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A coupled numerical model for 2-Dimensional surface and 3-Dimensional subsurface flows
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|Title: ||A coupled numerical model for 2-Dimensional surface and 3-Dimensional subsurface flows|
|Authors: ||He, Zhiguo|
Wang, Sam S.Y.
|Issue Date: ||12-Sep-2006 |
|Publisher: ||Michael Piasecki and College of Engineering, Drexel University|
|Citation: ||Proceedings of the Seventh International Conference on Hydroscience and Engineering, Philadelphia, PA, September 2006. http://hdl.handle.net/1860/732|
|Abstract: ||This paper presents a fully implicit coupled model designed for hydrologic evaluation in wetlands, agricultural fields, etc. In this model, the diffusion wave equation for two-dimensional unsteady surface flow is coupled with the modified Richards equation in the mixed form for three-dimensional unsteady variably saturated subsurface flow. The integration between surface and subsurface flow model components is accomplished by considering the process of infiltration in dynamic equilibrium. The continuity conditions of pressure head and exchange flux are used at the ground surface. The pressure head is assumed to be equal to the surface water depth when surface flow starts to occur, and the water exchange flux is considered in the new surface flow boundary condition.
The coupled system of equations governing surface and subsurface flows is discretized using the finite volume method in space and an implicit backward difference scheme in time. To handle the nonlinearity of the system, the modified Picard procedure is used to linearize the surface and subsurface flow equations. The discretized algebraic equation system is then solved using Stone’s Strongly Implicit Procedure (SIP). Accurate numerical solution and mass balance are reached when the convergence criteria of both the Picard iteration loop and SIP solution loop are satisfied at each time step. Component modules and the coupled model have been tested by comparing numerical results with published experimental data and analytical solutions. The results have demonstrated that the established numerical model is capable of simulating 3-D subsurface flow and 2-D surface flow as well as predicting the interactions between them.|
|Description: ||Paper presented at The Seventh International Conference on HydroScience and Engineering (ICHE) hosted by the College of Engineering at Drexel Univeristy on September 10-13, 2006 in Philadelphia, Pennsylvania. The conference theme was IT in the Field of HydroSciences. It included several mini-symposia that emphasized IT topics in HydroSciences and the yearly meeting of the metadata group of the International Oceanographic Data and Information Exchange organization.|
|Appears in Collections:||Proceedings of the 7th International Conference on HydroScience and Engineering (ICHE 2006) [ISBN: 0977447405]|
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