Numerical Methods for Granular Flows and Related Problems
Final rept. 1 Jun 1999-30 Sep 2002
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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This project has led to significant progress on several critical questions related to granular flows. First, a high order code based on Discontinuous Galerkin method has been produced to study granular in axisymmetric hoppers. Before that, only ad hoc discretization methods were used. This led to the discovery of several new phenomena such as shock formation and propagation. Several weaknesses of established models were also brought to the fore. Second, the effect of the geometry of the hopper on the flow were analyzed. Secondary circulation and resonance phenomena were observed in the models. This too is new. Third, advances were made in the analysis of sound propagation in sand and the importance of wall friction in the process. Fourth, a model of powder consolidation has been proposed, analyzed and discretized, leading to an industrial code. Fifth, a robust method for the volume determination of granular heap in complicated geometries has been proposed and implemented. The project has also yielded results not directly related to granular materials, such progress in long time integration of Discontinuous Galerkin methods and study of Partial Differential Algebraic equations.
- Numerical Mathematics
- Fluid Mechanics
- Miscellaneous Materials