Floodwater pathways in urban areas: A method to compute porosity fields for anisotropic subgrid models in differential form
•Flood modelling in real urban areas is a challenge for differential anisotropic porosity models.•Direction-dependent, cell-based conveyance porosity is not trivial to estimate.•A method is proposed to extract conveyance porosity fields from building footprints.•Straightforward application to comple...
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| Published in: | Journal of hydrology (Amsterdam) Vol. 589; p. 125193 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01.10.2020
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| ISSN: | 0022-1694, 1879-2707 |
| Online Access: | Get full text |
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| Abstract | •Flood modelling in real urban areas is a challenge for differential anisotropic porosity models.•Direction-dependent, cell-based conveyance porosity is not trivial to estimate.•A method is proposed to extract conveyance porosity fields from building footprints.•Straightforward application to complex urban layouts provides accurate results.•A Fortran numerical implementation of the proposed method is made available.
In the framework of porosity models for large-scale urban floods, this work presents a method to compute the spatial distribution of the porosity parameters of complex urban areas by analyzing the footprints of buildings and obstacles. Precisely, an algorithm is described that estimates the four parameters required by the differential, dual-porosity formulation we recently presented. In this formulation, beside the common isotropic porosity accounting for the reduced storage volume due to buildings, a cell-based conveyance porosity is introduced in the momentum equations in tensor form to model anisotropic resistances and alterations in the flow direction due to presence of preferential pathways such as streets. A cell-averaged description of the spatial connectivity in the urban medium and of the preferential flow directions is the main ingredient for robust and mesh-independent estimates. To achieve this goal, the algorithm here presented automatically extracts the spatially distributed porosity fields of urban layouts relying only on geometrical information, thus avoiding additional calibration effort. The proposed method is described with the aid of schematic applications and then tested by simulating the flooding of complex urban areas using structured Cartesian grids. A Fortran implementation of the algorithm is made available for free download and use. |
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| AbstractList | •Flood modelling in real urban areas is a challenge for differential anisotropic porosity models.•Direction-dependent, cell-based conveyance porosity is not trivial to estimate.•A method is proposed to extract conveyance porosity fields from building footprints.•Straightforward application to complex urban layouts provides accurate results.•A Fortran numerical implementation of the proposed method is made available.
In the framework of porosity models for large-scale urban floods, this work presents a method to compute the spatial distribution of the porosity parameters of complex urban areas by analyzing the footprints of buildings and obstacles. Precisely, an algorithm is described that estimates the four parameters required by the differential, dual-porosity formulation we recently presented. In this formulation, beside the common isotropic porosity accounting for the reduced storage volume due to buildings, a cell-based conveyance porosity is introduced in the momentum equations in tensor form to model anisotropic resistances and alterations in the flow direction due to presence of preferential pathways such as streets. A cell-averaged description of the spatial connectivity in the urban medium and of the preferential flow directions is the main ingredient for robust and mesh-independent estimates. To achieve this goal, the algorithm here presented automatically extracts the spatially distributed porosity fields of urban layouts relying only on geometrical information, thus avoiding additional calibration effort. The proposed method is described with the aid of schematic applications and then tested by simulating the flooding of complex urban areas using structured Cartesian grids. A Fortran implementation of the algorithm is made available for free download and use. In the framework of porosity models for large-scale urban floods, this work presents a method to compute the spatial distribution of the porosity parameters of complex urban areas by analyzing the footprints of buildings and obstacles. Precisely, an algorithm is described that estimates the four parameters required by the differential, dual-porosity formulation we recently presented. In this formulation, beside the common isotropic porosity accounting for the reduced storage volume due to buildings, a cell-based conveyance porosity is introduced in the momentum equations in tensor form to model anisotropic resistances and alterations in the flow direction due to presence of preferential pathways such as streets. A cell-averaged description of the spatial connectivity in the urban medium and of the preferential flow directions is the main ingredient for robust and mesh-independent estimates. To achieve this goal, the algorithm here presented automatically extracts the spatially distributed porosity fields of urban layouts relying only on geometrical information, thus avoiding additional calibration effort. The proposed method is described with the aid of schematic applications and then tested by simulating the flooding of complex urban areas using structured Cartesian grids. A Fortran implementation of the algorithm is made available for free download and use. |
| ArticleNumber | 125193 |
| Author | Ferrari, Alessia Viero, Daniele P. |
| Author_xml | – sequence: 1 givenname: Alessia surname: Ferrari fullname: Ferrari, Alessia email: alessia.ferrari@unipr.it organization: Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43124 Parma, Italy – sequence: 2 givenname: Daniele P. surname: Viero fullname: Viero, Daniele P. email: daniele.viero@unipd.it organization: Department of Civil, Environmental and Architectural Engineering, University of Padova, via Loredan 20, 35131 Padova, Italy |
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| Keywords | Urban flood Spatially-distributed porosity field Anisotropic friction Structured grid Porosity model Conveyance porosity Porous shallow water equations |
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| Snippet | •Flood modelling in real urban areas is a challenge for differential anisotropic porosity models.•Direction-dependent, cell-based conveyance porosity is not... In the framework of porosity models for large-scale urban floods, this work presents a method to compute the spatial distribution of the porosity parameters of... |
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| SubjectTerms | algorithms Anisotropic friction anisotropy Conveyance porosity ingredients isotropy momentum porosity Porosity model Porous shallow water equations preferential flow Spatially-distributed porosity field Structured grid Urban flood |
| Title | Floodwater pathways in urban areas: A method to compute porosity fields for anisotropic subgrid models in differential form |
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