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. 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.
A numerical study of a two-layer model for the growth of granular matter in a silo / FINZI VITA, Stefano. - STAMPA. - 20:(2017), pp. 81-90. (Intervento presentato al convegno MASCOT2015 tenutosi a Roma nel June, 9-12, 2015).
A numerical study of a two-layer model for the growth of granular matter in a silo
FINZI VITA, Stefano
2017
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. 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.| File | Dimensione | Formato | |
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