| 平面二维水沙模型的特征有限元数值模拟 |
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| 引用本文： | 周兆杰,陈焕祯. 平面二维水沙模型的特征有限元数值模拟[J]. 高等学校计算数学学报, 2007, 29(3): 245-256 |
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| 作者姓名： | 周兆杰 陈焕祯 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014;中科院数学与系统科学研究院系统科学研究所,北京,100080;山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 国家自然科学基金(10271068)，山东省自然科学基金(Y2002A01) |
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| 摘 要： | 1引言水流泥沙数学模型是定量预测水沙运动及河床演变的重要手段,常用于模拟三角洲的形成与发展、淤积区的扩展、淤泥和泥沙输运和沉积而引起的河道的变迁等水利水沙问题.这一模型的数值研究已引起了水动力学工程师们的极大关注,对此问题的细致的研
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| 关 键 词： | 有限元数值模拟 水沙模型 平面二维 水流泥沙数学模型 特征 河床演变 水沙运动 定量预测 |
| 修稿时间： | 2005-08-20 |
A CHARACTERISTIC FINITE ELEMENT SIMULATION FOR CURRENT AND SILT SEDIMENTATION MODEL IN TWO SPACE DIMENSIONS |
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| Zhou Zhaojie,Chen Huanzhen. A CHARACTERISTIC FINITE ELEMENT SIMULATION FOR CURRENT AND SILT SEDIMENTATION MODEL IN TWO SPACE DIMENSIONS[J]. Numerical Mathematics A Journal of Chinese Universities, 2007, 29(3): 245-256 |
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| Authors: | Zhou Zhaojie Chen Huanzhen |
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| Affiliation: | School of Mathematical Science, Shandong Normal University, Jinan 250014; Institute of System Sciences, Chinese Academy of Sciences, Beijing 100080 |
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| Abstract: | In this paper,we consider the characteristic finite element method for current and silt sedimentation model in two space dimensions.The governing equa- tions are uniformly convection-dominat.It is especially diffculty to approximate well by using the finite element method.There,a characteristic finite element method is used of approximate the solutions of the model,the method is good to handle the convection part.However,the first equation of the model is nearly hyperbolic in nature,our analysis shows that the method only approximates the model suboptimally. |
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| Keywords: | characteristic finite element current and silt sedimentation model in two space dimensions inductive argument error estimate. |
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