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A Duality Method for Sediment Transport Based on a Modified Meyer-Peter & Miiller Model

机译:基于修正的Meyer-Peter&Miiller模型的泥沙输运双重性方法

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This article focuses on the simulation of the sediment transport by a fluid in contact with a sediment layer. This phenomena can be modelled by using a coupled model constituted by a hydrodynamical component, described by a shallow water system, and a morphodynamical one, which depends on a solid transport flux given by some empirical law. The solid transport discharge proposed by Meyer-Peter & Miiller is one of the most popular but it has the inconvenient of not including pressure forces. Due to this, this formula produces numerical simulations that are not realistic in zones where gravity effects are relevant, e.g. advancing front of the sand layer. Moreover, the thickness of the sediment layer is not taken into account and, as a consequence, mass conservation of sediment may fail. Fowler et al. proposed a generalization that takes into account gravity effects as well as the thickness of the sediment layer which is in better agreement with the physics of the problem. We propose to solve this system by using a path-conservative scheme for the hydrodynamical part and a duality method based on Bermúdez-Moreno algorithm for the morphodynamical component. 【keyworks】 Sediment transport;Shallow water;Finite volume methods;Path-conservative schemes;Duality method;Numerical modeling
机译:本文着重于与沉积物层接触的流体对沉积物传输的模拟。这种现象可以通过使用由浅水系统描述的流体动力学分量和形态动力学的耦合模型来建模,该耦合模型取决于一些经验定律给出的固体输送通量。 Meyer-Peter&Miiller提出的固体运输排放是最受欢迎的排放之一,但不包括压力不便。因此,此公式产生的数值模拟在重力影响相关的区域(例如,重力场)不现实。向前推进砂层。此外,未考虑沉积物层的厚度,因此,沉积物的质量守恒可能会失败。福勒等。提出了一种综合考虑重力影响以及沉积层厚度的概括,与问题的物理原理更好地吻合。我们建议通过使用流体力学部分的路径守恒方案和基于Bermúdez-Moreno算法的形态动力学分量的对偶方法来解决该系统。 【主要工作】泥沙输移;浅水;有限体积法;路径守恒方案;对偶法;数值模拟

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  • 来源
    《Journal of Scientific Computing》 |2011年第3期|p.258-273|共16页
  • 作者单位

    Dpto. de Matemáticas, Universidad de Córdoba, Campus de Rabanales, 14071 Còrdoba, Spain;

    Dpto. Análisis Matemático, Universidad de Málaga, Campus Teatinos s, 29071 Málaga, Spain;

    Dpto. Análisis Matemático, Universidad de Málaga, Campus Teatinos s, 29071 Málaga, Spain;

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