Numerical simulation of pattern formation in grain flows

DOI10.1016/S0096-3003(96)00084-7zbMath0885.76075OpenAlexW2104225293MaRDI QIDQ1368921

Pierre Alain Gremaud

Publication date: 7 October 1997

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00084-7

zbMATH Keywords

granular materialshopperscellular automaton approachdensity wavesorientational effects

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Cites Work

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• Singular diffusion limits of a class of reversible self-organizing particle systems
• Thoughts on pseudorandom number generators
• Instability in the evolution equations describing incompressible granular flow
• Cellular automata models for the flow of granular materials
• Numerical computations for shear bands in an antiplane shear model
• Lattice Boltzmann computational fluid dynamics in three dimensions
• Unloading near a shear band: a free boundary problem for the wave equation
• The Initial Value Problem for a System Modelling Unidirectional Longitudinal Elastic-Plastic Waves
• On singular diffusion equations with applications to self‐organized criticality
• Unloading near a shear band in granular material
• Numerical Simulation of Uniaxial Compression of a Granular Material with Wall Friction

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