### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 128-136 |

Numero di pagine | 9 |

Rivista | Journal of Mathematical Chemistry |

Volume | 48 |

Stato di pubblicazione | Published - 2010 |

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### All Science Journal Classification (ASJC) codes

- Chemistry(all)
- Applied Mathematics

### Cita questo

*Journal of Mathematical Chemistry*,

*48*, 128-136.

**Exploiting Numerical Behaviors in SPH.** /.

Risultato della ricerca: Article

*Journal of Mathematical Chemistry*, vol. 48, pagg. 128-136.

}

TY - JOUR

T1 - Exploiting Numerical Behaviors in SPH.

AU - Francomano, Elisa

AU - Toscano, Elena

PY - 2010

Y1 - 2010

N2 - Smoothed Particle Hydrodynamics is a meshless particle method able to evaluate unknown field functions and relative differential operators. This evaluation is done by performing an integral representation based on a suitable smoothing kernel function which, in the discrete formulation, involves a set of particles scattered in the problem domain. Two fundamental aspects strongly characterizing the development of the method are the smoothing kernel function and the particle distribution. Their choice could lead to the so-called particle inconsistency problem causing a loose of accuracy in the approximation; several corrective strategies can be adopted to overcome this problem. This paper focuses on the numerical behaviors of SPH with respect to the consistency restoring problem and to the particle distribution choice, providing useful hints on how these two aspects affect the goodness of the approximation and moreover how they mutually influence themselves. A series of numerical studies are performed approximating 1D, 2D and 3D functions validating this idea.

AB - Smoothed Particle Hydrodynamics is a meshless particle method able to evaluate unknown field functions and relative differential operators. This evaluation is done by performing an integral representation based on a suitable smoothing kernel function which, in the discrete formulation, involves a set of particles scattered in the problem domain. Two fundamental aspects strongly characterizing the development of the method are the smoothing kernel function and the particle distribution. Their choice could lead to the so-called particle inconsistency problem causing a loose of accuracy in the approximation; several corrective strategies can be adopted to overcome this problem. This paper focuses on the numerical behaviors of SPH with respect to the consistency restoring problem and to the particle distribution choice, providing useful hints on how these two aspects affect the goodness of the approximation and moreover how they mutually influence themselves. A series of numerical studies are performed approximating 1D, 2D and 3D functions validating this idea.

KW - Meshless particle method; smoothed particle hydrodinamics method; consistency restoring; function approximation; particle distribution

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 -