多孔介质中水分传递源位置的优化控制

Andrii Tymoshenko, Dmitriy Klyushin, Sergey Lyashko, Natalia Lyashko
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引用次数: 0

摘要

本文提出了一种为矩形区域内的准线性理查兹方程寻找已知功率源最佳位置的方法。在应用基尔霍夫变换时,引入了淹没源的坐标和功率缩放,从而可以提出一个无量纲问题。本研究的任务是找到淹没源的位置,使最后时刻的湿度分布接近给定值或给定目标函数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimal Control of the Position of Moisture Transfer Sources in Porous Media
The paper proposes an approach for finding the optimal position of sources of known power for the quasi-linear Richards equation in a rectangular area. The Kirchhoff transformation is applied with the introduced scaling of coordinates and powers of submerged sources, which allows formulating a dimensionless problem. The task of this study is to find the position of submerged sources - such that the distribution of moisture at the final moment of time is close to the given values or the given target function.
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