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中文摘要：
为了提高一维河道水流模拟精度,以通量差分裂格式为基础,从波动守恒角度出发,结合限制器和熵修正等数值技术构建了一种理论基础较强且计算稳定的圣维南方程组高精度离散方法.标准的一维溃坝算例表明,该方法在处理含激波流动问题时具有可靠的稳定性;陡坡实验水槽算例验证结果表明,该方法在模拟跨临界流时也具有良好的数值精度.该方法可以作为一维水流模拟的一种有效方法加以应用.
英文摘要：
In order to improve the precision of one-dimensional river models, a high-precision discrete method for the Saint-Venant equations, which has a strong theoretical basis and is stable in computation, was proposed through combination with the numerical techniques of limiter and entropy correction based on the flux difference splitting scheme from the perspective of wave conservation. A case study of one-dimensional dam-break modeling shows that the method is reliable and stable when dealing with shocked flow. The results of verification by an experimental flume with steep slopes show that the method has high precision in simulating transcritical flow. The method is effective and can be used for one- dimensional flow simulation.
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