Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme
Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme
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DOI：
10.1029/2008wr007502
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发表时间：
2009-05
影响因子：
5.4
通讯作者：
B. Heng;G. Sander;C. Scott
中科院分区：
文献类型：
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作者：
B. Heng;G. Sander;C. Scott
本文提出了一种耦合Saint‐Venant方程和多粒径Hairsine‐Rose土壤侵蚀模型的有限体积格式。提出了一种适用于守恒律汉考克的平衡单调上游中心格式（MUSCL-汉考克），该格式可以有效地减小由于动量方程中通量梯度项和源项之间的不平衡而引起的解中的伪波.处理非常浅的流动和湿/干锋时，数值稳定性的其他标准突出显示。数值试验表明，该格式对水沙输运方程具有较好的精度和鲁棒性。所提出的方案有利于应用的Hairsine-Rose模型的土壤侵蚀与并发的相互作用的侵蚀过程在一个不均匀的地形复杂的场景。
This paper presents a finite volume scheme for coupling the Saint‐Venant equations with the multiparticle size class Hairsine‐Rose soil erosion model. A well‐balanced monotone upstream‐centered schemes for conservation laws‐Hancock (MUSCL‐Hancock) method is proposed to minimize spurious waves in the solution arising from an imbalance between the flux gradient and the source terms in the momentum equation. Additional criteria for numerical stability when dealing with very shallow flows and wet/dry fronts are highlighted. Numerical tests show that the scheme performs well in terms of accuracy and robustness for both the water and sediment transport equations. The proposed scheme facilitates the application of the Hairsine‐Rose model to complex scenarios of soil erosion with concurrent interacting erosion processes over a nonuniform topography.