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18 Shallow Water Models with Porosity for Urban Flood Modeling

Part 2. Hydroinformatics

  1. Vincent Guinot

Published Online: 15 APR 2006

DOI: 10.1002/0470848944.hsa015

Encyclopedia of Hydrological Sciences

Encyclopedia of Hydrological Sciences

How to Cite

Guinot, V. 2006. Shallow Water Models with Porosity for Urban Flood Modeling. Encyclopedia of Hydrological Sciences. 2:18.

Author Information

  1. Hydrosciences Montpellier, Université Montpellier 2, Montpellier Cedex 5, France

Publication History

  1. Published Online: 15 APR 2006

Abstract

The modeling of urban floods has to cope with highly variable geometries and flow parameters. Among the various types of models available, distributed, physically based models offer the best insight into the processes. However, the application of such models to refined urban flood modeling is not foreseeable in the near future. An alternative approach could be to use two-dimensional macroscopic models based on a modified version of the classical shallow–water equations, in which the fraction of the land surface occupied by the buildings is accounted for via a porosity. In such models, a cell covers part or totality of a house block. Such models provide a viable alternative to classical semidistributed models, as illustrated by a computational example on a small-sized urban area.

Keywords:

  • distributed, physically-based models;
  • shallow water equations;
  • shock-capturing schemes;
  • upscaling;
  • urban flood modelling