Abstract
This paper presents a continuous finite element model for shallow water equations coupled with a bedload sediment conservation law. The model incorporates a sign-preserving conservative correction based on the flux correction transport methodology. Complete algorithm permits simulation of flows with evolutionary boundaries and erodible–non erodible interfaces under severe conditions without spurious mass exchanges and oscillations. Numerical experiments explore the efficacy of the procedure for dam-break problems on channels with dry beds, for partially and totally erodible beds, and for migration of small bedforms. Computation of real river morphodynamics under intense flooding illustrates practical application of the model.
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Acknowledgments
Authors are grateful for useful discussions to the staff of Agency of Public Works of Andalusian Regional Government, Spain (AOPJA), and to J. Gómez for his help. This work was partially supported by FEDER (2007–2013)-AOPJA-G-GI300/IDI0 Grant. First author was also partially sponsored by the MICIIN Grant BIA-2012-32918. Figures 11, 12, 13 and 14 were plotted using ParaView (2012).
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Ortiz, P., Anguita, J. & Riveiro, M. Free surface flows over partially erodible beds by a continuous finite element method. Environ Earth Sci 74, 7357–7370 (2015). https://doi.org/10.1007/s12665-015-4730-y
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DOI: https://doi.org/10.1007/s12665-015-4730-y