Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management
2012 (English)In: Progress in Industrial Mathematics at ECMI 2010 / [ed] Michael Günther and Andreas Bartel and Markus Brunk and Sebastian Schöps and Michael Striebel, Springer Berlin/Heidelberg, 2012, 561-567 p.Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2012. 561-567 p.
, Mathematics in Industry, 17
Research subject Applied and Computational Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-179849DOI: 10.1007/978-3-642-25100-9_65ISBN: 978-3-642-25100-9OAI: oai:DiVA.org:kth-179849DiVA: diva2:890325
European Conference on Mathematics for Industry (ECMI) 2010
QC 201603222016-01-032016-01-032016-03-22Bibliographically approved