[1]郑兴华.二维对流扩散方程的AGE方法[J].华侨大学学报(自然科学版),2000,21(1):11-15.[doi:10.3969/j.issn.1000-5013.2000.01.003]
　Zheng Xinghua.Alternating Group Explicit Method for Solving Two Dimensional Convection-Diffusion Equation[J].Journal of Huaqiao University(Natural Science),2000,21(1):11-15.[doi:10.3969/j.issn.1000-5013.2000.01.003]
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二维对流扩散方程的AGE方法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第21卷
期数:
2000年第1期
页码:
11-15
栏目:
出版日期:
2000-01-20

文章信息/Info

Title:
Alternating Group Explicit Method for Solving Two Dimensional Convection-Diffusion Equation
文章编号:
1000-5013(2000)01-0011-05
作者:
郑兴华
福建实达电脑公司, 福州350002
Author(s):
Zheng Xinghua
Fujian Start Computer Co. Ltd., 350002, Fuzhou
关键词:
对流扩散方程;  交替分组显式方法;  Samarskii格式
Keywords:
convection diffusion equation;  alternating group explicit method;  Samarskii scheme
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2000.01.003
摘要:
将求解二维对流扩散方程的 Samarskii型差分格式,改造成一个交替分组显式 (AGE)格式 .该格式是绝对稳定的,并具有明显的并行性质 .最后通过数值试验,将数值结果与解析解用立体图形进行比较 .结果表明,本方法具有良好的稳定性和较高的计算精度
Abstract:
An alternating group explicit (AGE) scheme is constructed on the basis of Samarskii difference scheme for solving two dimensional convection diffusion equation. The AGE scheme is absolutely stable and is imbued with distinct parallelism.By way of numerical experiment, the numerical results are compared with three dimensional stereogram for the use of analytical solution. The results indicate that the method has a good stability and a higher computational accuracy.

参考文献/References:

[1] Zeng Wenping. A group explicit method of sauly’ev type for solving diffusion-convection equation [A]. 新加坡:新加坡理工大学出版社, 1997.86-91.
[2] Evans D J, Abdulah A R B. The group explicit method for the solution of Burgers equation [J]. Computing, 1984.293-253.doi:10.1007/BF02243575.
[3] Evans D J, Sahimi M S. The numerical solution of Burger’s equation by the alternating group explieit(AGE)method [J]. International Journal of Computer Mathematics, 1989.39-64.doi:10.1080/00207168908803747.
[4] 王子丁, 陆金甫, 肖世江. Burgers方程的一个分组显式格式 [J]. 计算物理, 1993(4):479-487.
[5] Noye B J, Tan H H. Finit difference methods for solving the two-dimensional advection-diffusion equation [J]. International Journal for Numerical Methods in Fluids, 1989.75-98.doi:10.1002/fld.1650090107.

相似文献/References:

[1]曾文平.对流-扩散方程的两类交替方法之比较[J].华侨大学学报(自然科学版),1999,20(2):118.[doi:10.11830/ISSN.1000-5013.1999.02.0118]
　Zeng Wenping.Comparison of Two Classes of Alternating Methods for Solving Convection Diffusion Equation[J].Journal of Huaqiao University(Natural Science),1999,20(1):118.[doi:10.11830/ISSN.1000-5013.1999.02.0118]

更新日期/Last Update: 2014-03-23