A numerical study of a two-layer model for the growth of granular matter in a silo
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2015
- DOI:
- 10.48550/arXiv.1512.09066
- arXiv:
- arXiv:1512.09066
- Bibcode:
- 2015arXiv151209066F
- Keywords:
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- Mathematics - Numerical Analysis
- E-Print:
- Submitted to Proceedings of the MASCOT2015 - IMACS/ISGG Workshop, Rome, Italy