Mathematical Model Computes Snow Flake Shapes for the First Time

leave a comment »

The Nakaya diagram illustrates which snow crystal forms appear at different temperatures and supersaturations

John W. Barrett, Harald Garcke, Robert Nürnberg
Facetted growth of snow crystals leads to a rich diversity of forms, and exhibits a remarkable sixfold symmetry. Snow crystal structures result from diffusion limited crystal growth in the presence of anisotropic surface energy and anisotropic attachment kinetics.
It is by now well understood that the morphological stability of ice crystals strongly depends on supersaturation, crystal size and temperature.
Until very recently it was very difficult to perform numerical simulations of this highly anisotropic crystal growth.
In particular, obtaining facet growth in combination with dendritic branching is a challenging task. We present numerical simulations of snow crystal growth in two and three space dimensions using a new computational method recently introduced by the authors. We present both qualitative and quantitative computations.
In particular, a linear relationship between tip velocity and supersaturation is observed.
The computations also suggest that surface energy effects, although small, have a larger effect on crystal growth than previously expected.
We compute solid plates, solid prisms, hollow columns, needles, dendrites, capped columns and scrolls on plates. Although all these forms appear in nature, most of these forms are computed here for the first time in numerical simulations for a continuum model.
Read more:  and

Written by physicsgg

February 16, 2012 at 8:28 am


Tagged with

Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.

%d bloggers like this: