TY - JOUR

T1 - Exploiting Numerical Behaviors in SPH.

AU - Toscano, Elena

AU - Francomano, Elisa

AU - Tortorici, Adele

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Meshless particle method

KW - consistency restoring

KW - function approximation

KW - particle distribution

KW - smoothed particle hydrodinamics method

KW - Meshless particle method

KW - consistency restoring

KW - function approximation

KW - particle distribution

KW - smoothed particle hydrodinamics method

UR - http://hdl.handle.net/10447/53773

M3 - Article

VL - 48

SP - 128

EP - 136

JO - Journal of Mathematical Chemistry

JF - Journal of Mathematical Chemistry

SN - 0259-9791

ER -