Multilayer Averaged and Moment Equations for One-Dimensional Open-Channel Flows
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 8
Abstract
A model is developed to account for the vertical distribution of velocity and nonhydrostatic pressure in one-dimensional open-channel flows. The model is based on both classical multilayer models and depth-averaged and moment equations. The establishment of its governing equations and the flow simulation are performed over a number of flow layers as in classical multilayer models. However, the model also allows for vertical distributions within a flow layer by including both Boussinesq terms and effective stress terms due to depth-averaging operations. These terms are evaluated on the basis of vertically linearly approximated profiles of velocity and pressure. The resulting additional coefficients can be solved by the moment equations for the relevant layers. Three verifications demonstrate satisfactory simulations for water surface profile, as well as vertical distributions for horizontal velocity, vertical velocity, and nonhydrostatic pressure. Sensitivity analysis shows that the model can be applied with fewer flow layers, more flexibility of layer division, and less computational cost than classical multilayer models, without a remarkable compromise in accuracy.
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Acknowledgment
This research was supported by the Natural Science and Engineering Research Council of Canada.
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Information
Published In
Journal of Hydraulic Engineering
Volume 132 • Issue 8 • August 2006
Pages: 839 - 849
Copyright
© 2006 ASCE.
History
Received: Sep 13, 2004
Accepted: Aug 19, 2005
Published online: Aug 1, 2006
Published in print: Aug 2006
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