Author(s): Zhao, J; Ozgen-Xian, I; Liang, D; Wang, T; Hinkelmann, R | Abstract: © 2019 Elsevier B.V. This paper presents novel flux and source term treatments within a Godunov-type finite volume framework for predicting the depth-averaged shallow water flow and sediment transport with enhanced the accuracy and stability. The suspended load ratio is introduced to differentiate between the advection of the suspended load and the advection of water. A modified Harten, Lax and van Leer Riemann solver with the contact wave restored (HLLC) is derived for the flux calculation based on the new wave pattern involving the suspended load ratio. The source term calculation is enhanced by means of a novel splitting-point implicit discretization. The slope effect is introduced by modifying the critical shear stress, with two treatments being discussed. The numerical scheme is tested in five examples that comprise both fixed and movable beds. The model predictions show good agreement with measurement, except for cases where local three-dimensional effects dominate.

中文翻译：

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改进了通量和源项离散化的深度平均非粘性泥沙输运模型

作者：赵，J；Ozgen-Xian, I; 梁，D；王涛；欣克尔曼，R | 摘要：© 2019 Elsevier BV 本文在 Godunov 型有限体积框架内提出了新的通量和源项处理，用于预测深度平均浅水流和沉积物输送，并提高了准确性和稳定性。引入悬浮载荷比以区分悬浮载荷的平流和水的平流。一个修正的 Harten、Lax 和 van Leer Riemann 解算器具有恢复的接触波 (HLLC)，用于基于包含悬浮载荷比的新波形的通量计算。源项计算通过新的分裂点隐式离散化得到增强。斜率效应是通过修改临界剪应力引入的，讨论了两种处理方法。数值方案在包括固定床和移动床的五个例子中进行了测试。除了局部三维效应占主导地位的情况外，模型预测与测量结果非常吻合。