一维非恒定水流特征分裂有限元模型
首发时间:2008-09-16
摘要:本文介绍一维非恒定流特征分裂有限元模型。基于特征分裂有限元方法,得到一维非恒定流Saint-Venant方程组的数值解法。对于半显半隐格式,时间步长取决于距离和流速,而不是波速,消除明渠非恒定流计算分析所受限制。经水槽实验资料和理论解的检验,本方法具有较高的计算效率和计算精度,可对一维恒定流和激波、洪水波等非恒定流进行模拟。还用水槽实验对模型进行验证,计算结果表明本模型具有较高的精度。
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Application of The Characteristic-Based Split Finite Element Model To 1-D Unsteady Flows
Abstract:This paper presents a characteristic-based split finite element algorithm for 1-D unsteady flows. Based on the characteristic-based split finite element method, the numerical model with the Saint-Venant equation is established. In the semi-implicit and explicit scheme, the critical time step depends on both the distance of the adjacent two cross-sections and the flow velocity, not on the wave celerity. The channel networks are divided into branches according to the boundary of the branches connected with outer environment or other branches. This type of channel division accords with flow movement in the channel networks. Thus, the computation of flow in channel networks can be carried out branch by branch, which makes the computation simple. The model is applied to natural channel networks and the good results of the simulation are obtained. It shows that the numerical method has higher accuracy.
Keywords: 1-D unsteady flow channel networks tri-diagonal matrix algorithm characteristic-based split finite element method
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