Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
arXiv:1806.0390910 citationsh-index: 36
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Provides a stable numerical framework for coupling hydrostatic free surface flows with saturated subsurface systems, relevant for environmental and hydrological modeling.
The paper develops a coupled surface/subsurface flow model using the local discontinuous Galerkin method and proves discrete energy stability for the fully nonlinear system.
We formulate a coupled surface/subsurface flow model that relies on hydrostatic equations with free surface in the free flow domain and on the Darcy model in the subsurface part. The model is discretized using the local discontinuous Galerkin method, and a statement of discrete energy stability is proved for the fully non-linear coupled system.