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Two-dimensional shock capturing numerical simulation of shallow water flow applied to dam break analysis

机译:应用于溃坝分析的浅层水流二维冲击捕获数值模拟

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摘要

With the advances in the computing world, computational fluid dynamics (CFD) is becoming more and more critical tool in the field of fluid dynamics. In the past few decades, a huge number of CFD models have been developed with ever improved performance. In this research a robust CFD model, called Riemann2D, is extended to model flow over a mobile bed and applied to a full scale dam break problem. Riemann2D, an object oriented hyperbolic solver that solves shallow water equations with an unstructured triangular mesh and using high resolution shock capturing methods, provides a generic framework for the solution of hyperbolic problems. The object-oriented design of Riemann2D has the flexibility to apply the model to any type of hyperbolic problem with the addition of new information and inheriting the common components from the generic part of the model. In a part of this work, this feature of Riemann2D is exploited to enhance the model capabilities to compute flow over mobile beds. This is achieved by incorporating the two dimensional version of the one dimensional non-capacity model for erodible bed hydraulics by Cao et al. (2004). A few novel and simple algorithms are included, to track the wet/dry and dry/wet fronts over abruptly varying topography and stabilize the solution while using high resolution shock capturing methods. The negative depths computed from the surface gradient by the limiters are algebraically adjusted to ensure depth positivity. The friction term contribution in the source term, that creates unphysical values near the wet/dry fronts, are resolved by the introduction of a limiting value for the friction term. The model is validated using an extensive variety of tests both on fixed and mobile beds. The results are compared with the analytical, numerical and experimental results available in the literature. The model is also tested against the actual field data of 1957 Malpasset dam break. Finally, the model is applied to simulate dam break flow of Warsak Dam in Pakistan. Remotely sensed topographic data of Warsak dam is used to improve the accuracy of the solution. The study reveals from the thorough testing and application of the model that the simulated results are in close agreement with the available analytical, numerical and experimental results. The high resolution shock capturing methods give far better results than the traditional numerical schemes. It is also concluded that the object oriented CFD model is very easy to adapt and extend without changing the generic part of the model.
机译:随着计算世界的进步,计算流体力学(CFD)成为流体动力学领域中越来越重要的工具。在过去的几十年中,已经开发了性能不断提高的大量CFD模型。在这项研究中,一个强大的CFD模型(称为Riemann2D)被扩展为对移动床上的流动进行建模,并应用于全尺寸溃坝问题。 Riemann2D是一种面向对象的双曲线求解器,它使用非结构化三角形网格并使用高分辨率震荡捕获方法来求解浅水方程,为解决双曲线问题提供了通用框架。 Riemann2D的面向对象设计具有灵活性,可以通过添加新信息并从模型的通用部分继承通用组件,将模型应用于任何类型的双曲线问题。在这项工作的一部分中,利用Riemann2D的这一功能来增强模型功能,以计算移动床上的流量。这是通过合并Cao等人针对可侵蚀床液压系统的一维非容量模型的二维版本而实现的。 (2004)。其中包括一些新颖且简单的算法,以在突变的地形上跟踪湿/干和干/湿锋,并在使用高分辨率震动捕获方法的同时稳定溶液。限制器根据表面梯度计算的负深度进行代数调整,以确保深度正值。通过引入摩擦项的极限值可以解决源项中的摩擦项贡献,该贡献在湿/干前沿附近产生非物理值。该模型已通过固定床和移动床上的多种测试验证。将结果与文献中提供的分析,数值和实验结果进行比较。还针对1957年Malpasset大坝溃坝的实际现场数据对模型进行了测试。最后,将该模型用于模拟巴基斯坦Warsak大坝的溃坝水流。使用Warsak大坝的遥感地形数据来提高解决方案的准确性。该研究从模型的全面测试和应用中发现,仿真结果与可用的分析,数值和实验结果非常吻合。高分辨率的震动捕获方法比传统的数值方案具有更好的结果。还得出结论,面向对象的CFD模型非常容易适应和扩展,而无需更改模型的通用部分。

著录项

  • 作者

    Khan Fayaz A;

  • 作者单位
  • 年度 2010
  • 总页数
  • 原文格式 PDF
  • 正文语种 English
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