Paper Info
Title
Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion.
Abstract
Motivated by providing well-behaved fully discrete schemes in practice, this paper extends the asymptotic analysis on time integration methods for non-equilibrium radiation diffusion in [2] to space discretizations. Therein studies were carried out on a two-temperature model with Larsen's flux-limited diffusion operator, both the implicitly balanced (IB) and linearly implicit (LI) methods were shown asymptotic-preserving. In this paper, we focus on asymptotic analysis for space discrete schemes in dimensions one and two. First, in construction of the schemes, in contrast to traditional first-order approximations, asymmetric second-order accurate spatial approximations are devised for flux-limiters on boundary, and discrete schemes with second-order accuracy on global spatial domain are acquired consequently. Then by employing formal asymptotic analysis, the first-order asymptotic-preserving property for these schemes and furthermore for the fully discrete schemes is shown. Finally, with the help of manufactured solutions, numerical tests are performed, which demonstrate quantitatively the fully discrete schemes with IB time evolution indeed have the accuracy and asymptotic convergence as theory predicts, hence are well qualified for both non-equilibrium and equilibrium radiation diffusion.
Year
DOI
Venue
2016
10.1016/j.jcp.2016.02.061
Journal of Computational Physics
Keywords
Field
DocType
Non-equilibrium radiation diffusion,Spatially discrete schemes,Asymptotic-preserving,Second-order accuracy,Asymptotic analysis
Convergence (routing),Numerical tests,Mathematical optimization,First order,Mathematical analysis,Time evolution,Operator (computer programming),Asymptotic analysis,Radiation,Mathematics
Journal
Volume
Issue
ISSN
313
C
0021-9991
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Xia Cui100.68
Guangwei Yuan216523.06
Zhijun Shen373.73