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Error propagation in the Newton-based solution control of unsaturated flow
Auteur(s)
Diersch, Hans-Jörg
Editeur(s)
Stauffer, Fritz
Kinzelbach, Wolfgang
Kovar, Karel
Hoehn, Eduard
Maison d'édition
: Int Assoc Hydrological Sciences
Date de parution
1999
De la page
418
A la page
424
Résumé
The Newton method represents the numerical core of the primary variable switching technique (PVST) which has been shown to be superior to conventional approaches in both unsaturated flow and multiphase flow modelling. In the context of PVST, empirically controlled strategies in time are rather common, where the Newton convergence is attempted for a possibly large step size. This technique is known as the target-based full Newton (TBFN) time stepping strategy. In comparison to adaptive techniques satisfying a predefined discretization error, the TBFN results can be inaccurate in spite of the convergence achieved in the Newton method. The present paper aims to analyse the cause of discrepancies in simulating unsaturated flows. This is done by comparison of analytical solutions which are based on exponential constitutive laws.
Nom de l'événement
ModelCARE 1999 Conference
Lieu
Zurich, Switzerland
Autre version
://000173564800060
Type de publication
Resource Types::text::conference output::conference proceedings::conference paper
