A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow |
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| Authors: | Clint Dawson |
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| Institution: | (1) Center for Subsurface Modeling, The University of Texas at Austin, 1 University Station, C0200, Austin, TX 78712, USA |
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| Abstract: | We consider conjunctive surface-subsurface flow modeling, where surface water flow is described by the shallow water equations
and ground water flow by Richards’ equation for the vadose zone. Coupling between the models is based on the continuity of
flux and water pressure. Numerical approximation of the coupled model using the framework of discontinuous Galerkin (DG) methods
is formulated. In the subsurface, the local discontinuous Galerkin (LDG) method is used to approximate ground water velocity
and hydraulic head; a DG method is also used to approximate surface water velocity and elevation. This approach allows for
a weak coupling of the models and the use of different approximating spaces and/or meshes within each regime. A simplified
LDG method based on continuous approximations to water head is also described. Numerical results that investigate physical
and numerical aspects of surface–subsurface flow modeling are presented.
This work was supported by National Science Foundation grant DMS-0411413. |
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| Keywords: | Ground water flow equations Shallow water equations Galerkin method Coupled method |
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