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In this paper, we consider a mathematical model of the adsorption process onto activated carbon, described in terms of a system of advection-adsorption PDEs. In previous works, it was shown that there are stability issues when solving the system numerically. Here, we propose a semi-implicit scheme that allows for the efficient solution of the differential problem. We show its robustness based on numerical experiments for various values of the model parameters. Also, we study numerically its rate of convergence and computational times for various numbers of the contaminants in the water.

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Numerical Simulations of the Process of Adsorption Onto Activated Carbon in Water Treatment Applications

  • 会议论文

  • 发表日期：

    2025年

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  • Maria N. Zarcheva,
  • Tihomir B. Ivanov

摘要

In this paper, we consider a mathematical model of the adsorption process onto activated carbon, described in terms of a system of advection-adsorption PDEs. In previous works, it was shown that there are stability issues when solving the system numerically. Here, we propose a semi-implicit scheme that allows for the efficient solution of the differential problem. We show its robustness based on numerical experiments for various values of the model parameters. Also, we study numerically its rate of convergence and computational times for various numbers of the contaminants in the water.