| 双大Reynolds数问题的混合方法 |
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| 引用本文： | 蔡新.双大Reynolds数问题的混合方法[J].集美大学学报(自然科学版),2006,11(2):136-141. |
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| 作者姓名： | 蔡新 |
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| 作者单位： | 集美大学理学院,福建,厦门,361021 |
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| 摘 要： | 讨论双大Reynolds数问题，首先将解析解分解为光滑部分和奇性部分，对这两部分都做了上界估计；然后将解析解进行2阶渐近展开；最后提出混合算法．混合算法的主要思想是引入过渡点将区域分为粗网格区域和细网格区域，在这些网格区域采用等步长．在细网格区域采用有限元法，在粗网格区域采用迎风差分格式．混合算法结合了渐近解、数值解和BVT法的优势，是一个实用、有效的算法。
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| 关 键 词： | 双大Reynolds数 有限元法 迎风差分格式 渐近展开 不等距网格 |
| 文章编号： | 1007-7405（2006）02-0136-06 |
| 收稿时间： | 2005-09-19 |
| 修稿时间： | 2005年9月19日 |
Mixed Method for ODE with Two Big Reynolds Numbers |
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| CAI Xin.Mixed Method for ODE with Two Big Reynolds Numbers[J].the Editorial Board of Jimei University(Natural Science),2006,11(2):136-141. |
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| Authors: | CAI Xin |
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| Abstract: | ODE with two big Reynolds numbers is discussed.The solution is decomposed into the smooth component and the singular component.The upper bounds of both the smooth component and the singular component are studied.Asymptotic solution is derived next.Mixed method is presented.Transition points are introduced so that the interval is divided into different subintervals: coarse mesh subinterval and fine mesh subinterval.Equidistant mesh partition is applied in each subinterval.Finite element method is used in fine mesh subinterval,while upwind difference method is used in coarse mesh subinterval.The new method has advantage of asymptotic solution,numerical solution and BVT method.It is useful and efficient in practical application. |
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| Keywords: | two big Reynolds numbers finite element method upwind difference method asymptotic expansion non-equidistant mesh partition |
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