem. This paper focuses on the numerical behaviors of SPH with respectto the consistency restoring problem and to the particle distribution choice, providinguseful hints on how these two aspects affect the goodness of the approximation andmoreover how they mutually influence themselves. A series of numerical studies areperformed approximating 1D, 2D and 3D functions validating this idea.
Lingua originaleEnglish
pagine (da-a)128-136
Numero di pagine9
RivistaJournal of Mathematical Chemistry
Volume48
Stato di pubblicazionePublished - 2010

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All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Applied Mathematics

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