Time Dependent Ginzburg-Landau Equation for Sheared Granular Flow
Kuniyasu Saitoh, Hisao Hayakawa
TL;DR
This paper numerically solves the time-dependent Ginzburg-Landau equation for 2D granular shear flow, revealing transient and steady-state behaviors that resemble shear bands observed in DEM simulations.
Contribution
It introduces a numerical approach to analyze the Ginzburg-Landau equation in granular flow, linking continuum models to discrete shear band phenomena.
Findings
Numerical solutions exhibit shear band structures.
Transient dynamics match experimental observations.
Steady states resemble shear band patterns.
Abstract
The time dependent Ginzburg-Landau equation for a two-dimensional granular shear flow is numerically solved, where we study both the transient dynamics and the steady state of the order parameter. The structural changes of the numerical solutions are qualitatively similar to the shear bands observed in the discrete element method (DEM) simulation of the two-dimensional granular shear flow.
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