River Flow Dynamics with Two-dimensional Shallow-water Equations

1st International Conference on Advances in Engineering and Technology

Rahman, Khawar^1 ; Mandokhail, Saeedullah Jan^2

Department of Civil Engineering, Ghulam Ishaq Khan Institute of Engineering Sciences and Technology, Topi, District Swabi, Pakistan^1

Department of Civil Engineering, BUITEMS, Quetta, Pakistan^2

关键词: Governing equations;    Hydrodynamic flux;    Modified methods;    Saint Venant equation;    Temporal and spatial;    Total variation diminishing scheme;    Two-dimensional flow;    Two-dimensional shallow water equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/414/1/012037/pdf
DOI  :  10.1088/1757-899X/414/1/012037

来源: IOP

【 摘 要 】

This study proposes a numerical model to simulate unsteady flows in rivers and associated riverine processes. The mathematical model is based on Saint-Venant equations. The governing equations are descritized by Godunov-type finite volume method. Use of total variation diminishing (TVD) scheme and MUSCL-Hancock technique satisfies second-order temporal and spatial accuracy requirements, respectively. Hydrodynamic flux components associated are computed by Harten-Lax-van Leer (HLL) method. A modified method is introduced for approximating flow features along the shear wave. The proposed scheme is used to model an idealized dam-break case, and a case of dam-break in a channel with a 90° bend which results in bore formation and complex two-dimensional flow; the predictions show excellent agreement with available experimental results and analytical solutions.