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首页> 外文期刊>Journal of Scientific Computing >Hyperconcentrated ID Shallow Flows on Fixed Bed with Geometrical Source Term Due to a Bottom Step
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Hyperconcentrated ID Shallow Flows on Fixed Bed with Geometrical Source Term Due to a Bottom Step

机译：底部台阶导致具有几何源项的固定床超浓缩ID浅流

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摘要

Free-surface, two-phase flows constituted by water and a significant concentration of sediments (i.e. hyperconcentrated flows), are often studied under the classical ID shallow-water assumptions. This paper deals with the problem of the numerical simulation of this type of flows in presence of a geometrical source term caused by a discontinuity in the bed. Since we work in the framework of the finite-volume Godunov-type numerical schemes, we focus on the exact and approximated solution to Riemann Problems at cell interfaces with a step-like bed discontinuity. The paper has a twofold aim. First, it provides insights into the properties of the Step Riemann Problems (SRPs), highlighting in particular that a contact wave with special features may develop. Second, it presents a two-step predictor-corrector algorithm for the solution of the SRPs. In the predictor step, a Generalized Roe solver is used in order to provide an estimation of the wave structure arising from the cell-interface, while in the corrector step the exact SRP is solved by means of an efficient iterative procedure. The capabilities of the proposed solver are tested by comparing numerical and exact solutions of some SRPs. 【keyworks】 Bed discontinuity;Shallow Water Equations;Riemann Problems;Nonconservative systems;Generalized Roe solver;Hyperconcentrated flow
机译：通常在经典的ID浅水假设下研究由水和大量沉积物组成的自由面两相流（即超浓缩流）。本文研究了在存在由床层不连续性引起的几何源项的情况下这种流动的数值模拟问题。由于我们在有限体积的Godunov型数值方案的框架内进行工作，因此我们将重点放在具有阶梯状床不连续性的单元界面处的黎曼问题的精确和近似解上。本文有双重目的。首先，它提供了有关步黎曼问题（SRP）性质的见解，特别强调了可能会发展出具有特殊功能的接触波。其次，它提出了用于解决SRP的两步预测器-校正器算法。在预测器步骤中，使用通用Roe求解器来估计由单元界面引起的波结构，而在校正器步骤中，通过有效的迭代过程来求解精确的SRP。通过比较某些SRP的数值解和精确解，测试了所提出的求解器的功能。 【关键工作】床不连续；浅水方程； Riemann问题；非保守系统；广义Roe求解器；超浓缩流

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  • 来源
    《Journal of Scientific Computing》 |2011年第3期|p.319-332|共14页
  • 作者

    L. Begnudelli; G. Rosatti;

  • 作者单位

    University Centre for the Hydrogeological Defence of the Mountain Environment (CUDAM),Department of Civil and Environmental Engineering, University of Trento, via Mesiano 77,38123 Trento Italy;

    University Centre for the Hydrogeological Defence of the Mountain Environment (CUDAM),Department of Civil and Environmental Engineering, University of Trento, via Mesiano 77,38123 Trento Italy;

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