Simulating dense granular flow using the μ(I)‐rheology within a space‐time framework

International Journal for Numerical Methods in Fluids, vol. 93, pp. 2889–2904

Abstract

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 (I)‐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 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.

Authors 1

1. Marek Behr Aachen Chair for Computational Analysis of Technical Systems (CATS) Center for Simulation and Data Science

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems (CATS), Center for Simulation and Data Science (JARA‐CSD) RWTH Aachen University Aachen Germany