WAF Method and Splitting Procedure for Simulating Hydro- and Thermal-Peaking Waves in Open-Channel Flows
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 8
Abstract
Hydro- and thermal-peaking waves, generated by hydroelectric power generation, have a strong impact on the ecological integrity of aquatic ecosystems. In order to reduce such effects, mitigation procedure must be studied and implemented. To this end a one-dimensional model which solves the coupling of hydrodynamics with heat transport is developed. The solution is obtained advancing simultaneously the hydrodynamic and thermal module with the same accuracy. For the numerical solution of the governing advection-reaction/diffusion problem a splitting procedure is adopted: the advection-reaction part is solved by means of the weight average flux (WAF) finite volume explicit method, while the diffusion part is solved using a nonlinear version of the implicit Crank-Nicolson method. The WAF method is extended to second-order in the presence of reaction terms. Numerical results are presented for different test examples, which demonstrate the accuracy and robustness of the scheme and its applicability in predicting temperature transport by shallow water flows. Application to the Adige River (Northern Italy) of this framework proves that the model is an effective tool for designing hydro- and thermal-peaking waves mitigation procedures.
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Acknowledgments
The writers are indebted to D. Avesani for his assistance in data collection and to M. C. Bruno for his advice on ecological issues. This research was partially funded by the Adige Water Authority, the Natural Science Museum of Trento, and the Department of Civil and Environmental Engineering of the University of Trento through the REPORT project.
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Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 135 • Issue 8 • August 2009
Pages: 651 - 662
Copyright
© 2009 ASCE.
History
Received: May 27, 2008
Accepted: Jan 22, 2009
Published online: Feb 6, 2009
Published in print: Aug 2009
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