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Simulation of shallow flows in nonuniform open channels

Lookup NU author(s): Professor Qiuhua Liang



This paper presents a new formulation of the 2D shallow water equations, based on which a numerical model (referred to as NewChan) is developed for simulating complex flows in nonuniform open channels. The new shallow water equations mathematically balance the flux and source terms and can be directly applied to predict flows over irregular bed topography without any necessity for a special numerical treatment of source terms. The balanced governing equations are solved on uniform Cartesian grids using a finite-volume Godunov-type scheme, enabling automatic capture of transcritical flows. A high-order numerical scheme is achieved using a second-order Runge-Kutta integration method. A very simple immersed boundary approach is used to deal with an irregular domain geometry. This method can be easily implemented in a Cartesian model and does not have any influence on computational efficiency. The numerical model is validated against several benchmark tests. The computed results are compared with analytical solutions, previously published predictions, and experimental measurements and excellent agreements are achieved. Copyright © 2008 by ASME.

Publication metadata

Author(s): Liang Q

Publication type: Article

Publication status: Published

Journal: Journal of Fluids Engineering, Transactions of the ASME

Year: 2008

Volume: 130

Issue: 1

Pages: 0112051-0112059

Print publication date: 01/01/2008

ISSN (print): 0098-2202

ISSN (electronic): 1528-901X

Publisher: ASME International


DOI: 10.1115/1.2829593


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