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Full-Text Articles in Physical Sciences and Mathematics

Continuum Model Of Faceted Ice Crystal Growth In Cirrus Clouds In 1 Dimension, Ella Slattery Jan 2023

Continuum Model Of Faceted Ice Crystal Growth In Cirrus Clouds In 1 Dimension, Ella Slattery

Summer Research

Ice crystals in cirrus clouds exhibit stable faceted growth and roughening which affects reflectivity. A numerically stable modelling system of partial differential equations representing the thickness of ice surfaces over time may assist in describing these features. A sinusoidal relationship between total thickness and water vapor deposition on the surface of ice crystals was observed experimentally; the modelling equation for this relationship was applied to the system in order to develop a one variable model. The developed one variable models continue to exhibit numerical instabilities prior to a Fourier Transform. Stable limit cycles of ice growth were observed in the …


Does Faceted Ice Growth Follow A Characteristic Pattern, Spencer Racca-Gwozdzik Jan 2023

Does Faceted Ice Growth Follow A Characteristic Pattern, Spencer Racca-Gwozdzik

Summer Research

Under certain heat conditions, ice crystals can form differently from the snowflakes that generally grow. Instead of attaching on the boundaries of a plane of ice, under these conditions, new water molecules will permeate a quasi-liquid layer above the ice that causes them to attach closer to the center of the plane and build up from there. These ice formations are close to cylindrical with patterns of roughness on the sides and top at the micrometer scale. The growth can be modeled with a system of partial differential equations that is similar to a reaction diffusion system. This project tries …