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| 改进黎曼求解器的尖底断面河道水流模拟方法研究 |
| An Improved Riemann solver for river flow with a sharp-bottomed cross-section |
| 投稿时间：2024-10-16 修订日期：2024-11-28 |
| DOI： |
| 中文关键词: 一维水动力模型，干湿界面，黎曼求解器，不规则河道断面，数值模拟 |
| 英文关键词:one-dimensional hydrodynamic model, sharp-bottomed cross-section, Riemann solver |
| 基金项目:沂沭河流域超标准洪水防控能力提升措施建议(JZ0145B042024) |
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| 中文摘要: |
| 基于黎曼求解器的河道一维水动力模拟方法,由于具有鲁棒性强、易实现等特点,已经成为河道水流模拟的主流方法。传统黎曼求解器在模拟包含水跃的复杂几何形状河道时会出现数值不平衡和流量解不准确的问题,为了将黎曼求解器应用于形状不规则的自然河道,已有学者进行了大量的研究和改进。但现有的改进方法,在模拟尖底河道干湿过渡时仍然存在“通量计算受阻”的问题。针对这一问题,在通量求解中用一个水位分段函数描述水面宽度和过水面积,求解干湿交替界面处的特征水位和通量,提出了一种新的黎曼求解器改进方法。实验算例和自然河道算例验证结果表明,新的改进方法能够有效解决尖底河道干湿边界交替处“通量计算受阻”的问题,显著提高了基于黎曼求解器的河道一维水动力模拟方法的稳定性和通用性。 |
| 英文摘要: |
| One-dimensional hydrodynamic numerical methods based on the Riemann solver have become dominant methods for river flow simulation because of its strong robustness and easy implementation. The original Riemann solver will appear the problem of numerical imbalance when the river has a complex geometric channel and the flow includes a hydraulic jump. A lot of improvements have been made in order to apply the original Riemann solver to natural rivers with irregular cross sections. However, improved methods have been faced with a problem of flux blocked at the dry-wet interface of sharp-bottomed rivers. In order to cope with this problem, a novel improved Riemann solver is proposed by using a water level piecewise function, which describes the water surface width and water passing area, to solve the characteristic water level and flux at the dry-wet alternating interface. Results of numerical cases and natural river cases show that the improved method can effectively solve “the flux blocked problem” and significantly improve the stability and applicability of the one-dimensional hydrodynamic simulation method based on Riemann solver for natural rivers. |
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