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Measuring 2D transient shallow water surfaces: raising the benchmark challenges for 2D shallow water solvers

  • In the past decade, shallow water (SW) solvers have been dramatically improved both in terms of accuracy and computational power. The mathematical, numerical and computational improvements available in state-of-the-art solvers now allow for large scale, long term, high resolution simulations of river flooding, flash floods, dam-break phenomena, rainfall-runoff simulation and extensions into pollutants, substance and sediment transport, etc. SW solvers have been benchmarked against a set of test cases, ubiquitious in the literature. The solvers have been systematically verified against 1D and some 2D analytical solutions and validated further against 1D and 2D laboratory experiments, as well as some well-documented real-scale field cases. However, despite the 2D nature of many of these benchmark tests, none of them report 2D water surface elevation. Typically a few profiles are measured and reported, and more often, only a few points are available. Moreover, in field cases, often not even fully transient data is available. TheIn the past decade, shallow water (SW) solvers have been dramatically improved both in terms of accuracy and computational power. The mathematical, numerical and computational improvements available in state-of-the-art solvers now allow for large scale, long term, high resolution simulations of river flooding, flash floods, dam-break phenomena, rainfall-runoff simulation and extensions into pollutants, substance and sediment transport, etc. SW solvers have been benchmarked against a set of test cases, ubiquitious in the literature. The solvers have been systematically verified against 1D and some 2D analytical solutions and validated further against 1D and 2D laboratory experiments, as well as some well-documented real-scale field cases. However, despite the 2D nature of many of these benchmark tests, none of them report 2D water surface elevation. Typically a few profiles are measured and reported, and more often, only a few points are available. Moreover, in field cases, often not even fully transient data is available. The reason for the inavailability of 2D transient water surface data is due to the technical difficulty of measuring a (fast) moving water surface. In most of the reported experiments, pressure gauges are often used to register water depth evolution, and sometimes PIV techniques have been used to obtain velocity fields. In experimental fluid mechanics, measuring the evolution of a free surface has received little attention, as it has been mainly understood as a problem for SW flows, and more recently for free surface granular flows. In consequence, this work aims to generate a new benchmarking dataset in which 2D transient water surfaces are available for SW model developers and users to further test and challenge these models. We argue that the availability of this new data can help identify limitations in the current generation of solvers, thus laying the ground for improvements in the near future. We present laboratory-scale experimental results on steady and unsteady 2D water surfaces performed in a laboratory flume, ranging from steady transcritical flow to dam-break flows around obstacles. The transient water surface was captured using a commercial-grade RGBD sensing device which allows to capture a high-frequency succession of 3D color-coded point clouds. The channel bed can also be registered in the same manner, thus also allowing to compute the 2D transient water-depth field. Color coding also allows to easily differentiate the channel bed, sidewalls and obstacles. The result of the experimental study is a novel collection of 2D benchmark SW cases, with transient water depth and water elevation data for the entire visible flow field. Furthermore, we compare the experimental measurements to 2D shallow water simulations performed with an extensively tested state-of-the-art solver to assess the suitability of this dataset to perform as benchmark test cases and identify some potential limitations of current models.show moreshow less

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Author: Daniel Caviedes-VoulliemeORCiD, Sergio Martı́nez-Aranda, Javier Fernández-Pato, Ignacio García-Palacín, Pilar García-Navarro
URL:https://tu-dresden.de/bu/umwelt/hydro/ihm/hydrologie/ressourcen/dateien/tdh2018/TdH_2018_Abstractband.pdf
Title of the source (German):M³ - Messen, Modellieren, Managen in Hydrologie und Wasserressourcenbewirtschaftung. Beiträge zum Tag der Hydrologie am 22./23. März 2018 an der Technischen Universität Dresden
Publisher:Technische Universität
Place of publication:Dresden
Editor: Niels Schütze, Uwe Müller, Robert Schwarze, Thomas Wöhling, Jens Grundmann
Document Type:Conference Proceeding
Language:English
Year of publication:2018
First Page:S. 23
Faculty/Chair:Fakultät 2 Umwelt und Naturwissenschaften / FG Hydrologie
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