Water Science and Technology; Hydrodynamic modelling; Pollutant transport; Diffusivity
Abstract :
This article reviews the mathematical formulations of the depth‐integrated advection‐diffusion equation used so far for modeling scalar transport and mixing in shallow environmental flows. It also summarizes the main approaches developed to evaluate the diffusivity tensor in such models. Remarkably, seven different formulations were found for the depth‐averaged advection‐diffusion equation, and eight distinct approaches have been used for determining the coefficients of the diffusivity tensor. Besides, only a minority of the reviewed studies report calibration of the diffusivity tensor against experimental or field observations. The fragmentation of existing methodologies exhibits a lack of scientific consensus. Promising approaches are highlighted and possible paths for improving the calibration, validation and transferability of the diffusivity coefficients are outlined.
Research center :
UEE - Urban and Environmental Engineering - ULiège [BE]
Disciplines :
Civil engineering
Author, co-author :
Mignot, Emmanuel ; LMFA University of Lyon INSA Lyon CNRS Ecole Centrale Lyon Université Claude Bernard Lyon and UMR5509 Villeurbanne France
Riviere, Nicolas ; LMFA University of Lyon INSA Lyon CNRS Ecole Centrale Lyon Université Claude Bernard Lyon and UMR5509 Villeurbanne France
Dewals, Benjamin ; Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Language :
English
Title :
Formulations and Diffusivity Coefficients of the 2D Depth‐Averaged Advection‐Diffusion Models: A Literature Review
Publication date :
08 December 2023
Journal title :
Water Resources Research
ISSN :
0043-1397
eISSN :
1944-7973
Publisher :
American Geophysical Union (AGU)
Volume :
59
Issue :
12
Pages :
e2023WR035053
Peer reviewed :
Peer Reviewed verified by ORBi
Development Goals :
6. Clean water and sanitation 11. Sustainable cities and communities 14. Life below water
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