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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Grain-scale modeling and splash parametrization for aeolian sand transport.
Marc Lämmel1, Kamil Dzikowski1, Klaus Kroy1
1Institut für Theoretische Physik, Universität Leipzig, Postfach 100920, 04009 Leipzig, Germany.
Physical Review. E
|March 17, 2017
Summary
We developed a new model for grain-bed collisions, predicting splash dynamics like rebound and ejection. This model accurately matches experimental data and simulations, aiding geophysical flow analysis.
Area of Science:
- Physics
- Granular Mechanics
- Fluid Dynamics
Background:
- Grain-bed collisions are crucial in granular flows.
- Existing models often lack comprehensive splash characterization.
Purpose of the Study:
- To derive a new rebound parametrization for spherical grain-granular bed collisions.
- To provide a complete, coarse-grained characterization of splash dynamics.
Main Methods:
- Utilized geometric considerations and physical principles (momentum conservation, inelastic collisions).
- Integrated an energy-splitting model for impact energy distribution.
- Validated predictions with experimental data and discrete-element simulations.
Main Results:
- Developed a splash parametrization based on impact velocity and grain-size ratio.
- Achieved excellent agreement between predicted and experimental/simulated rebound angle, restitution, ejection speed, and grain count.
- Derived analytical asymptotic relations for shallow impact geometries.
Conclusions:
- The derived parametrization offers a complete characterization of grain-bed collision splash dynamics.
- The model's accuracy is confirmed by experimental and simulation data.
- Analytical relations facilitate coarse-grained modeling of geophysical particle-laden flows.
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