Modified Saint-Venant equations for flow simulation in tidal rivers
Modified Saint-Venant equations for flow simulation in tidal rivers
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DOI：
10.3882/j.issn.1674-2370.2012.01.004
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发表时间：
2012-03
影响因子：
4
通讯作者：
Xiaoqin Zhang;W. Bao
中科院分区：
文献类型：
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作者：
Xiaoqin Zhang;W. Bao
摘要潮汐河流水流在潮汐作用下周期性地向上游或下游传播。基于圣维南方程的水动力学模型（SVN模型）被广泛用于潮汐河流的模拟。在SVN模式中，引入了一个力修正项来表示潮汐效应，该修正项由流速和潮位变化率组成。基于牛顿第二定律，导出了含有修正项的动量方程。将改进的动量方程与连续性方程相结合，建立了适用于感潮河流的改进SVN模型（ISVN模型）。对钱塘江感潮河段的模拟结果表明，ISVN模型的模拟效果优于SVN模型。结果表明，考虑潮汐影响的修正力是合理的，ISVN模型为SVN模型在潮汐河流水流模拟中的应用提供了适当的改进。
Abstract Flow in tidal rivers periodically propagates upstream or downstream under tidal influence. Hydrodynamic models based on the Saint-Venant equations (the SVN model) are extensively used to model tidal rivers. A force-corrected term expressed as the combination of flow velocity and the change rate of the tidal level was developed to represent tidal effects in the SVN model. A momentum equation incorporating with the corrected term was derived based on Newton's second law. By combing the modified momentum equation with the continuity equation, an improved SVN model for tidal rivers (the ISVN model) was constructed. The simulation of a tidal reach of the Qiantang River shows that the ISVN model performs better than the SVN model. It indicates that the corrected force derived for tidal effects is reasonable; the ISVN model provides an appropriate enhancement of the SVN model for flow simulation of tidal rivers.