Abstract The boundary heat transfer coefficient (BHTC) and thermal conductivity are the most essential thermal physical parameters, which have a significant effect on the calculation accuracy of physical fields in the numerical simulation. To simultaneously estimate the temperature-dependent BHTC and thermal conductivity by solving the inverse heat conduction problem (IHCP), a hybrid method (ZPSO) based on particle swarm optimization algorithm (PSO), normal distribution method and finite element method (FEM) is presented, where normal distribution method representing the transient solution space is used to improve the convergence speed. A two-dimensional direct heat conduction problem (DHCP) with the temperature-dependent thermal-physical parameters is simulated based on FEM. Some temperature curves at certain position of FEM model are attained in the simulation. The temperature-dependent BHTC and thermal conductivity are simultaneously evaluated by PSO–FEM and ZPSO–FEM according to the temperature curves attained in DHCP. Comparing the temperature-dependent thermal-physical parameters attained in the IHCP to that used in the DHCP, the results show that the BHTC and thermal conductivity evaluated by the ZPSO are well consistent with those used in the DHCP. The evaluation results show that the convergence of the hybrid method is well, and the convergence speed is accelerated by the ZPSO.

中文翻译：

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基于粒子群优化算法、正态分布和有限元法的多目标逆热传导问题评估

摘要 边界传热系数（BHTC）和热导率是最基本的热物理参数，在数值模拟中对物理场的计算精度有显着影响。为了通过求解逆热传导问题 (IHCP) 同时估计温度相关的 BHTC 和热导率，提出了一种基于粒子群优化算法 (PSO)、正态分布法和有限元法 (FEM) 的混合方法 (ZPSO)。 ，其中使用表示瞬态解空间的正态分布方法来提高收敛速度。基于有限元法模拟了具有温度相关热物理参数的二维直接热传导问题 (DHCP)。仿真得到了有限元模型某一位置的温度曲线。根据 DHCP 中获得的温度曲线，PSO-FEM 和 ZPSO-FEM 同时评估温度相关的 BHTC 和热导率。将 IHCP 中获得的与温度相关的热物理参数与 DHCP 中使用的参数进行比较，结果表明 ZPSO 评估的 BHTC 和热导率与 DHCP 中使用的非常一致。评价结果表明，混合方法收敛性良好，ZPSO加快了收敛速度。将 IHCP 中获得的与温度相关的热物理参数与 DHCP 中使用的参数进行比较，结果表明 ZPSO 评估的 BHTC 和热导率与 DHCP 中使用的非常一致。评价结果表明，混合方法收敛性良好，ZPSO加快了收敛速度。将 IHCP 中获得的与温度相关的热物理参数与 DHCP 中使用的参数进行比较，结果表明 ZPSO 评估的 BHTC 和热导率与 DHCP 中使用的非常一致。评价结果表明，混合方法收敛性良好，ZPSO加快了收敛速度。