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Main Title: Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity
Author(s): Özgen, Ilhan
Zhao, Jiaheng
Liang, Dongfang
Hinkelmann, Reinhard
Type: Article
Language Code: en
Is Part Of: 10.14279/depositonce-6269
Abstract: The shallow water model with anisotropic porosity conceptually takes into account the unresolved subgrid-scale features, e.g. microtopography or buildings. This enables computationally efficient simulations that can be run on coarser grids, whereas reasonable accuracy is maintained via the introduction of porosity. This article presents a novel numerical model for the depth-averaged equations with anisotropic porosity. The porosity is calculated using the probability mass function of the subgrid-scale features in each cell and updated in each time step. The model is tested in a one-dimensional theoretical benchmark before being evaluated against measurements and high-resolution predictions in three case studies: a dam-break over a triangular bottom sill, a dam-break through an idealized city and a rainfall-runoff event in an idealized urban catchment. The physical processes could be approximated relatively well with the anisotropic porosity shallow water model. The computational resolution influences the porosities calculated at the cell edges and therefore has a large influence on the quality of the solution. The computational time decreased significantly, on average three orders of magnitude, in comparison to the classical high-resolution shallow water model simulation.
Issue Date: 2016
Date Available: 17-Aug-2018
DDC Class: 550 Geowissenschaften, Geologie
Subject(s): porous shallow water equations
anisotropic porosity
finite volume method
case studies
Journal Title: Journal of Hydrology
Publisher: Elsevier
Publisher Place: Amsterdam
Volume: 541
Publisher DOI: 10.1016/j.jhydrol.2016.08.025
Page Start: 1165
Page End: 1184
ISSN: 0022-1694
Appears in Collections:FG Wasserwirtschaft und Hydrosystemmodellierung » Publications

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