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Contribution à la modélisation numérique du transport de polluants en rivière

Abstract : When dealing with environmental problems in natural water bodies, some knowledge of the flow dynamics is usually required, more or less precise according to the problem at hand. Mathematical models are useful tools for providing this insight. The present work deals with the development of a two-dimensional, depth-averaged, model of surface flow and transport, designed to perform local but detailed analysis of pollutants dilution. Prior to undertaking its elaboration, we tried to achieve a global understanding of the various physical phenomena controlling flow and transport, of their usual representations and of the scope of techniques available in the field of computational hydraulics. Key options were chosen based on this review (choice of a finite differences method and of a fractional step approach). Then, we have been focussing : - on the computation of advective terms when advection is predominant over dispersion, which occurs often in the first stages of pollutant dilution; - on the solution of propagation and friction terms, particularly important in fluvial hydraulics. The followed methodology consists of the systematic application of benchmark tests which allow an objective ranking of different numerical algorithms, considering at the same time their accuracy, robustness and computational efficiency. The ability of the proposed model to deal with full scale situations is illustrated by the interpretation of a dye-tracing experiment in the Seine River. This example demonstrates the power of prediction of this kind of tool with respect to simpler models less faithful to the physics.
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Submitted on : Friday, November 26, 2010 - 11:44:54 AM
Last modification on : Thursday, April 5, 2018 - 11:01:48 AM
Long-term archiving on: : Sunday, February 27, 2011 - 2:29:53 AM


  • HAL Id : tel-00523060, version 1


Laure Simon. Contribution à la modélisation numérique du transport de polluants en rivière. Modélisation et simulation. Ecole Nationale des Ponts et Chaussées, 1995. Français. ⟨tel-00523060⟩



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