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首页> 外文期刊>Computational thermal sciences >THE BOUNDARY DESIGN OF A TWO-DIMENSIONAL CAVITY WITH FREE CONVECTION BY THE CONJUGATE GRADIENT METHOD
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THE BOUNDARY DESIGN OF A TWO-DIMENSIONAL CAVITY WITH FREE CONVECTION BY THE CONJUGATE GRADIENT METHOD

机译：共轭梯度法二维自由对流型腔的边界设计

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摘要

An inverse analysis is employed to estimate the unknown temperature distribution over the heater surface of a square cavity with natural convection from the knowledge of desired temperature and heat flux distributions over a given design surface. The direct problem of natural convection in a square cavity is solved by the finite volume method. The conjugate gradient method is used for minimization of an objective function, which is expressed by the sum of square residuals between estimated and desired temperatures over the design surface. The performance and accuracy of the present method for solving inverse convection heat-transfer problems is evaluated by comparing the results with a benchmark problem and a numerical experiment.
机译：从已知的给定设计表面上的温度和热通量分布的知识出发，采用逆分析来估算自然对流下方腔加热器表面上的未知温度分布。方腔内自然对流的直接问题是通过有限体积法解决的。共轭梯度法用于最小化目标函数，该目标函数由设计表面上估计温度和期望温度之间的平方残差之和表示。通过将结果与基准问题和数值实验进行比较，评估了本方法解决对流换热问题的性能和准确性。

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