<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A 2D hydrodynamic (labeled as CAR) model has been proposed in a rectangular Cartesian coordinate system with two axes within the horizontal plane and one axis along the vertical direction (global coordinates), considering the effects of bed slope on both pressure distribution and bed shear stresses. The CAR model satisfactorily reproduces the analytical solutions of dam-break flow over a steep slope, while the traditional Saint-Venant Equations (labeled as SVE) significantly overestimate the flow velocity. For flood events with long duration and large mean slope, the CAR and the SVE models present distinguishable discrepancies. Therefore, the proposed CAR model is recommended for applications to real floods for its facility of extending from 1D to 2D version and ability to model shallow-water flows on steep slopes.</p></abstract>

A 2D hydrodynamic (labeled as CAR) model has been proposed in a rectangular Cartesian coordinate system with two axes within the horizontal plane and one axis along the vertical direction (global coordinates), considering the effects of bed slope on both pressure distribution and bed shear stresses. The CAR model satisfactorily reproduces the analytical solutions of dam-break flow over a steep slope, while the traditional Saint-Venant Equations (labeled as SVE) significantly overestimate the flow velocity. For flood events with long duration and large mean slope, the CAR and the SVE models present distinguishable discrepancies. Therefore, the proposed CAR model is recommended for applications to real floods for its facility of extending from 1D to 2D version and ability to model shallow-water flows on steep slopes.

Mathematical modeling of shallow-water flows on steep slopes

State Key Laboratory of Water Resources and Hydropower Engineering Science

Department of Mechanics, Beijing Institute of Technology

Journal of Hydrology and Hydromechanics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Mathematical modeling of shallow-water flows on steep slopes"}

A 2D hydrodynamic (labeled as CAR) model has been proposed in a rectangular Cartesian coordinate system with two axes within the horizontal plane and one axis...

Mathematical modeling of shallow-water flows on steep slopes

Published Online: Jun 26, 2019

Page range: 252 - 259

Received: Jan 22, 2018

Accepted: May 30, 2018

DOI: https://doi.org/10.2478/johh-2019-0012

Keywords
2D shallow-water equations, Steep slopes, Dam-break flows, Rectangular Cartesian coordinate system, Global coordinates

© 2019 Yufang Ni et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mathematical modeling of shallow-water flows on steep slopes

Published Online: Jun 26, 2019

Page range: 252 - 259

Received: Jan 22, 2018

Accepted: May 30, 2018

DOI: https://doi.org/10.2478/johh-2019-0012

Keywords2D shallow-water equations, Steep slopes, Dam-break flows, Rectangular Cartesian coordinate system, Global coordinates

© 2019 Yufang Ni et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
2D shallow-water equations, Steep slopes, Dam-break flows, Rectangular Cartesian coordinate system, Global coordinates