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Main Title: Shallow water equations with depth-dependent anisotropic porosity for subgrid-scale topography
Author(s): Özgen, Ilhan
Liang, Dongfang
Hinkelmann, Reinhard
Type: Article
Language Code: en
Is Part Of: 10.14279/depositonce-6269
Abstract: This paper derives a novel formulation of the depth-averaged shallow water equations with anisotropic porosity for computational efficiency reasons. The aim is to run simulations on coarser grids while maintaining an acceptable accuracy through the introduction of porosity terms, which account for subgrid-scale effects. The porosity is divided into volumetric and areal porosities, which are assigned to the cell volume and the cell edges, respectively. The former represents the volume in the cell available to flow and the latter represents the area available to flow over an edge, hence introducing anisotropy. The porosity terms are variable in time in dependence of the water elevation in the cell and the cumulative distribution function of the unresolved bottom elevation. The main novelty of the equations is the formulation of the porosities which enables full inundation of the cell. The applicability of the equations is verified in five computational examples, dealing with dam break and rainfall-runoff simulations. Overall, good agreement between the model results and a high-resolution reference simulation has been achieved. The computational time decreased significantly: on average three orders of magnitude.
Issue Date: 2016
Date Available: 17-Aug-2018
DDC Class: 550 Geowissenschaften, Geologie
Subject(s): shallow water equations
anisotropic porosity
coarse grid approach
integral partial differential equations
Journal Title: Applied Mathematical Modelling
Publisher: Elsevier
Publisher Place: New York, NY
Volume: 40
Issue: 17-18
Publisher DOI: 10.1016/j.apm.2015.12.012
Page Start: 7447
Page End: 7473
ISSN: 0307-904X
Appears in Collections:FG Wasserwirtschaft und Hydrosystemmodellierung » Publications

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