A second-order non-local model for granular flows

We determine a constitutive equation for developed three-dimensional granular flows based on series of discrete element method simulations. In order to capture non-local phenomena, normal stress differences, and secondary flows, we extend previously proposed temperature-sensitive rheological model by considering Rivlin-Ericksen tensors up second order. Three parameters are calibrated with the inertial number dimensionless temperature. validate our running finite difference simulations inclined chute flows. The successfully predicts velocity fields in this geometry, including vortical that previous first-order models could not predict slow creeping zones local miss. It simultaneously captures non-trivial variation among diagonal components tensor throughout domain.