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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >A multi-level adaptive solution strategy for 3D inverse problems in pool boiling
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A multi-level adaptive solution strategy for 3D inverse problems in pool boiling

机译：池沸腾3D反问题的多级自适应求解策略

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Purpose - The purpose of this paper is to present an efficient algorithm based on a multi-level adaptive mesh refinement strategy for the solution of ill-posed inverse heat conduction problems arising in pool boiling using few temperature observations. Design/methodology/approach - The stable solution of the inverse problem is obtained by applying the conjugate gradient method for the normal equation method together with a discrepancy stopping rule. The resulting three-dimensional direct, adjoin and sensitivity problems are solved numerically by a space-time finite element method. A multi-level computational approach, which uses an a posteriori error estimator to adaptively refine the meshes on different levels, is proposed to speed up the entire inverse solution procedure. Findings - This systematic approach can efficiently solve the large-scale inverse problem considered without losing necessary detail in the estimated quantities. It is shown that the choice of different termination parameters in the discrepancy stopping conditions for each level is crucial for obtaining a good overall estimation quality. The proposed algorithm has also been applied to real experimental data in pool boiling. It shows high computational efficiency and good estimation quality. Originality/value - The high efficiency of the approach presented in the paper allows the fast processing of experimental data at many operating conditions along the entire boiling curve, which has been considered previously as computationally intractable. The present study is the authors' first step towards a systematic approach to consider an adaptive mesh refinement for the solution of large-scale inverse boiling problems.
机译：目的-本文的目的是提出一种基于多级自适应网格细化策略的有效算法，该算法可使用很少的温度观测值解决由池沸腾引起的不适定的逆热传导问题。设计/方法/方法-通过将共轭梯度法与正态方程法一起应用以及差异停止规则，可以得到反问题的稳定解。由此产生的三维直接，邻接和灵敏度问题可以通过时空有限元方法数值求解。提出了一种使用后验误差估计器在不同级别上自适应细化网格的多级计算方法，以加快整个逆求解过程。调查结果-这种系统的方法可以有效地解决所考虑的大规模逆问题，而不会丢失估计数量中的必要细节。结果表明，对于每个级别，在差异停止条件下选择不同的终止参数对于获得良好的总体估算质量至关重要。所提出的算法也已应用于池沸腾的真实实验数据。它显示出高计算效率和良好的估计质量。原创性/价值-本文中介绍的方法的高效率允许沿着整个沸腾曲线在许多操作条件下快速处理实验数据，这在以前一直被认为是计算上难以处理的。本研究是作者迈向考虑大规模逆沸腾问题求解的自适应网格细化的系统方法的第一步。

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