| 化学工程中分形问题的正交配置法 |
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| 引用本文： | 刘福生,马正飞,王晟.化学工程中分形问题的正交配置法[J].计算物理,2001,18(3):235-240. |
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| 作者姓名： | 刘福生 马正飞 王晟 |
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| 作者单位： | 1. 南京林业大学基础部, 江苏 南京 210037;2. 南京化工大学化学工程系, 江苏 南京 210009 |
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| 摘 要： | 将欧氏空间中的正交配置法扩展到分数维的情况,并将它应用于化学工程中具有分形结构的反应扩散问题的计算.并将计算结果与理论解的相应结果作了对比.
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| 关 键 词： | 分形 正交配置法 反应扩散问题 数值模拟 |
| 文章编号： | 1001-246(2001)03-0235-06 |
| 收稿时间： | 1999-11-01 |
| 修稿时间： | 1999年11月1日 |
THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE |
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| LIU Fu-sheng,MA Zheng-fei,WANG Sheng.THE METHOD OF ORTHOGONAL COLLOCATION USED IN CHEMICAL ENGINEERING WITH FRACTAL STRUCTURE[J].Chinese Journal of Computational Physics,2001,18(3):235-240. |
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| Authors: | LIU Fu-sheng MA Zheng-fei WANG Sheng |
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| Institution: | 1. The Basic Course, Nanjing Forestry University, Nanjing 210037, P R China;2. Department of Chemical Engineering, Nanjing University of Chemical Technology, Nanjing 210009, P R China |
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| Abstract: | The method of orthogonal collocation in Euclid's space has been extended to fractal space,with which the numerical computation of reaction-diffusion problem in chemical engineering has been also performed.The comparisons between calculated results and related analytical solutions show that this extended method gives the same results as theoretical ones,and permits to be used as a powerful numerical tool for the detailed analysis of chemical processes with fractal structure. |
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| Keywords: | fractal the method of orthogonal collocation reaction-diffusion problem mumerical simulation |
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