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

다국어 초록 (Multilingual 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 μ(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.
We present simulations of a dense granular flow using the μ(I)‐rheology within a space‐time framework. A column collapse and a dam break on an inclined plane are modeled as two‐phase flows. One fluid is modeled with the μ(I)‐rheology and the other phase as a Newtonian fluid. The space‐time approach allows unstructured meshes in time, leading to a well‐refined mesh in the temporal direction around the interface.