Integrated numerical model for vegetated surface and saturated subsurface flow interaction

doi:10.1007/s10483-012-1592-9

Abstract

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.

Key words: first-order differential equation, periodic solution, resonance, Brouwer degree, coincidence degree, Duffing equation, vegetated surface flow, saturated groundwater flow, flow interaction, tight coupling, finite volume method, finite difference method, flow resistance

2010 MSC Number:

TV133

K. S. ERDURAN. Integrated numerical model for vegetated surface and saturated subsurface flow interaction. Applied Mathematics and Mechanics (English Edition), 2012, 33(7): 881-898.

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Integrated numerical model for vegetated surface and saturated subsurface flow interaction

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