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Mathematical Modeling of Snow Crystal Growth

PDE and Applied Math Seminar

Speaker: Janko Gravner, UC Davis
Location: 1147 MSB
Start time: Tue, Nov 17 2009, 4:10PM

The talk will describe a mesoscopic algorithm for snow crystal formation based on physical principles. The model combines diffusion limited growth with anisotropic attachment kinetics. Aggregation is regulated by an idealized semi-liquid layer. Our scheme, motivated by a particle system representation of a suitable Stefan problem, attempts to mimic the snowflake's hydrodynamics. This is apparently the first approach that successfully captures most aspects of real snow crystal growth. This is joint work with David Griffeath (Univ. of Wisconsin).