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Integrated numerical model for vegetated surface and saturated subsurface flow interaction

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Abstract

The construction of an integrated numerical model is presented in this paper to deal with the interactions between vegetated surface and saturated subsurface flows. A numerical model is built by integrating the previously developed quasi-three-dimensional (Q3D) vegetated surface flow model with a two-dimensional (2D) saturated groundwater flow model. The vegetated surface flow model is constructed by coupling the explicit finite volume solution of 2D shallow water equations (SWEs) with the implicit finite difference solution of Navier-Stokes equations (NSEs) for vertical velocity distribution. The subsurface model is based on the explicit finite volume solution of 2D saturated groundwater flow equations (SGFEs). The ground and vegetated surface water interaction is achieved by introducing source-sink terms into the continuity equations. Two solutions are tightly coupled in a single code. The integrated model is applied to four test cases, and the results are satisfactory.

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Authors and Affiliations

  1. Department of Civil Engineering, Faculty of Engineering, University of Nigde, Nigde, 51245, Turkey

    K. S. Erduran

  2. Department of Civil Engineering, College of Engineering, American University of Sharjah, Sharjah, 26666, United Arab Emirates

    K. S. Erduran

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Erduran, K.S. Integrated numerical model for vegetated surface and saturated subsurface flow interaction. Appl. Math. Mech.-Engl. Ed. 33, 881–898 (2012). https://doi.org/10.1007/s10483-012-1592-9

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  • DOI: https://doi.org/10.1007/s10483-012-1592-9

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2010 Mathematics Subject Classification

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