| 二维浅水流动数学模型的多解性评价 |
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| 引用本文： | 李占松,王玲玲,朱士江. 二维浅水流动数学模型的多解性评价[J]. 河南科学, 2009, 27(1): 64-66 |
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| 作者姓名： | 李占松 王玲玲 朱士江 |
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| 作者单位： | 1. 郑州大学,水利与环境学院,郑州,450001
2. 东北农业大学水利与建筑学院,哈尔滨,150030 |
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| 基金项目： | 河南省教育厅自然科学研究计划项目 |
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| 摘 要： | 二维浅水流动的多解性现象经常呈现于实际工程中．数值模拟业已成为二维浅水流动分析的主要手段．所采用的控制方程也必须能正确反映水流运动在该方面的本质．与零方程模型相应的含紊动粘性项二维浅水方程组具有多解性；无对流项和紊动粘性项的二维浅水方程组解具有唯一性；有对流项而无紊动粘性项的二维浅水方程组只有离散时引入人工粘性项解才是有限的；与双方程模型相应的含紊动粘性项二维浅水方程组具有多解性也是必然的．
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| 关 键 词： | 浅水流动 数学模型 多解性 |
Multiplicity Assesment of Mathematcial Model of Two Dimensional Shallow Water Flow |
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| Li Zhansong,Wang Lingling,Zhu Shijiang. Multiplicity Assesment of Mathematcial Model of Two Dimensional Shallow Water Flow[J]. Henan Science, 2009, 27(1): 64-66 |
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| Authors: | Li Zhansong Wang Lingling Zhu Shijiang |
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| Affiliation: | 1. School of Water Conservancy and Envirenmetal Engineering;Zhengzhou University;Zhengzhou 450001;China;2. School of Water Conservancy and Building Engineering;Northeast Agricultural University;Harbin 150030;China |
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| Abstract: | The multiplicity instances of two dimensional shallow water flow often exist in the practice projects. Numerical simulation has been already the main method to solve the two dimensional shallow water flow. The governing equations should reflect the essence of multiplicity of water flow. The two dimensional shallow water equations with turbulent viscosity term,which are corresponding to zero equation models,have multiple solutions; The two dimensional shallow water equations which include neither convective ... |
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| Keywords: | shallow water flow mathematical model multiplicity |
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