A two-dimensional problem of an interaction of the isolated cell in the solution with the ice crystallization front was considered by Carin and Jaeger using the arbitrary Lagrangian—Eulerian method on the regular and unstructured triangular grids [154, 435] and by Mao et al. [623, 1009] using the interface fitting method on the fixed Cartesian grids. A trapping of the cell by the moving crystallization front was considered in the first papers while Mao et al. simulate the behavior of the cylindrical crystallization front that is coaxial to the cell located in the center (to resolve the front, a rather large computational grid — up to 250,000 elements — was needed). The change of the cell volume due to dehydration was taken into account in the cited papers but its shape (cylindrical in the two-dimensional formulation) was deemed invariant.
KeywordsHeat Transfer Entropy Generation Mushy Zone Macroscopic Model Goal Function
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