Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626512 | Applied Mathematics and Computation | 2015 | 20 Pages |
Abstract
This paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jizu Huang, Liqun Cao, Chao Yang,