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Comparative analysis of overland flow models using finite volume schemes

机译：使用有限体积方案的陆上流模型比较分析

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摘要

In this paper attention is first focused on a comparative analysis of three hydraulic models for overland flow simulations. In particular, the overland flow was considered as a 2D unsteady flow and was mathematically described using three approaches (fully dynamic, diffusive and kinematic waves). Numerical results highlighted that the differences among the simulations were not very important when the simulations referred to commonly used ideal tests found in the literature in which the topography is reduced to plane surface. Significant differences were observed in more complicated tests for which only the fully dynamic model was able to provide a good prediction of the observed discharges and water depths. Then, attention is focused on the fully dynamic model and in particular on the analysis of two numerical schemes (TVD-MacCormack and HLL) and the influence of the grid size. Numerical tests carried out on irregular topography show that, as the grid size decreases, the performance of the HLL scheme becomes closer to that of the TVD-MacCormack scheme in shorter computational times at least for high rainfall intensity.
机译：本文首先将注意力集中在对三种用于陆上水流模拟的水力模型的比较分析上。特别是，陆上流动被认为是二维非定常流动，并使用三种方法（全动态波，扩散波和运动波）在数学上进行了描述。数值结果突显出，当模拟参考文献中常用的理想测试时，模拟之间的差异不是很重要，在理想测试中，地形被缩小为平面。在更复杂的测试中观察到了显着差异，只有完全动态的模型才能对观察到的排放量和水深提供良好的预测。然后，注意力集中在全动态模型上，尤其是对两个数值方案（TVD-MacCormack和HLL）的分析以及网格大小的影响。在不规则地形上进行的数值测试表明，随着网格尺寸的减小，至少对于高降雨强度，HLL方案的性能在更短的计算时间内变得更接近TVD-MacCormack方案。

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  • 来源
    《Journal of Hydroinformatics》 |2012年第1期|p.122-135|共14页
  • 作者

    P. Costabile; C. Costanzo; F. Macchione;

  • 作者单位

    Laboratorio di Modellistica numerica per la Protezione Idraulica del Territorio (LAMPIT), Dipartimento di Difesa del Suolo, University of Calabria, Italy;

    Laboratorio di Modellistica numerica per la Protezione Idraulica del Territorio (LAMPIT), Dipartimento di Difesa del Suolo, University of Calabria, Italy;

    Laboratorio di Modellistica numerica per la Protezione Idraulica del Territorio (LAMPIT), Dipartimento di Difesa del Suolo, University of Calabria, Italy;

  • 收录信息 美国《科学引文索引》(SCI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    diffusive wave; HLL scheme; kinematic wave; overland flow; TVD-maccormack scheme; 2D shallow water equations;

    机译：扩散波HLL方案;运动波陆流TVD-maccormack方案;二维浅水方程;

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