Simulations of Pattern Formation in Vibrated Granular Media

TL;DR

This paper uses numerical simulations to study pattern formation in vibrated granular media, revealing how pattern wavelength depends on system parameters and aligning with experimental and theoretical insights.

Contribution

It provides the first quantitative simulation data on pattern wavelength dependence in vibrated granular layers, connecting experiments and theory.

Findings

Pattern wavelength varies with acceleration and system size.

Simulation results align with experimental observations.

Dispersion relation for gravity wave-like patterns is characterized.

Abstract

We present simulations of peak pattern formation in vibrated two-dimensional (2D) granulates and measure the dispersion relation of the pattern for various frequencies, accelerations, cell sizes, and layer heights. We report the first quantitative data from numerical simulations showing an interesting dependence of the pattern wavelength on the acceleration and the system size. Our results are related to recent experimental findings and theoretical predictions for gravity waves.