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Modelling of wetting and drying of shallow water using artificial porosity
Author(s) -
van't Hof B.,
Vollebregt E. A. H.
Publication year - 2005
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.959
Subject(s) - porosity , wetting , geotechnical engineering , geology , environmental science , materials science , composite material
A new method for wetting and drying in two‐dimensional shallow water flow models is proposed. The method is closely related to the artificial porosity method used by different authors in Boussinesq‐type models, but is further extended for use in a semi‐implicit (ADI‐type) time integration scheme. The method is implemented in the simulation model WAQUA using general boundary fitted coordinates and is applied to realistic schematization for a portion of the river Meuse in the Netherlands. A large advantage of the artificial porosity method over traditionally used methods on the basis of ‘screens’ is a strongly reduced sensitivity of model results. Instead of blocking all water transport in grid points where the water level becomes small, as in screen‐based methods, the flow is gradually closed off. Small changes in parameters such as the initial conditions or bottom topography therefore no longer lead to large changes in the model results. Copyright © 2005 John Wiley & Sons, Ltd.