Multilayer Depth-Averaged Flow Model with Implicit Interfaces
Publication: Journal of Hydraulic Engineering
Volume 133, Issue 10
Abstract
Using a depth-averaged model to obtain the velocity and pressure distributions in the vertical direction is difficult. A multilayer model is an option that can be used to improve on the depth-averaged model. However, the unknown flow depth needs to be predicted first and then divided into layers as an input for the multilayer model. An improved multilayer model is proposed here by introducing an implicit layer dividing interfaces that are associated with the flow velocity and pressure distribution. The formulation of interfaces also applies to boundary faces: Free surface and channel beds. Therefore, each flow layer behaves like that in the classical depth-averaged model. Subsequently the governing equations are also simplified due to the vanishing terms related to interfacial flow exchanges. This improved model has been satisfactorily applied to steady flow simulations in three cases: Flow over a slope transition from mild to steep, from steep to mild, and over a trapezoidal weir. The results demonstrate the efficiency and validity of the proposed models to simulate open channel flows with bed slope changes.
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Acknowledgments
This research was supported in part by the Natural Science and Engineering Research Council of Canada.NRC
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© 2007 ASCE.
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Received: Oct 26, 2005
Accepted: Apr 10, 2007
Published online: Oct 1, 2007
Published in print: Oct 2007
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