In the broad field of numerical simulation of granular flow, many
distinct challenges are faced. Aside from the nontrivial task of
defining granular flow'', the first challenge is its modeling.
Still no common scientific agreement has been reached for the exact
equations. The vast majority of publications distinctively treats
either dilute or dense regimes. Common to nearly all models, the
contained equations in their full complexity are very difficult to
solve by available numerical methods. The author develops an
interdisciplinary approach to the simulation of granular flow in
all regimes using a hydrodynamic view on modeling. A system of
partial differential equations and constitutive relations is
derived through the kinetic theory of granular gases with
extensions from soil mechanics. The author introduces a novel
nonlinear fractional step approach, which is able to numerically
obtain approximate solutions. The simulation method, including
modeling and numerics is implemented within a software framework
for the generic solution of complex rheology problems developed by
the author which results in this in-itself closed method for the
numerical simulation of granular flow.
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