Optimal Lumped Control of Moisture Transfer in Porous Media

• Published in: Cybernetics and systems analysis Vol. 59; no. 5; pp. 803 - 811
• Main Authors: Klyushin, D. A., Lyashko, S. I., Lyashko, N. I., Tymoshenko, A. A.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-09-2023; Springer; Springer Nature B.V
• Subjects: Algorithms; Artificial Intelligence; Control; Humidity; Mathematics; Mathematics and Statistics; Moisture; Optimization; Porous media; Processor Architectures; Richards theorem; Software Engineering/Programming and Operating Systems; Systems Theory; moisture transfer; control; optimization; porous medium; Richards equation
• ISSN: 1060-0396; 1573-8337
• DOI: 10.1007/s10559-023-00616-9

The authors propose an algorithm for finding the optimal source capacity for the two-dimensional quasi-linear Richards equation in a rectangular domain. The Kirchhoff transformation with scaling of coordinates and capacities of buried sources is used, which allows formulating a dimensionless problem. The existence of a solution to the problem of optimizing moisture transfer in an unsaturated porous medium is substantiated. The task of this study is to find the capacity of sources buried in a porous medium, such that the humidity distribution at the final instant of time is close to the given indicators or the objective function. The numerical solution approximates the optimal values of the sources.