期刊论文详细信息
JOURNAL OF COMPUTATIONAL PHYSICS 卷:264
Efficient numerical schemes for viscoplastic avalanches. Part 1: The 1D case
Article
Fernandez-Nieto, Enrique D.1  Gallardo, Jose M.2  Vigneaux, Paul3 
[1] Univ Seville, ETS Arquitectura, Dept Matemat Aplicada 1, E-41012 Seville, Spain
[2] Univ Malaga, Dept Anal Matemat, E-29071 Malaga, Spain
[3] Ecole Normale Super Lyon, Unitee Math Pures & Appliquees, F-69364 Lyon 07, France
关键词: Viscoplastic;    Shallow water;    Well-balanced;    Finite volume;    Variational inequality;    Bingham;   
DOI  :  10.1016/j.jcp.2014.01.026
来源: Elsevier
PDF
【 摘 要 】

This paper deals with the numerical resolution of a shallow water viscoplastic flow model. Viscoplastic materials are characterized by the existence of a yield stress: below a certain critical threshold in the imposed stress, there is no deformation and the material behaves like a rigid solid, but when that yield value is exceeded, the material flows like a fluid. In the context of avalanches, it means that after going down a slope, the material can stop and its free surface has a non-trivial shape, as opposed to the case of water (Newtonian fluid). The model involves variational inequalities associated with the yield threshold: finite-volume schemes are used together with duality methods (namely Augmented Lagrangian and Bermudez-Moreno) to discretize the problem. To be able to accurately simulate the stopping behavior of the avalanche, new schemes need to be designed, involving the classical notion of well-balancing. In the present context, it needs to be extended to take into account the viscoplastic nature of the material as well as general bottoms with wet/dry fronts which are encountered in geophysical geometries. We derived such schemes and numerical experiments are presented to show their performances. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free   

【 预 览 】
附件列表
Files Size Format View
10_1016_j_jcp_2014_01_026.pdf 1246KB PDF download
  文献评价指标  
  下载次数:1次 浏览次数:0次