Mathematical modeling of shallow-water flows on steep slopes-Reference-Cited by-同舟云学术

Mathematical modeling of shallow-water flows on steep slopes

Published:2019-06-26 Issue:3 Volume:67 Page:252-259
ISSN:0042-790X
Container-title:Journal of Hydrology and Hydromechanics
language:en
Short-container-title:

Author:

Ni Yufang¹,Cao Zhixian¹,Liu Qingquan²

Affiliation:

1. State Key Laboratory of Water Resources and Hydropower Engineering Science , Wuhan University , Wuhan 430072 , China .

2. Department of Mechanics, Beijing Institute of Technology , Beijing 100081 , China .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering,Water Science and Technology

Link

https://www.sciendo.com/pdf/10.2478/johh-2019-0012

Reference39 articles.

1. Ancey, C., Iverson, R.M., Rentschler, M., Denlinger, R.P., 2008. An exact solution for ideal dam-break floods on steep slopes. Water Resour. Res., 44, 1, W01430.10.1029/2007WR006353

2. Barré de Saint-Venant, A.J.C., 1871. Théorie du mouvement non permanent des eaux, avec application aux crues des rivières et à l’introduction des marées dans leur lits. Comptes Rendus des séances de l’Académie des Sciences, 73, 1871, 237–240. (In French.)

3. Bouchut, F., Mangeney-Castelnau, A., Perthame, B., Vilotte, J., 2003. A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. C. R. Acad. Sci. Paris, 336, 6, 531–536.

4. Bussing, T.R.A., Murmant, E.M., 1988. Finite-volume method for the calculation of compressible chemically reacting flows. AIAA J., 26, 9, 1070–1078.10.2514/3.10013

5. Cantero-Chinchilla, F.N., Castro-Orgaz, O., Khan, A.A., 2017. Depth-integrated non-hydrostatic free-surface flow modelling using weighted-averaged equations. Int. J. Numer. Mech. Fluids, 87, 1. DOI: 10.1002/fld.4481.10.1002/fld.4481

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical study of roll wave development for non-uniform initial conditions using steep slope shallow water equations;Physics of Fluids;2024-02-01

2. Numerical modelling of dense snow avalanches with a well-balanced scheme based on the 2D shallow water equations;Journal of Glaciology;2023-07-25

3. New formulation of the two-dimensional steep-slope shallow water equations. Part II: Numerical modeling, validation, and application;Advances in Water Resources;2023-07

4. Estimating the Routing Parameter of the Xin’anjiang Hydrological Model Based on Remote Sensing Data and Machine Learning;Remote Sensing;2022-09-15

5. New formulation of the two-dimensional steep-slope shallow water equations. Part I: Theory and analysis;Advances in Water Resources;2022-08