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首页> 外文期刊>International Journal of Heat and Mass Transfer >Chebyshev collocation spectral approach for combined radiation and conduction heat transfer in one-dimensional semitransparent medium with graded index
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Chebyshev collocation spectral approach for combined radiation and conduction heat transfer in one-dimensional semitransparent medium with graded index

机译：带梯度指数的一维半透明介质中辐射与传导传热结合的Chebyshev配位谱方法

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摘要

The Chebyshev collocation spectral method for discrete ordinates equation is presented to solve combined radiation and conduction heat transfer problem in semitransparent graded index media. The angular dependence of the problem is discretized by discrete ordinates method, and the space dependence is expressed by Chebyshev polynomial and discretized by collocation spectral method. The exponential convergence characteristic of the spectral methods is studied. The comparisons between the present results and those available in references indicate that, the Chebyshev collocation spectral-discrete ordinates method (SP-DOM so called) for combined radiation and conduction heat transfer in one-dimensional semitransparent medium with graded index is accurate and efficient.
机译：为了解决半透明梯度折射率介质中的辐射与传导传热相结合的问题，提出了一种用于离散坐标方程的Chebyshev配置谱方法。问题的角度依赖性通过离散坐标法离散化，空间依赖性通过Chebyshev多项式表示，并通过搭配谱方法离散化。研究了谱方法的指数收敛特性。本结果与参考文献中的结果之间的比较表明，用于带梯度折射率的一维半透明介质中的辐射和传导热传递的切比雪夫搭配光谱离散坐标法（SP-DOM所谓的SP-DOM）是准确而有效的。

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