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Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics

Abstract

Predicting the positions of local hydraulic phenomena, as well as accurately esti-mating the depth and velocity of the water flow are necessary to correctly config-ure a whitewater canoeing course. Currently, a laboratory and full 3D CFD model-ing are typically used in the design process to meet these needs. The article points to another possibility which can be useful at the preliminary stage of the design. The authors show that a mathematical model of depth-averaged free-surface flow can reliably predict the basic flow dynamics and location of some hydraulic local effects within a whitewater open channel. The results of a numerical simula-tion of the transcritical flow were compared to the flow parameters measured in a laboratory model of a constriction in an open-channel flow. A satisfactory agreement between the measurements and calculated flow parameters was ob-served along with the proper reconstruction of hydraulic local effects. It can be concluded that the proposed simplified approach to modeling is an efficient method to investigate the main hydraulic features of whitewater flow needed at the concept stage of the design process. This means that cost and time-consuming laboratory and CFD modeling is necessary only at a later stage of the design, after the initial concept of the canoe course has been completed.

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Details

Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Published in:
GeoPlanet: Earth and Planetary Sciences pages 277 - 288,
ISSN: 2190-5193
Title of issue:
Recent Trends in Environmental Hydraulics strony 277 - 288
Language:
English
Publication year:
2020
Bibliographic description:
Szydłowski M., Mikos-Studnicka P.: Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics// Recent Trends in Environmental Hydraulics/ Cham: Springer, 2020, s.277-288
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-030-37105-0_24
Verified by:
Gdańsk University of Technology

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