| 二维扩散方程的5点格式有限近似解法 |
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| 引用本文： | 赵明登,李靓亮,李泰儒. 二维扩散方程的5点格式有限近似解法[J]. 武汉大学学报(工学版), 2007, 40(5): 30-33 |
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| 作者姓名： | 赵明登 李靓亮 李泰儒 |
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| 作者单位： | 武汉大学水资源与水电工程科学国家重点实验室,湖北,武汉,430072 |
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| 摘 要： | 提出求解二维扩散方程的曲线网格有限近似解法.对非规则区域定常扩散方程和规则区域非定常扩散方程的计算结果与精确解比较,表明该方法既可以用于求解规则区域矩形网格的扩散问题,又可以用于求解非规则区域曲线网格的扩散问题.最后模拟计算了典型的坝基渗流流场,计算结果与实验结果吻合较好,表明该方法具有计算简便、精度高、适应强等特点.
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| 关 键 词： | 扩散方程 有限近似法 渗流 |
| 文章编号： | 1671-8844（2007）05-0030-04 |
| 修稿时间： | 2006-11-22 |
Finite proximate method with 5 points scheme for two-dimensional diffusion equation |
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| ZHAO Mingdeng,LI Liangliang,LI Tairu. Finite proximate method with 5 points scheme for two-dimensional diffusion equation[J]. Engineering Journal of Wuhan University, 2007, 40(5): 30-33 |
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| Authors: | ZHAO Mingdeng LI Liangliang LI Tairu |
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| Affiliation: | State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China |
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| Abstract: | A finite proximate method of the curvilinear grid is proposed to solve the two-dimensional diffusion equation with 5 points scheme. The comparison of the computational and exact values for both the steady diffusion equation in the irregular region and the unsteady diffusion equation in regular region indicates that the new method can be used for solving the diffusion problem, not only rectangular grid in regular region, but also curvilinear grid in irregular region. Then the typical seepage flow field under the spillway dam is simulated; the computational results are in good agreement with the measured results by electrical analogue method;and it is shown that the method has the characters of simple process, high precision and strong adaptability. |
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| Keywords: | diffusion equation finite proximate method seepage |
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