Artificial intelligence

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ISSN 2710-1673

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Numerical Analysis of Crystallization Model with Convection

Minenko A.1, Gun’ko S.1
1 Institute of Informatics and Artificial Intelligence of Donetsk National Technical University

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UDC: 517.988
Publication Language: Russian
Stuc. intelekt. 2012; 17(1):17-23

Abstract: The three-dimensional convection Stefan problem in liquid phase is investigated. This problem is described by Navier-Stokes equations. The method for research of this problem, which consists of the solution expansion for series of a small parameter, is offered. In non- stationary case, the decision of corresponding boundary-value tasks for definition of the expansion members is formed as fixed points of operators. Convection influence on the front of crystallization is explored. The method for solution of the conjugation tasks, which take place when studying Stefan problem in space, is also developed.

Keywords: differential equation, free boundary, numerical algorithms, functional, optimization

References:

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  2. Minenko A.S.. Variacionnye zadachi so svobodnoj granicej. K.: Naukova dumka. 2005. 341 s.
  3. Solonnikov V.A.. Izv. AN SSSR. Ser. matem. 1977. 41, № 6. S. 1388-142.

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