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Lagrangian-Eulerian, particle tracking modelling
Motions of single snow particles in the air flow can be modelled by Lagrange particle tracking techniques. The air phase is considered as a continuum fluid while the snow phase is given by a certain number of particles, which are drifting due to the air velocities. This approach is named Lagrangian-Eulerian since it represents a combination of Eulerian velocity evaluation and Lagrange particle modelling. Lagrangian-Eulerian, particle tracking modelling are most interesting for investigation of drifting snow behaviour around structures.
The method enables modelling and investigation of effects as:
- Drag on particles
- Various particle densities or/and diameters
- Particle diffusion and saltation
- Particle interactions
- Various restitution effects
- Settling and erosion of particles

Left: Section from a numerical simulation of drifting snow particles around a wind deflector fence on mountain road, using the Lagrangian-Eulerian, particle tracking modelling concept. Red and blue colour indicates high and low wind velocities, respectively (Sundsbø).

Details from simulation of snow surface build ups around a 50% porous Wyoming fence, using the Lagrangian-Eulerian, particle tracking modelling concept (Sundsbø&Hansen, 1997).
Papers of current interest, Lagrangian-Eulerian, particle tracking modelling:
- Sundsbø, P.A. and Hansen, E.W.M., 1997, Modelling and numerical simulation of snowdrift around snow fences, Snow Engineering: Recent Advances, Balkema, ISBN 90-5410-865-7, Proceedings of the 3rd international conference on snow engineering, Sendai, Japan, 353-359.
- Sundsbø, P.A., 1997, Numerical modelling and simulation of snow drift – Application to snow engineering, Doctoral Thesis, ISBN 82-471-0047-9, Norwegian University of Science and Technology, Trondheim.
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