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Solution of radiative heat transfer in graded index media by least square spectral element method

机译:最小二乘谱元素法求解梯度折射率介质中的辐射传热

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摘要

Least square spectral element method based on discrete-ordinates equation is extended to solve multidimensional radiative heat transfer problems in semitransparent graded index media. Chebyshev polynomial is employed as expansion set for the spectral element discretization. Five various test problems were taken as examples to verify the least square spectral element formulation for solving radiative heat transfer in semitransparent graded index media. The predicted distributions of temperature and radiative heat flux are determined by the least square spectral element method and compared with data in the references. The results show that the least square spectral element method has good accuracy for solving multidimensional radiative heat transfer problems in semitransparent graded index media.
机译:扩展了基于离散坐标方程的最小二乘谱元素法,以解决半透明梯度折射率介质中的多维辐射传热问题。 Chebyshev多项式被用作频谱元素离散化的扩展集。以五个不同的测试问题为例,以验证最小二乘谱元素公式用于解决半透明渐变折射率介质中的辐射传热问题。通过最小二乘谱元素法确定温度和辐射热通量的预测分布,并与参考文献中的数据进行比较。结果表明,最小二乘谱元素法在解决半透明梯度折射率介质中的多维辐射传热问题上具有良好的精度。

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