A review of depth-averaged models for dry granular flows: Savage-Hutter and $\mu(I)$-rheology

TL;DR

This paper reviews depth-averaged models for dry granular flows, comparing classical Savage-Hutter and modern $$-rheology based models, highlighting their advantages and the impact of their assumptions.

Contribution

It provides a comparative analysis of popular depth-averaged models for dry granular flows, emphasizing the influence of modeling hypotheses on their formulations.

Findings

Savage-Hutter model effectively simulates aerial avalanches.

$$-rheology models incorporate complex flow behaviors.

Model assumptions significantly affect the resulting equations.

Abstract

In this work we present a review of the most popular depth-averaged models to simulate dry granular flows such as aerial avalanches. The classical Savage-Hutter model and recent ones using a $\mu(I)$-rheology law are studied. The objective is firstly to point out the advantages of each such models and secondly to understand how the hypothesis considered in the derivation process influence on the final system.