Dynamics of snow avalanches and mathematical models.

Snow Avalanches, Ice Avalanches and Glacier Surges

Simulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models

Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...

Mechanics of snow avalanches

The main problems of mechanics of snow avalanches are those of: (1) predicting avalanches, (2) avalanche motion, (3) the action of an avalanche upon obstacles, (4) the air wave, (5) the slow moving snow cover and its interaction with protective constructions and (6) the problem of artificial release of avalanches. This paper surveys the modern state of scientific knowledge about the nature of p...

Frontal dynamics of powder snow avalanches Supplementary online material

Its gradient along a streamline is “favorable” (∂pus/∂s) < 0 for y > b′ − x, and “adverse” (∂pus/∂s) > 0 for y < b′ − x. On the interface where ψ = 0 and r = b′θ/ sin θ, pus(ψ = 0) vanishes at x = b′/2 ahead of the source (θ ' 10π/27), and is always < 0 downstream of that point. Because the interface has favorable pressure gradient until θ = θf ' 13π/20, and adverse ∀θ > θf , it is convenient t...

Opening angle of loose-snow avalanches