| 求解Burgers方程的一种交替分段隐式算法 |
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| 引用本文： | 王廷春,张鲁明.求解Burgers方程的一种交替分段隐式算法[J].计算物理,2005,22(2):137-142. |
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| 作者姓名： | 王廷春 张鲁明 |
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| 作者单位： | 南京航空航天大学理学院,江苏,南京,210016;南京航空航天大学理学院,江苏,南京,210016 |
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| 摘 要： | 首先提出一个新的求解Burgers方程的差分格式,然后在此差分格式的基础上构造了便于并行计算的交替分段隐格式,并作了线性化稳定性分析.数值结果表明,本方法具有较高的精度,尤适于扩散项系数较小时的计算,且有效避免了数值结果的非物理振荡.
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| 关 键 词： | Burgers方程 并行计算 交替分段隐格式 稳定性 |
| 文章编号： | 1001-246X(2005)02-0137-06 |
| 收稿时间： | 2003-10-17 |
| 修稿时间： | 2003年10月17 |
An Alternating Segment Implicit Method for Burgers Equations |
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| WANG Ting-chun,ZHANG Lu-ming.An Alternating Segment Implicit Method for Burgers Equations[J].Chinese Journal of Computational Physics,2005,22(2):137-142. |
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| Authors: | WANG Ting-chun ZHANG Lu-ming |
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| Institution: | Department of Mathematics, Nanjing University of Aeronautics and Austronautics 210016, China |
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| Abstract: | A two-level implicit scheme for Burgers equations is shown,whose truncation error is O(τ2+h2) (where τ is time step and h is space step).An alternating segment method is proposed and its unconditional linear stability is proved.The new method is free from nonphysical oscillations and suitable for parallel computers.A numerical example shows that the method has good applicability and high accuracy, in particular, it is more accurate when diffusion coefficient is small. |
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| Keywords: | Burgers equation parallel computing alternating segment method stabilty |
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