论文标题
使用贝叶斯框架进行热传导问题的表面转移系数估计
Surface transfer coefficients estimation for heat conduction problem using the Bayesian framework
论文作者
论文摘要
这项工作涉及二维非线性热传导问题，以确定顶部和侧面表面转移系数。 For this, the \textsc{B}ayesian framework with the \textsc{M}arkov Chain \textsc{M}onte \textsc{C}arlo algorithm is used to determine the posterior distribution of unknown parameters.为了应对计算负担，提出了一个总的一维模型。由于近似误差模型，在参数估计过程中考虑了集总模型近似值。实验是针对腔室呼吸机速度的多种配置进行的。实验观察是通过完整的测量不确定性传播获得的。通过解决逆问题，确定准确的概率分布。进行了其他研究以证明在准确性和计算提高方面，证明了集体模型的可靠性。
This work deals with an inverse two-dimensional nonlinear heat conduction problem to determine the top and lateral surface transfer coefficients. For this, the \textsc{B}ayesian framework with the \textsc{M}arkov Chain \textsc{M}onte \textsc{C}arlo algorithm is used to determine the posterior distribution of unknown parameters. To handle the computational burden, a lumped one-dimensional model is proposed. The lumped model approximations are considered within the parameter estimation procedure thanks to the Approximation Error Model. The experiments are carried out for several configurations of chamber ventilator speed. Experimental observations are obtained through a complete measurement uncertainty propagation. By solving the inverse problem, accurate probability distributions are determined. Additional investigations are performed to demonstrate the reliability of the lumped model, in terms of accuracy and computational gains.
