Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer
Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer
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DOI：
10.1016/j.ijheatmasstransfer.2008.04.048
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发表时间：
2008-12
影响因子：
5.2
通讯作者：
Ben-Wen Li;Yasong Sun;Yang Yu
中科院分区：
文献类型：
--
作者：
Ben-Wen Li;Yasong Sun;Yang Yu
本文提出了一维辐射换热方程的Chebyshev配点谱方法，并给出了相应的迭代和直接解法。新方法的实现显示了它的灵活性，复杂的问题：高度各向异性和空间相关的散射。新的求解器可以在空间中提供指数收敛，并且可以捕获大的振荡。数值结果验证了新方法的高精度，以及与其他新方法相比的竞争力。
In this paper, the Chebyshev collocation spectral method for one-dimensional radiative heat transfer equation with participating media is presented; and sequentially the iterative and direct solvers are developed. Implementation of the new method shows its flexibility to complex problems: highly anisotropic and space-dependent scattering. The new solvers can provide exponential convergence in space and can capture large oscillations. Numerical results verified the high accuracy of the new method, and its competitive ability compared with other newly appeared methods.