Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity
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.
- Authors:
-
- Technische Univ. Berlin (Germany). Chair of Water Resources Management and Modeling of Hydrosystems
- Univ. of Cambridge (United Kingdom). Dept. of Engineering
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1482512
- Grant/Contract Number:
- AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Hydrology
- Additional Journal Information:
- Journal Volume: 541; Journal Issue: PB; Journal ID: ISSN 0022-1694
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; porous shallow water equations; anisotropic porosity; finite volume method; case studies
Citation Formats
Özgen, Ilhan, Zhao, Jiaheng, Liang, Dongfang, and Hinkelmann, Reinhard. Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity. United States: N. p., 2016.
Web. doi:10.1016/j.jhydrol.2016.08.025.
Özgen, Ilhan, Zhao, Jiaheng, Liang, Dongfang, & Hinkelmann, Reinhard. Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity. United States. https://doi.org/10.1016/j.jhydrol.2016.08.025
Özgen, Ilhan, Zhao, Jiaheng, Liang, Dongfang, and Hinkelmann, Reinhard. Sat .
"Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity". United States. https://doi.org/10.1016/j.jhydrol.2016.08.025. https://www.osti.gov/servlets/purl/1482512.
@article{osti_1482512,
title = {Urban flood modeling using shallow water equations with depth-dependent anisotropic porosity},
author = {Özgen, Ilhan and Zhao, Jiaheng and Liang, Dongfang and Hinkelmann, Reinhard},
abstractNote = {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.},
doi = {10.1016/j.jhydrol.2016.08.025},
journal = {Journal of Hydrology},
number = PB,
volume = 541,
place = {United States},
year = {Sat Oct 01 00:00:00 EDT 2016},
month = {Sat Oct 01 00:00:00 EDT 2016}
}
Web of Science
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