Simulating dense granular flow using the $\mu$($I$)-rheology within a space-time framework
Abstract
A space-time framework is applied to simulate dense granular flow. Two different numerical experiments are performed: a column collapse and a dam break on an inclined plane. The experiments are modeled as two-phase flows. The dense granular material is represented by a constitutive model, the ()-rheology, that is based on the Coulomb's friction law, such that the normal stress applied by the pressure is related to the tangential stress. The model represents a complex shear thinning viscoplastic material behavior. The interface between the dense granular material and the surrounding light fluid is captured with a level set function. Due to discontinuities close to the the interface, the mesh requires a sufficient resolution. The space-time approach allows unstructured meshes in time and, therefore a well refined mesh in the temporal direction around the interface. In this study, results and performance of a flat and a simplex space time discretization are verified and analyzed.
Keywords
Cite
@article{arxiv.2102.04701,
title = {Simulating dense granular flow using the $\mu$($I$)-rheology within a space-time framework},
author = {Linda Gesenhues and Marek Behr},
journal= {arXiv preprint arXiv:2102.04701},
year = {2021}
}