Analytical Methods and Field Applications to Test the TVDLF Method in Hillslopes and Wetlands
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 1
Abstract
With the increased emphasis on developing integrated models capable of simulating runoff through hydrologic systems that include hillslopes and wetlands, analytical solutions have become useful in analyzing and testing numerical models applied to both. An analytical solution in algebraic form is developed in this paper to describe a sinusoidal moisture profile migrating through a wetland or a hillslope, the magnitude of the peak runoff, and the phase lag. The solution is obtained for an instantaneous sinusoidal recharge signal, and results are expressed in terms of the basin geometry and flow resistance parameters. The analytical solution is used to verify the accuracy of a numerical model based on the implicit total variation diminishing Lax-Friedrichs (TVDLF) method. This method is used in the Regional Simulation Model (RSM) developed at the South Florida Water Management District (SFWMD) to simulate the complex hydrologic system of south Florida. The runoff peak, phase lag, propagation speed, and decay rate over a range of Péclet numbers are used in the comparison of analytical and numerical solutions. The numerical model using the TVDLF method is tested by applying to the Boggy Creek watershed in central Florida, and the wetland stormwater treatment area (STA)-3/4 in south Florida to simulate storm runoffs and water levels. Results show that the model using a general power-law equation to represent flow resistance, and a conceptual model consisting of a canallike drainage feature to represent rapid drainage can be used to simulate the hydrology in both the watershed and the wetland.
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Data Availability Statement
The following data, models, or code generated or used during the study are available in a repository or online. Water levels and discharge time series data for STA-3/4 and Boggy Creek watershed are available at the DBHYDRO website operated by the SFWMD (http://www.sfwmd.gov/dbhydro). Some models or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The author wishes to thank Joel VanArman, Seyed Hajimirzaie, Eric Flaig, Raul Novoa, Jeffrey Iudicello, Randy Van Zee, and Walter Wilcox of the South Florida Water Management District for editorial support, technical reviews, and technical discussions on these topics. The comments and suggestions provided by the ASCE reviewers are also greately appreciated.
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Published In
Journal of Hydraulic Engineering
Volume 147 • Issue 1 • January 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Nov 12, 2019
Accepted: Jun 22, 2020
Published online: Oct 16, 2020
Published in print: Jan 1, 2021
Discussion open until: Mar 16, 2021
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