National Taiwan Ocean University Institutional Repository:Item 987654321/50009
English  |  正體中文  |  简体中文  |  全文笔数/总笔数 : 28603/40634
造访人次 : 4216225      在线人数 : 53
RC Version 4.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜寻范围 进阶搜寻


题名: A four-step time splitting scheme for convection-diffusion equation
作者: R. K. Lin
W. H. Sheu
贡献者: 國立臺灣海洋大學:輪機工程學系
日期: 2003-06
上传时间: 2018-09-07T03:00:01Z
出版者: Numerical Heat Transfer. Part B: Fundamentals
摘要: Abstract: In this article we develop a four-step time splitting scheme for solving the two-dimensional convection-diffusion equation by using a fourth-order-accurate Pade approximation. The resulting temporal scheme includes two explicit equations and two coupled implicit equations. For constructing an equal-order scheme for the explicit equations, we approximate the second derivative terms using the fourth-order-accurate centered scheme. In the approximation of the first-derivative term, it is essential that the fourth-order-accurate scheme takes solutions at the upwind side into favorable consideration. For constructing an efficient scheme for the implicit equations, we apply the alternating direction implicit scheme of Peaceman and Rachford. For the sake of accuracy, in each sweep we apply a three-point, nodally exact, one-dimensional convection-diffusion-reaction (CDR) scheme. As is standard practice, we validate the proposed method by solving several problems that are amenable to exact solutions. Results with good rate of convergence are obtained for the investigated one- and two-dimensional problems.
關聯: 45(3) pp.263-281
显示于类别:[輪機工程學系] 期刊論文


档案 描述 大小格式浏览次数



著作權政策宣告: 本網站之內容為國立臺灣海洋大學所收錄之機構典藏,無償提供學術研究與公眾教育等公益性使用,請合理使用本網站之內容,以尊重著作權人之權益。
網站維護: 海大圖資處 圖書系統組
DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回馈