Numerical and Analytical study of Water Pollution Dynamics in a 3-D Aquatic Region using Diffusion-Advection Model
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Abstract
Water pollution is a significant environmental issue that damage community health, aquatic life diversity, and the sustainable use of natural resources. Precise mathematical models are essential for representing and predicting pollutant movement in three-dimensional (3-D) water environments. This research introduces a 3-D diffusion-advection model aimed at examining the spatial and temporal fluctuations of pollution levels in aquatic systems. The aim is to describe the progressive accumulation of pollution in a 3-D space and to assess the efficiency of both analytical and numerical methods to addressed the diffusion-advection model. The analytical expression is obtained through the Adomian Decomposition Method (ADM), whereas the Du Fort–Frankel (DF) method serves as the numerical approach. The model employs initial and boundary conditions derived from experimented data (Exp. data) performed in a 3-D cuboid tank where water as a medium and an iodized salt water solution act as the pollutant. Pollution levels are assessed at various 3-D grid location within the tank over time to confirm the model's accuracy. The results obtained indicate a consistent rise in pollutant levels that align closely with both ADM and DF solutions. The insignificant variations, indicated in parts per million (PPM), emphasize the precision and dependability of the suggested model. In general, the combination of experimental findings with analytical and numerical methods creates a reliable foundation for studying pollutant dispersion in three-dimensional water systems. The study enhances modelling methods for diffusion–advection processes and offers important insights for water quality evaluation, environmental protection, and sustainable resource management.
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References
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