A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 > Item 987654321/51184

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: http://ir.lib.ncu.edu.tw/handle/987654321/51184

题名:	A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers
作者:	Hsieh,PW;Shih,Y;Yang,SY
贡献者:	數學系
关键词:	ELEMENT-METHOD
日期:	2011
上传时间:	2012-03-27 18:24:19 (UTC+8)
出版者:	國立中央大學
摘要:	In this paper we propose a development of the finite difference method, called the tailored finite point method, for solving steady magnetohydrodynamic (MHD) duct flow problems with a high Hartmann number. When the Hartmann number is large, the MHD duct flow is convection-dominated and thus its solution may exhibit localized phenomena such as the boundary layer. Most conventional numerical methods can not efficiently solve the layer problem because they are lacking in either stability or accuracy. However, the proposed tailored finite point method is capable of resolving high gradients near the layer regions without refining the mesh. Firstly, we devise the tailored finite point method for the scalar inhomogeneous convection-diffusion problem, and then extend it to the MHD duct flow which consists of a coupled system of convection-diffusion equations. For each interior grid point of a given rectangular mesh, we construct a finite-point difference operator at that point with some nearby grid points, where the coefficients of the difference operator are tailored to some particular properties of the problem. Numerical examples are provided to show the high performance of the proposed method.
關聯:	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
显示于类别:	[數學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
index.html		0Kb	HTML	701	检视/开启

在NCUIR中所有的数据项都受到原著作权保护.

社群 sharing

数据加载中.....