Curvature and solidification

Journal Article · Fri Feb 01 04:00:00 EST 1985 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(85)90191-3· OSTI ID:5901290

Chorin, A J

A method is presented for finding the osculating circle, and thus the curvature and the normal, of a curve defined by an array of partial volumes. This method is applied, within the framework of an enthalpy formulation, to the solutions of model equations that describe the motion of a front separating ice and supercooled water. For short to moderate times the numerical results agree well with available theory; at longer times a morphological oscillation is observed. Such an oscillation was seen in earlier calculations but is not predicted by linearized stability theory. Some speculations regarding its origin are offered.

• Research Organization: Department of Mathematics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5901290
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 57:3; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
BOUNDARY CONDITIONS
COOLING
DIAGRAMS
ENTHALPY
HYDROGEN COMPOUNDS
ICE
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SOLIDIFICATION
SUBCOOLING
THERMODYNAMIC PROPERTIES
WATER