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Modeling of directional solidification in 2D and 3D cases

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Abstract

A method of numerical solution of the directional solidification problem for sharp interfaces is developed. The cellular-structure development is analyzed by calculating the concentration fields and consecutive profiles of the solid-liquid interface. The anisotropy of growth rate and surface tension is taken into account. The wavelength ranges in which distortions develop are determined and the dependences of the rate of increase in the distortion amplitude on the wavelength are found. The results obtained for the 2D and 3D cases are compared with the known experimental and calculated data.

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Ovrutsky, A.M., Rasshchupkyna, M.S. Modeling of directional solidification in 2D and 3D cases. Crystallogr. Rep. 53, 1208–1213 (2008). https://doi.org/10.1134/S1063774508070201

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  • DOI: https://doi.org/10.1134/S1063774508070201

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