Table of Contents
Journal of Computational Engineering
Volume 2014, Article ID 201958, 5 pages
Research Article

Navier-Stokes Equation and Computational Scheme for Non-Newtonian Debris Flow

1Institute for Scientific Methodology (ISEM), Via Ugo La Malfa 153, 90146 Palermo, Italy
2Department of Mathematics and Computer Science, University of Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy
3Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

Received 26 November 2013; Revised 26 February 2014; Accepted 27 February 2014; Published 27 March 2014

Academic Editor: Pierre-yves Manach

Copyright © 2014 Ignazio Licata and Elmo Benedetto. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes a computational approach to debris flow model. In recent years, the theoretical activity on the classical Herschel-Bulkley model (1926) has been very intense, but it was in the early 80s that the opportunity to explore the computational model has enabled considerable progress in identifying the subclasses of applicability of different sets of boundary conditions and their approximations. Here we investigate analytically the problem of the simulation of uniform motion for heterogeneous debris flow laterally confined taking into account mainly the geological data and methodological suggestions derived from simulation with cellular automata and grid systems, in order to propose a computational scheme able to operate a compromise between “global” predictive capacities and computing effort.