摘要
采用显式通量差分裂格式离散圣维南方程组,通过特征线方式处理边界;在局部离散中引入跨临界流熵修正和TVD限制器,以提高模型精度并保证模拟稳定性,最终构建了基于显式有限体积法的一维河网水流模型。经典算例验证表明,所建立的模型能够处理具有激波的跨临界等复杂流态;模型应用于长江南京八卦洲河段,水位和流量的验证表明该模型能够应用于实际的河网,并具有较高的精度,为显式离散方法应用于河网模型提供了一种思路。
A one-dimensional river network model was constructed by discretization of Saint-Venant equations with explicit flux-difference splitting scheme and dealing border with characteristic line method. Meanwhile, the modeling accuracy and stability are enhanced with the application of entropy correction and total variation diminishing （ TVD ） limiter to local discretion. In a classical numerical example, the model shows its ability in capturing complex flow conditions like trans-critical flow with shock waves. Being applied in the Baguazhou section of the Yangtze River, the model shows its performance in terms of water level and flux with higher accuracy, which is suitable for the real river network. To sum up, the model discretion introduces a new idea about explicit discretion into river network model.
出处
《水利水电科技进展》
CSCD
北大核心
2015年第4期6-9,43,共5页
Advances in Science and Technology of Water Resources
基金
武汉大学水资源与水电工程科学国家重点实验室开放基金(2013B105)
国家自然科学基金(41201030)
关键词
一维河网模型
有限体积法
显式离散
通量差分裂
圣维南方程组
one-dimensional river network model
finite volume method
explicit discretion
flux difference split
Saint-Venant equations
