Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management

Research output: Contribution to book/Conference proceedings/Anthology/ReportConference contributionContributedpeer-review

Contributors

  • Peter Bastian - , Heidelberg University  (Author)
  • Heiko Berninger - , Free University of Berlin (Author)
  • Andreas Dedner - , University of Freiburg (Author)
  • Christian Engwer - , Heidelberg University  (Author)
  • Patrick Henning - , University of Münster (Author)
  • Ralf Kornhuber - , Free University of Berlin (Author)
  • Dietmar Kröner - , University of Freiburg (Author)
  • Mario Ohlberger - , University of Münster (Author)
  • Oliver Sander - , Chair of Numerical Methods of Partial Differential Equations, Free University of Berlin (Author)
  • Gerd Schiffler - , WALD + CORBE GbR (Author)
  • Nina Shokina - , University of Freiburg (Author)
  • Kathrin Smetana - , University of Münster (Author)

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.

Details

Original languageEnglish
Title of host publicationProgress in Industrial Mathematics at ECMI 2010
PublisherSpringer, Berlin [u. a.]
Pages561-567
Publication statusE-pub ahead of print - 1 Jan 2012
Peer-reviewedYes

External IDs

ORCID /0000-0003-1093-6374/work/146644824