Upwind Conservative Scheme for the Saint Venant EquationsSource: Journal of Hydraulic Engineering:;2004:;Volume ( 130 ):;issue: 010DOI: 10.1061/(ASCE)0733-9429(2004)130:10(977)Publisher: American Society of Civil Engineers
Abstract: An upwind conservative scheme with a weighted average water-surface-gradient approach is proposed to compute one-dimensional open channel flows. The numerical scheme is based on the control volume method. The intercell flux is computed by the one-sided upwind method. The water surface gradient is evaluated by the weighted average of both upwind and downwind gradients. The scheme is tested with various examples, including dam-break problems in channels with rectangular and triangular cross-sections, hydraulic jump, partial dam-break problem, overtopping flow, a steady flow over bump with hydraulic jump, and a dam-break flood case in a natural river valley. Comparisons between numerical and exact solutions or experimental data demonstrated that the proposed scheme is capable of accurately reproducing various open channel flows, including subcritical, supercritical, and transcritical flows. The scheme is inherently robust, stable, and monotone. The scheme does not require any special treatment, such as artificial viscosity or front tracking technique, to capture steep gradients or discontinuities in the solution.
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contributor author | Xinya Ying | |
contributor author | Abdul A. Khan | |
contributor author | Sam S. Y. Wang | |
date accessioned | 2017-05-08T20:44:42Z | |
date available | 2017-05-08T20:44:42Z | |
date copyright | October 2004 | |
date issued | 2004 | |
identifier other | %28asce%290733-9429%282004%29130%3A10%28977%29.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/25644 | |
description abstract | An upwind conservative scheme with a weighted average water-surface-gradient approach is proposed to compute one-dimensional open channel flows. The numerical scheme is based on the control volume method. The intercell flux is computed by the one-sided upwind method. The water surface gradient is evaluated by the weighted average of both upwind and downwind gradients. The scheme is tested with various examples, including dam-break problems in channels with rectangular and triangular cross-sections, hydraulic jump, partial dam-break problem, overtopping flow, a steady flow over bump with hydraulic jump, and a dam-break flood case in a natural river valley. Comparisons between numerical and exact solutions or experimental data demonstrated that the proposed scheme is capable of accurately reproducing various open channel flows, including subcritical, supercritical, and transcritical flows. The scheme is inherently robust, stable, and monotone. The scheme does not require any special treatment, such as artificial viscosity or front tracking technique, to capture steep gradients or discontinuities in the solution. | |
publisher | American Society of Civil Engineers | |
title | Upwind Conservative Scheme for the Saint Venant Equations | |
type | Journal Paper | |
journal volume | 130 | |
journal issue | 10 | |
journal title | Journal of Hydraulic Engineering | |
identifier doi | 10.1061/(ASCE)0733-9429(2004)130:10(977) | |
tree | Journal of Hydraulic Engineering:;2004:;Volume ( 130 ):;issue: 010 | |
contenttype | Fulltext |