| 基于Godunov格式的排水管网水流数值模拟 |
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| 引用本文： | 张大伟,向立云,姜晓明,权锦.基于Godunov格式的排水管网水流数值模拟[J].水科学进展,2021,32(6):911-921. |
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| 作者姓名： | 张大伟 向立云 姜晓明 权锦 |
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| 作者单位： | 中国水利水电科学研究院, 北京 100038 |
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| 基金项目： | 国家重点研发计划资助项目2017YFC1502703中国水利水电科学研究院科研专项资助项目WH0145B022021 |
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| 摘 要： | 为克服基于"LINK-NODE"计算模式的排水管网模型不能细致模拟管道内部水流运动过程的缺陷，采用Preissmann窄缝理论开发完成了一套新的基于Godunov有限体积格式的一维排水管网水动力模型。模型采用HLL近似Riemann解计算单元界面处的数值通量，细致区分了管网节点水位对与其相连接管道的不同影响，并采用严格的质量守恒方程和特征线理论来更新管网节点水位。通过3个经典算例验证了模型能够很好地模拟有压瞬变流和瞬变混合流等复杂管网流态，具有良好的精度和稳定性。将模型应用于陕西省西咸新区天福和园小区实测场次降雨排水过程模拟，取得了理想的计算结果。新研发模型可提供所有计算单元中心和管网节点处的水力要素变化过程，为精细化城市洪涝过程模拟奠定基础。
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| 关 键 词： | 排水管网 瞬变混合流 有限体积法 Godunov格式 Preissmann窄缝法 |
| 收稿时间： | 2021-02-18 |
Numerical simulation of drainage network flows based on Godunov scheme |
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| Affiliation: | China Institute of Water Resources and Hydropower Research, Beijing 100038, China |
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| Abstract: | Conventional drainage network models that use the link-node approach often fail to simulate the detailed internal flow processes in drainage pipes. To address the problem, a one-dimensional drainage network hydrodynamic model based on a Godunov-type finite volume scheme and the Preissmann slot theory was proposed in the present work. The Harten-Lax-van Leer (HLL) approximate Riemann solver was employed in the model to calculate the numerical flux at the cell interfaces, the impacts of the water levels at the nodes of the pipeline on the connected pipes were identified, and the water levels were calculated and updated by the strict mass conservation equation and the theory of characteristics. Verification on three classical computation examples proved that the proposed model achieved accurate and stable performance in simulating pressured transient flows, transient mixed flows, and other complex flow regimes. The model was applied to simulation of rainwater drainage at Tianfuheyuan Community in Xixian New District, Shaanxi, China, and the simulation results agreed with the measured data. The proposed model can be used to identify the hydrodynamic factors at the central node of all computation cells and junctions of the pipeline, and is hence expected to provide a basis for detailed simulation of urban pluvial flooding. |
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