Шукати за:
Роком видання
Автором
Назвою статті
Numerical Analysis of Crystallization Model with Convection
Повний текст (PDF)
УДК: 517.988
Мова публікації: Російська
Stuc. intelekt. 2012; 17; (1):17-23
Анотація: 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.
Ключові слова: differential equation, free boundary, numerical algorithms, functional, optimization
Посилання:
- Ladyzhenskaja O.A., Solonnikov V.A., Ural’ceva N.N.. Linejnye i kvazilinejnye uravnenija parabolicheskogotipa. M.: Nauka. 1967. 756 s.
- Minenko A.S.. Variacionnye zadachi so svobodnoj granicej. K.: Naukova dumka. 2005. 341 s.
- Solonnikov V.A.. Izv. AN SSSR. Ser. matem. 1977. 41, № 6. S. 1388-142.