Multiscale solutions of radiative heat transfer by the discrete unified gas kinetic scheme

Physical Review. E
Xiao-Ping LuoHe-Ping Tan

Abstract

The radiative transfer equation (RTE) has two asymptotic regimes characterized by the optical thickness, namely, optically thin and optically thick regimes. In the optically thin regime, a ballistic or kinetic transport is dominant. In the optically thick regime, energy transport is totally dominated by multiple collisions between photons; that is, the photons propagate by means of diffusion. To obtain convergent solutions to the RTE, conventional numerical schemes have a strong dependence on the number of spatial grids, which leads to a serious computational inefficiency in the regime where the diffusion is predominant. In this work, a discrete unified gas kinetic scheme (DUGKS) is developed to predict radiative heat transfer in participating media. Numerical performances of the DUGKS are compared in detail with conventional methods through three cases including one-dimensional transient radiative heat transfer, two-dimensional steady radiative heat transfer, and three-dimensional multiscale radiative heat transfer. Due to the asymptotic preserving property, the present method with relatively coarse grids gives accurate and reliable numerical solutions for large, small, and in-between values of optical thickness, and, especial...Continue Reading

References

Feb 1, 1993·Applied Optics·K J GrantK L Williams
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhaoli GuoRuijie Wang
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhaoli GuoKun Xu
Sep 15, 2016·Physical Review. E·Hong-Liang YiHe-Ping Tan
Mar 17, 2017·Physical Review. E·Lianhua Zhu, Zhaoli Guo
Aug 12, 2016·Light, Science & Applications·Mangirdas MalinauskasSaulius Juodkazis

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Citations

Nov 21, 2020·Physical Review. E·Yong Chen, Yimin Xuan

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