Shallow Water Equations as a Mathematical Model of Whitewater Course Hydrodynamics

  • Michał SzydłowskiEmail author
  • Patrycja Mikos-Studnicka
Conference paper
Part of the GeoPlanet: Earth and Planetary Sciences book series (GEPS)


Predicting the positions of local hydraulic phenomena, as well as accurately estimating the depth and velocity of the water flow are necessary to correctly configure a whitewater canoeing course. Currently, a laboratory and full 3D CFD modeling 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 simulation 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 observed 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.


Whitewater hydraulics SWE Mathematical modeling Laboratory modeling 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Faculty of Civil and Environmental EngineeringGdańsk University of TechnologyGdańskPoland

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