A three-dimensional finite-volume/Newton method for thermal-capillary problems

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题名:	A three-dimensional finite-volume/Newton method for thermal-capillary problems
作者:	Lan,CW;Liang,MC
贡献者:	化學工程與材料工程學系
关键词:	CZOCHRALSKI CRYSTAL-GROWTH;HEAT-TRANSFER;FLUID-FLOW;INTERFACE SHAPES;LINEAR-SYSTEMS;NEWTON METHOD;STEADY-STATE;ZONE;SURFACE
日期:	1997
上传时间:	2010-06-29 17:30:20 (UTC+8)
出版者:	中央大學
摘要:	A three-dimensional finite-volume/Newton method is developed for solving thermal-capillary problems in materials processing. The conductive heat transfer, melt-solid interfaces, the melt-gas free surface, and the shape of grown material are calculated simultaneously. The implementation of interface and free surface boundary conditions, as well as co-ordinate transformation, is described in detail. During the Newton iterations, due to the complexity of the problem, the Jacobian matrix is estimated by finite differences, and the linear equations are solved by the ILU(0) preconditioned GMRES iterative method. Nearly quadratic convergence of the scheme is achieved. Sample calculations for floating-zone and Stepanov crystal growth are illustrated.
關聯:	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
显示于类别:	[化學工程與材料工程研究所] 期刊論文

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