Numerical analysis of time integration errors for nonequilibrium radiation diffusion

abstract

• 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. 2007 Elsevier Inc. All rights reserved.

authors

• Morel, Jim

published proceedings

• JOURNAL OF COMPUTATIONAL PHYSICS

author list (cited authors)

• Knoll, D. A., Lowrie, R. B., & Morel, J. E.

citation count

• 18

complete list of authors

• Knoll, DA||Lowrie, RB||Morel, JE

publication date

• October 2007

publisher

• Elsevier  Publisher

published in

• Journal of Computational Physics  Journal

keywords

• Asymptotic Analysis
• Modified Equation Analysis
• Radiation Diffusion

Digital Object Identifier (DOI)

• 10.1016/j.jcp.2007.05.034

start page

• 1332

end page

• 1347

volume

• 226

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jcp.2007.05.034