A Nonlinear Elliptic Problem Related to Flowing Granular Materials

Abstract

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 equation on a subdomain of the sphere. Existence and local uniqueness of the solutions are established. A spectral numerical method using Fourier/Chebyshev-Gauss-Radau collocation for discretization and Newton-GMRES as solver is proposed and implemented. Corresponding numerical experiments are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2000
Accession Number
ADA387085

Entities

People

  • Pierre A. Gremaud

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Axisymmetric
  • Chebyshev Polynomials
  • Containers
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of State
  • Geometry
  • Granular Materials
  • Helmholtz Equations
  • Internal Friction
  • Materials
  • Mathematical Analysis
  • Numerical Analysis
  • Steady State
  • Symmetry
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Structural Dynamics.