Solving an inverse problem with four unknown boundary conditions in a lid-driven cavity with heated walls using the levenberg-marquardt method

IF 2.2 Q2 ENGINEERING, MULTIDISCIPLINARY
Mojtaba Khosravi, Mohammad Mohammadiun, Hamid Mohammadiun, Mohammad hossein Dibaei bonab, Vali parvaneh
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引用次数: 0

Abstract

This study investigates the application of the Levenberg-Marquardt method in solving inverse heat transfer problems for a lid-driven cavity with four unknown thermal boundary conditions. The direct problem is solved using computational fluid dynamics (CFD) techniques implemented in OpenFOAM, employing the URANS equations. The numerical framework is first validated against experimental data from literature for a cavity with known boundary conditions. The inverse analysis focuses on simultaneously estimating four wall temperatures using temperature measurements at various sensor locations. The effects of sensor quantity and placement, algorithm parameters (fractional increment and damping coefficient), and measurement noise on the solution accuracy are systematically examined. The algorithm demonstrates robust convergence using a fractional increment of 0.0001 and an initial damping value of 1.0. It also maintains stability and accuracy even when measurement noise reaches up to 10 % of the maximum temperature difference. Under various conditions, the proposed approach consistently converges in approximately 12 iterations, confirming its effectiveness for simultaneously estimating multiple thermal boundary conditions in enclosed cavities. This study contributes to the development of reliable inverse methods for industrial applications involving natural convection in temperature-controlled chambers.
用levenberg-marquardt方法求解带有加热壁的盖驱动腔中四个未知边界条件的逆问题
本文研究了Levenberg-Marquardt方法在求解具有四种未知热边界条件的盖驱动腔的反传热问题中的应用。直接的问题是使用OpenFOAM中实现的计算流体动力学(CFD)技术,采用URANS方程来解决的。数值框架首先通过文献中已知边界条件的空腔实验数据进行验证。逆分析的重点是利用不同传感器位置的温度测量同时估计四壁温度。系统地考察了传感器数量和位置、算法参数(分数增量和阻尼系数)和测量噪声对求解精度的影响。该算法使用分数增量0.0001和初始阻尼值1.0证明了鲁棒收敛性。即使测量噪声达到最大温差的10%,它也能保持稳定性和准确性。在各种条件下,所提出的方法在大约12次迭代中始终收敛,证实了其同时估计封闭腔内多个热边界条件的有效性。这项研究有助于开发可靠的逆方法,用于工业应用,涉及温控室中的自然对流。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Applications in engineering science
Applications in engineering science Mechanical Engineering
CiteScore
3.60
自引率
0.00%
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0
审稿时长
68 days
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