K.S.Erduran. An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction[J]. Applied Mathematics and Mechanics, 2012, 33(7): 828-844. doi: 10.3879/j.issn.1000-0887.2012.07.004
 Citation: K.S.Erduran. An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction[J]. Applied Mathematics and Mechanics, 2012, 33(7): 828-844.

# An Integrated Numerical Model for Vegetated Surface and Saturated Subsurface Flow Interaction

##### doi: 10.3879/j.issn.1000-0887.2012.07.004
• Rev Recd Date: 2012-02-10
• Publish Date: 2012-07-15
• The construction of an integrated numerical model was presented to deal with interactions between vegetated surface and saturated subsurface flows. The numerical model was built up by integrating previously developed quasi-three-dimensional vegetated surface flow model with a two-dimensional saturated groundwater flow model. The vegetated surface flow model was constructed by coupling the explicit finite volume solution of the two-dimensional shallow water equations (SWE) with the implicit finite difference solution of Navier-Stokes equations (NSE) for vertical velocity distribution. The subsurface model was based on the explicit finite volume solution of twodimensional saturated groundwater flow equations (SGFE). The ground and vegetated surface water interaction was achieved by the introduction of source-sink terms into the continuity equations. Two solutions were tightly coupled in a single code. The integrated model was applied to four test cases and the results were satisfactory.
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