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

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Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/26535

Title:	A three-dimensional finite-volume/Newton method for thermal-capillary problems
Authors:	Lan,CW;Liang,MC
Contributors:	化學工程與材料工程學系
Keywords:	CZOCHRALSKI CRYSTAL-GROWTH;HEAT-TRANSFER;FLUID-FLOW;INTERFACE SHAPES;LINEAR-SYSTEMS;NEWTON METHOD;STEADY-STATE;ZONE;SURFACE
Date:	1997
Issue Date:	2010-06-29 17:30:20 (UTC+8)
Publisher:	中央大學
Abstract:	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.
Relation:	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Appears in Collections:	[National Central University Department of Chemical & Materials Engineering] journal & Dissertation

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