Ismail Oubarka – Mathematics and Decision

$\begin{quote} \begin{center} \textbf{A robust and well-balanced finite volume solver for investigating the effects of tides on water renewal timescale in semi-enclosed environments} \end{center} \medskip In this study, we utilize the Constituent-oriented Age and Residence Time Theory to investigate timescales associated with water renewal in semi-enclosed domains, with a particular focus on the Nador Lagoon. Our modeling approach adopts an Eulerian framework and integrates two interconnected components: (i) the shallow-water equations for hydrodynamics and (ii) a transport equation for passive tracers. These components are seamlessly integrated into a high-order finite volume solver that operates on unstructured meshes. To accurately account for advection processes and accommodate topographic variations, we employ a Non-Homogeneous Riemann Solver (SRNH). Our primary objective is to explore recirculation phenomena within the Nador Lagoon and, more specifically, to quantify the residence time of water within this unique coastal environment. Through a comprehensive numerical investigation, we aim to ascertain the need for, and potential locations of, additional channels con- necting the lagoon to the Mediterranean Sea. Such channels, if deemed necessary, can potentially reduce the residence time of specific tracers within the lagoon. This study contributes valuable insights into the dynamic behavior of semi-enclosed coastal domains and provides a scientific basis for informed decision making regarding the management and conservation of these fragile ecosystems. \end{quote}$