Synthèse
Volume 30, Numéro 2, Pages 22-26
2025-12-01
Theoretical And Numerical Results For The 2-d Of The Regularised Saint-venant System Coupled With The Transport Equation
Authors : Lachache Mohammed . Nouri Fatma Zohra .
Abstract
In this work, we study the transport of a passive pollutant by a flow modeled using the Saint-Venant system. For that, we take into ac- count a regularisation of the Saint-Venant system to describe the flows in rivers and lakes, to which we add a transport equation. We derive a mathematical model and present theoretical results on its well-posedness. Finally, using a reliable finite difference scheme, we discretized the proposed model and provide numerical results to demonstrate the effective behavior of the phenomena
Keywords
saint-venant system ; transport equation ; mathematical model
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