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首页> 外文期刊>Journal of Hydroinformatics >Extending the global gradient algorithm to unsteady flow extended period simulations of water distribution systems
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Extending the global gradient algorithm to unsteady flow extended period simulations of water distribution systems

机译:将全局梯度算法扩展到配水系统的非恒定流扩展周期模拟

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This paper introduces an extension of the Global Gradient Algorithm (GGA) to directly solve unsteady flow problems arising from the presence of variable head water storage devices, such as tanks, in Extended Period Simulations (EPS) of looped water distribution networks (WDN). Such a modification of the original algorithm was motivated by the need to overcome oscillations and instabilities reported by several users of EPANET, a worldwide available package, which uses the GGA to solve the looped WDN equations. The set of partial differential equations describing the time and space behaviour of a water distribution system is here presented. It is shown how an unsteady flow GGA can be derived by simple modifications of the original steady-state GGA. The performances of the new algorithm, referred to as EPS-GGA, are compared with the results provided by EPANET on an extremely simplified example, the solution of which is qualitatively known. As opposed to EPANET which shows significant instabilities, the EPS-GGA is stable under a wide variety of increasing integration time intervals.
机译:本文介绍了全局梯度算法(GGA)的扩展,以直接解决在循环水分配网络(WDN)的扩展周期模拟(EPS)中由于水位可变的蓄水装置(例如水箱)的存在而引起的不稳定流动问题。对原始算法进行这种修改的动机是,需要克服EPANET的几个用户报告的振荡和不稳定性,EPANET是全球可用的软件包,它使用GGA求解循环的WDN方程。这里介绍了一组描述水分配系统的时间和空间行为的偏微分方程。它显示了如何通过对原始稳态GGA的简单修改来得出非稳态流量GGA。在一个极为简化的示例中,将这种称为EPS-GGA的新算法的性能与EPANET提供的结果进行了比较,该示例的解决方案在质量上是已知的。与EPANET表现出明显的不稳定性相比,EPS-GGA在各种增加的积分时间间隔内均保持稳定。

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