A Nonlinear Elliptic Problem Related to Flowing Granular Materials
نویسنده
چکیده
Similarity solutions for the flow of granular materials are constructed. Unlike previous work, the present approach can be applied to non-axisymmetric containers. The steady state equations are reduced to a nonlinear Helmholtz on a subdomain of the sphere. Existence and local uniqueness of the solutions are established. A spectral numerical method using Fourier/ChebyshevGauss-Radau collocation for discretization and Newton-GMRES as solver is proposed and implemented. Corresponding numerical experiments are discussed.
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