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Singh, M., Singh, C. and Dasaroju, G. (2016) Modelling for Flow through Unsaturated Porous Media with Constant and Variable Density Conditions Using Local Thermal Equilibrium. 4th International Conference on Advancements in Engineering and Technology (ICAET-2016), Sangrur, 18-19 March 2016, 24-30.

has been cited by the following article:

• TITLE: Topological Optimization of a Generalized Model of Pollution in Porous Media without Density Assumptions

  AUTHORS: Mouhamadou Baïdy Dia, Ibrahima Sagno, Lansana Toure, Mouctar Ndiaye, Alassane Sy, Ibrahima Faye

  KEYWORDS: Topological Gradient, Pollutant Transfer, Porous Media, Least-Squares Functional, Topological Optimization, Topological Gradient Descent of Direction

  JOURNAL NAME: Open Journal of Optimization, Vol.14 No.3, July 25, 2025

  ABSTRACT: This study focuses on the numerical topological gradient applied to a model of pollutant transfer in porous media, obtained by removing assumptions regarding critical parameters such as density and conductivity. A generalized model of pollutant transport dynamics in porous media was developed without any assumptions regarding the density and conductivity. Topological optimization is then applied to minimize the least-squares function associated with the system representing the model. This study demonstrates the effectiveness of this approach in both two-dimensional (2D) and three-dimensional (3D) configurations, providing insights into the optimal structural design of porous media to mitigate pollution transfer.