| 二维扩散输移问题的一种新的有限体积算法 |
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| 引用本文： | 江春波,杜丽惠.二维扩散输移问题的一种新的有限体积算法[J].水科学进展,2000,11(4):351-356. |
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| 作者姓名： | 江春波 杜丽惠 |
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| 作者单位： | 清华大学水利水电工程系, 北京100084 |
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| 基金项目： | 国家自然科学基金资助项目(59979013)和教育部春晖计划的资助项目。 |
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| 摘 要： | 从空间离散格式上比较了有限元格式与有限体积格式的异同处,证明有限体积格式是有限元格式的一种特例,有限元格式也是一种守恒型格式。并根据有限元格式与有限体积格式的比较,提出了一种新的高精度、稳定性好的有限体积格式。通过模拟非定常的纯对流方程和二维对流扩散方程,证明了有限体积格式的优点。
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| 关 键 词： | 有限体积算法 有限元算法 数值格式 |
| 文章编号： | 1001-6791(2000)04-0351-06 |
| 收稿时间： | 1999-08-17 |
| 修稿时间： | 1999年8月17日 |
A New Finite Volume Method for Two Dimensional Convection-Diffusion Problems |
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| JIANG Chun-bo,DU Li-hui.A New Finite Volume Method for Two Dimensional Convection-Diffusion Problems[J].Advances in Water Science,2000,11(4):351-356. |
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| Authors: | JIANG Chun-bo DU Li-hui |
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| Institution: | Dept. of Hydraulic and Hydropower Eng., Tsinghua University, Beijing 100084, China |
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| Abstract: | The finite element formulation and the finite volume formulation are compared, both formulations are conservative and the finite volume scheme is a special kind of the finite element scheme. A new finite volume scheme is proposed by modifying the time derivative term on a control volume and by using the fractional time step integration. The one dimensional purely convection flow and two dimensional convection-diffusion flow are computed by this scheme, the results are compared with the analytical solution and the finite element simulation, which shows that the present finite volume scheme has good accuracy and stability properties. |
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| Keywords: | finite volume method finite element method numerical scheme |
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