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The problem of filling a silo of given bounded cross-section with granularmatter can be described by the two-layer model of Hadeler and Kuttler [8]. Inthis paper we discuss how similarity quasi-static solutions for this model canbe numerically characterized by the direct finite element solution of asemidefinite elliptic Neumann problem. We also discuss a finite differencescheme for the dynamical model through which we can show that the growingprofiles of the heaps in the silo evolve in finite time towards such similaritysolutions.

A numerical study of a two-layer model for the growth of granular matter in a silo