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Mathematical formulations of shallow water models with porosity for urban flood modeling
Bruwier, Martin; Erpicum, Sébastien; Archambeau, Pierre et al.
2014In ICHE 2014 : 11th International Conference on Hydroscience & Engineering
 

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Abstract :
[en] Due to climate change and other environmental changes such as growing urbanization, floods are expected to become more frequent and severe in the future. However, the magnitude of these changes remains highly uncertain. This calls generally for the analysis of a high number of scenarios and, therefore, many runs of the numerical models are necessary. Simultaneously, high-resolution topographic data have become widely available. Consequently, the present need is mainly for high performance computational models which take full benefit of the available detailed data, combining thus accuracy and high efficiency. One way to meet this challenge is the development of subgrid models. Within each computational cell of a subgrid model, the topography is represented by porosity parameters. The existing approaches for the derivation of the shallow water equations (SWE) with porosity differ in the mathematical formulations obtained, in the assumptions, in the applicability range of the models as well as in the definitions of the porosities (depthdependent/depth-independent, isotropic/anisotropic). In this paper, we review and compare the different formulations, highlight their respective limitations and criticaly analyse the major assumptions.
Disciplines :
Civil engineering
Author, co-author :
Bruwier, Martin ;  Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Erpicum, Sébastien  ;  Université de Liège - ULiège > Scientifiques attachés au Doyen (Sc.appliquées)
Archambeau, Pierre  ;  Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Pirotton, Michel ;  Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Dewals, Benjamin  ;  Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Language :
English
Title :
Mathematical formulations of shallow water models with porosity for urban flood modeling
Publication date :
2014
Event name :
ICHE 2014 : 11th International Conference on Hydroscience & Engineering
Event place :
Hamburg, Germany
Event date :
28 September to 2 October 2014
Audience :
International
Main work title :
ICHE 2014 : 11th International Conference on Hydroscience & Engineering
Name of the research project :
ARC - Floodland
Available on ORBi :
since 27 February 2014

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