A numerical study of a two-layer model for the growth of granular matter in a silo
Numerical Analysis
2016-02-11 v2
Abstract
The problem of filling a silo of given bounded cross-section with granular matter can be described by the two-layer model of Hadeler and Kuttler [8]. In this paper we discuss how similarity quasi-static solutions for this model can be numerically characterized by the direct finite element solution of a semidefinite elliptic Neumann problem. We also discuss a finite difference scheme for the dynamical model through which we can show that the growing profiles of the heaps in the silo evolve in finite time towards such similarity solutions.
Keywords
Cite
@article{arxiv.1512.09066,
title = {A numerical study of a two-layer model for the growth of granular matter in a silo},
author = {Stefano Finzi Vita},
journal= {arXiv preprint arXiv:1512.09066},
year = {2016}
}
Comments
Submitted to Proceedings of the MASCOT2015 - IMACS/ISGG Workshop, Rome, Italy