## 摘要

We use the non-Cartesian, topography-based equations of mass and momentum balance for gravity driven frictional flows of Luca et al. (Math. Mod. Meth. Appl. Sci. 19, 127-171 (2009)) to motivate a study on various approximations of avalanche models for single-phase granular materials. By introducing scaling approximations we develop a hierarchy of model equations which differ by degrees in shallowness, basal curvature, peculiarity of constitutive formulation (non-Newtonian viscous fluids, Savage-Hutter model) and velocity profile parametrization. An interesting result is that differences due to the constitutive behaviour are largely eliminated by scaling approximations. Emphasis is on avalanche flows; however, most equations presented here can be used in the dynamics of other thin films on arbitrary surfaces.

原文 | English |
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頁（從 - 到） | 121-149 |

頁數 | 29 |

期刊 | Acta Mechanica |

卷 | 205 |

發行號 | 1-4 |

DOIs | |

出版狀態 | Published - 2009 6月 |

## All Science Journal Classification (ASJC) codes

- 計算力學
- 機械工業