Abstract We propose a coupled model for suspended and bedload sediment transport in the shallow water framework. The model is deduced under hydrostatic pressure assumptions and will not assume any Boussinesq hypothesis. The numerical resolution is carried out in a segregated way. First the underlying system of conservation laws is solved by using a first order path-conservative Riemann solver. Then, the source terms corresponding with the erosion and depositions rates are approximated in a semi-implicit way. The final scheme preserves the positivity of the density. Several numerical experiments were carried out in order to validate the model and the numerical scheme. The results obtained are in good agreement with the experimental data.

中文翻译：

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具有悬浮和床载运输的可移动底部上快速变化的流动的稳健模型：建模和数值方法

摘要 我们提出了浅水框架中悬浮和床载泥沙输运的耦合模型。该模型是在静水压力假设下推导出来的，不会假设任何 Boussinesq 假设。数值分辨率以分离的方式进行。首先，使用一阶路径保守黎曼求解器求解基本守恒定律系统。然后，以半隐式方式逼近与侵蚀和沉积速率对应的源项。最终方案保留了密度的正性。为了验证模型和数值方案，进行了多次数值实验。所得结果与实验数据吻合良好。