• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Hydrology >Cellular Automata and Finite Volume solvers converge for 2D shallow flow modelling for hydrological modelling
【24h】

Cellular Automata and Finite Volume solvers converge for 2D shallow flow modelling for hydrological modelling

机译：细胞自动机和有限体积溶剂会聚用于水文造型的2D浅流模型

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Surface flows of hydrological interest, including overland flow, runoff, river and channel flow and flooding have received significant attention from modellers in the past 30 years. A growing effort to address these complex environmental problems is in place in the scientific community. Researchers have studied and favoured a plethora of techniques to approach this issue, ranging from very simple empirically-based mathematical models, to physically-based, deductive and very formal numerical integration of systems of partial-differential equations. In this work, we review two families of methods: cell-based simulators later called Cellular Automata - and Finite Volume solvers for the Zero-Inertia equation, which we show to converge into a single methodology given appropriate choices. Furthermore, this convergence, mathematically shown in this work, can also be identified by critically reviewing the existing literature, which leads to the conclusion that two methods originating from different reasoning and fundamental philosophy, fundamentally converge into the same method. Moreover, acknowledging such convergence allows for some generalisation of properties of numerical schemes such as error behaviour and stability, which, importantly, is the same for the converging methodology, a fact with practical implications. Both the review of existing literature and reasoning in this work attempts to aid in the effort of synchronising and cross-fertilizing efforts to improve the understanding and the outlook of Zero-Inertia solvers for surface flows, as well as to help in clarifying the possible confusion and parallel developments that may arise from the use of different terminology originating from historical reasons. Moreover, synchronising and unifying this knowledge-base can help clarify model capabilities, applicability and modelling issues for hydrological modellers, specially for those not deeply familiar with the mathematical and numerical details.
机译：水文兴趣的表面流动，包括陆地流动，径流，河流和渠道流量和洪水在过去30年中受到莫德勒的重大关注。在科学界仍然努力解决这些复杂的环境问题。研究人员已经研究过，有利于一种方法来接近这个问题，从非常简单的基于经验的数学模型，以物理为基础的，演绎和非常正式的部分微分方程系统的数值集成。 In this work, we review two families of methods: cell-based simulators later called Cellular Automata - and Finite Volume solvers for the Zero-Inertia equation, which we show to converge into a single methodology given appropriate choices.此外，在这项工作中的这种情况下，也可以通过重视现有文献来识别在这项工作中，这导致了来自不同推理和基本哲学的两种方法，从根本上收敛到相同的方法中的结论。此外，确认这种收敛允许诸如误差行为和稳定性的数值方案的特性的一些概括，这主要是对融合方法的相同，这是具有实际意义的事实。在这项工作中对现有文献和推理的审查都试图帮助努力同步和交互施肥，以改善表面流动的零惯性溶剂的理解和前景，以及帮助澄清可能的混乱从源自历史原因的不同术语中可能出现的并行发展。此外，同步和统一本知识库可以帮助阐明水文型型态推动者的模型能力，适用性和建模问题，特别是对于那些对数学和数值细节不深感熟悉的人。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号