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Numerical analysis of time integration errors for nonequilibrium radiation diffusion

✍ Scribed by D.A. Knoll; R.B. Lowrie; J.E. Morel

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
269 KB
Volume
226
Category
Article
ISSN
0021-9991

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✦ Synopsis

Numerical analysis of time integration errors for nonequilibrium radiation diffusion is considered. Two first-order implicit time integration methods are studied. Asymptotic analysis and modified equation analysis are applied to both time integration methods. Numerical experiments are used to highlight the results of the analysis. Asymptotic analysis is used to highlight the source of temperature spiking when a hot radiation wave propagates into a cold material. Modified equation analysis is used to provide insight into the thermal wave speed coming from the two different first-order methods.

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