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  • Bastian, Peter, et al. (author)
  • Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management
  • 2012
  • In: Progress in Industrial Mathematics at ECMI 2010. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 9783642251009 ; , s. 561-567
  • Conference paper (peer-reviewed)abstract
    • This paper presents recent results of a network project aiming at the modelling and simulation of coupled surface and subsurface flows. In particular, a discontinuous Galerkin method for the shallow water equations has been developed which includes a special treatment of wetting and drying. A robust solver for saturated–unsaturated groundwater flow in homogeneous soil is at hand, which, by domain decomposition techniques, can be reused as a subdomain solver for flow in heterogeneous soil. Coupling of surface and subsurface processes is implemented based on a heterogeneous nonlinear Dirichlet–Neumann method, using the dune-grid-glue module in the numerics software DUNE.
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