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首页> 外文期刊>Water resources research >Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme
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Modeling overland flow and soil erosion on nonuniform hillslopes: A finite volume scheme

机译：非均匀山坡上的土地流和土壤侵蚀模型：有限体积方案

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摘要

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.
机译：本文提出了一个有限体积方案，用于将Saint-Venant方程与多颗粒尺寸的Hairsine-Rose土壤侵蚀模型耦合。提出了一种守恒律-汉考克（MUSCL-汉考克）方法的均衡单调上游中心格式（MUSCL-汉考克），以最小化由动量方程中通量梯度和源项之间的不平衡引起的溶液中的杂散波。强调了处理非常浅的流量和湿/干前沿时数值稳定性的其他标准。数值试验表明，该方案在水和泥沙输送方程的准确性和鲁棒性方面均表现良好。所提出的方案有利于将Hairsine-Rose模型应用于复杂的土壤侵蚀场景，并在不均匀的地形上同时发生相互作用的侵蚀过程。

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  • 来源
    《Water resources research》 |2009年第5期|W05423.1-W05423.11|共11页
  • 作者

    B. C. Peter Heng; Graham C. Sander; Cecil F. Scott;

  • 作者单位

    Department of Civil and Building Engineering, Loughborough University, Epinal Way, Loughborough LEU 3TU, UK;

    Department of Civil and Building Engineering, Loughborough University, Epinal Way, Loughborough LEU 3TU, UK;

    Department of Civil and Building Engineering, Loughborough University, Epinal Way, Loughborough LEU 3TU, UK;

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