Abstract The purpose of this work is to create a new algorithm for solving an inverse transient heat conduction problem in any extended complex domain. If the problem cannot be solved in the entire region under analysis, the domain is divided into parts and free boundary conditions are introduced between them. Then the solution is carried out in subsequent parts of the field. Depending on the shape and dimensions of the analysed part, an appropriate location of the temperature sensors, the amount and size of the control volumes, the time step and a convenient way to filter the temperature distribution over time and space can be proposed. Such actions make it possible to achieve better stabilization of the inverse method and obtain the solution in the whole area. The proposed procedure in subsequent parts of the domain belongs to the group of space marching methods. The analysis starts on the surface where temperature sensors are located and marches through space sequentially to the surface with an unknown boundary condition. The proposed algorithm can be used to optimize the power unit start-up and shutdown operation. It may also enable a reduction in the heat loss arising during the process and extend the power unit life. The presented procedure can be applied in monitoring systems working both in conventional and nuclear power plants.

中文翻译：

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求解逆瞬态热传导问题的一种新算法，将复杂域分解为多个部分

摘要 这项工作的目的是创建一种新算法，用于解决任何扩展复杂域中的逆瞬态热传导问题。如果在整个分析区域内无法解决问题，则将域划分为多个部分，并在它们之间引入自由边界条件。然后在该领域的后续部分执行该解决方案。根据分析零件的形状和尺寸，可以建议温度传感器的适当位置、控制体积的数量和大小、时间步长以及过滤温度随时间和空间分布的便捷方法。这样的动作可以使逆方法得到更好的稳定性，得到整个区域的解。该领域后续部分中提出的程序属于空间行进方法组。分析从温度传感器所在的表面开始，并以未知的边界条件依次穿过空间到达表面。所提出的算法可用于优化功率单元的启动和关闭操作。它还可以减少过程中产生的热损失并延长动力装置的使用寿命。所提出的程序可应用于在常规和核电厂中工作的监测系统。所提出的算法可用于优化功率单元的启动和关闭操作。它还可以减少过程中产生的热损失并延长动力装置的使用寿命。所提出的程序可应用于在常规和核电厂中工作的监测系统。所提出的算法可用于优化功率单元的启动和关闭操作。它还可以减少过程中产生的热损失并延长动力装置的使用寿命。所提出的程序可应用于在常规和核电厂中工作的监测系统。