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TWO-DIMENSIONAL FINITE VOLUME MODEL FOR SEDIMENT TRANSPORT IN UNSTEADY FLOW

机译:非定常流动中泥沙运移的二维有限体积模型

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This paper presents a two-dimensional (2D) finite volume model that simulates sediment transport in overland and channel flow simultaneously. The model is based on the solutions of 2D shallow water equations coupled with the Exner Equation. The bed load transport rate is calculated as an exponential function of depth-averaged flow velocity. To formulate a Godunov-type cell-centered finite volume method, the 2D domain is discretized using Cartesian cells. The HLL approximate Riemann solver is adopted, and a linear reconstruction is implemented to obtain values of conservative variables at cell edges. The model is applied to the 1D and 2D test cases. The model can satisfactorily reproduce the measured hydrographs and bed profiles for both dry bed and wet bed situations.
机译:本文提出了一个二维(2D)有限体积模型,该模型同时模拟了陆上和河道水流中的泥沙输送。该模型基于二维浅水方程和Exner方程的解。床层负荷输送速率被计算为深度平均流速的指数函数。为了制定Godunov型以细胞为中心的有限体积方法,使用笛卡尔细胞离散2D域。采用HLL近似Riemann求解器,并进行线性重构以获取单元格边缘的保守变量值。该模型将应用于一维和二维测试用例。该模型可以令人满意地再现在干床和湿床情况下测得的水位图和床剖面。

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