Hydrodynamics of Turbid Underflows. I: Formulation and Numerical Analysis
Hydrodynamics of Turbid Underflows. I: Formulation and Numerical Analysis
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DOI：
10.1061/(asce)0733-9429(1999)125:10(1006
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发表时间：
1999-10
影响因子：
2.4
通讯作者：
Scott F. Bradford;N. Katopodes
中科院分区：
文献类型：
--
作者：
Scott F. Bradford;N. Katopodes
本文建立了一个非恒定的、二维的、单层的、深度平均的、由非均匀的、非粘性的泥沙驱动的浑浊底流的数学模型。数值解是通过一个高分辨率，总变差递减，有限体积的数值模型，这是众所周知的捕捉尖锐的前线准确。守恒律的单调上游格式与预估-校正时间步相结合，提供了一个二阶精确解。实施磁通限制以防止在不连续性附近产生寄生振荡。该模型还具有跟踪的演变和发展的一个可侵蚀的床，由于泥沙夹带和沉积的能力。这是通过在每个时间步长求解床沙守恒方程，独立的水动力方程，预测校正方法。通过与均匀和非均匀泥沙驱动的水流实验数据的比较，验证了该模型的正确性。
A mathematical model is developed for unsteady, two-dimensional, single-layer, depth-averaged turbid underflows driven by nonuniform, noncohesive sediment. The numerical solution is obtained by a high-resolution, total variation diminishing, finite-volume numerical model, which is known to capture sharp fronts accurately. The monotone upstream scheme for conservation laws is used in conjunction with predictor-corrector time-stepping to provide a second-order accurate solution. Flux-limiting is implemented to prevent the development of spurious oscillations near discontinuities. The model also possesses the capability to track the evolution and development of an erodible bed, due to sediment entrainment and deposition. This is accomplished by solving a bed-sediment conservation equation at each time step, independent of the hydrodynamic equations, with a predictor-corrector method. The model is verified by comparison to experimental data for currents driven by uniform and nonuniform sediment.