Quantitative test of the time dependent Gintzburg-Landau equation for sheared granular flow in two dimension

TL;DR

This paper tests the accuracy of the time-dependent Ginzburg-Landau equation in modeling two-dimensional sheared granular flows by comparing its predictions with discrete element method simulations, confirming quantitative and qualitative agreements.

Contribution

It provides a quantitative validation of the Ginzburg-Landau equation for granular flow under shear, derived from weakly nonlinear analysis.

Findings

Quantitative agreement in area fraction and velocity fields.

Qualitative agreement in granular temperature.

Validation of the Ginzburg-Landau model for shear granular flows.

Abstract

We examine the validity of the time-dependent Ginzburg-Landau equation of granular fluids for a plane shear flow under the Lees-Edwards boundary condition derived from a weakly nonlinear analysis through the comparison with the result of discrete element method. We verify quantitative agreements in the time evolutions of the area fraction and the velocity fields, and also find qualitative agreement in the granular temperature.