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Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management

Bastian, Peter (author)
University of Heidelberg
Berninger, Heiko (author)
Dedner, Andreas (author)
University of Warwick
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Engwer, Christian (author)
University of Münster
Henning, Patrick, 1983- (author)
KTH,Numerisk analys, NA
Kornhuber, Ralf (author)
FU Berlin
Kröner, Dietmar (author)
University of Freiburg
Ohlberger, Mario (author)
University of Münster
Sander, Oliver (author)
TU Dresden
Schiffler, Gerd (author)
Shokina, Nina (author)
Smetana, Kathrin (author)
University of Münster
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 (creator_code:org_t)
2012-01-14
2012
English.
In: Progress in Industrial Mathematics at ECMI 2010. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 9783642251009 ; , s. 561-567
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Tillämpad matematik och beräkningsmatematik
Applied and Computational Mathematics

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