Mathematical modeling of shallow-water flows on steep slopes

Title:

Mathematical modeling of shallow-water flows on steep slopes

Creator:

Ni, Yufang , Cao, Zhixian , and Liu, Qingquan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:bb6a41b6-2e28-4e13-b8f0-24a3c41a8a7a
uuid:bb6a41b6-2e28-4e13-b8f0-24a3c41a8a7a
doi:10.2478/johh-2019-0012

Subject:

2D shallow-water equations, steep slopes, dam-break flows, rectangular cartesian coordinate system, and global coordinates

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

Slovak

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

252-259

Source:

Journal of hydrology and hydromechanics | 2019 Volume:67 | Number:3

Harvested from:

CDK

Metadata only:

false