Stability of explicit radiation-material coupling in radiative transfer calculations Academic Article

abstract

• We show that explicit radiation-material coupling, which is essentially always stable for infrared radiative transfer is conditionally stable in the high energy density regime. A linearized stability analysis is first performed for a simple infinite-medium problem that yields both a criterion for unconditional stability, a time-step restriction that applies for conditional stability, and a time-step criterion that always applies for non-oscillatory solutions. This analysis is then extended to include space dependence with the result that the system is always conditionally stable, but with a time step restriction somewhat different from the infinite-medium case. Nonetheless, the time step restriction for non-oscillatory solutions remains the same. Computations are presented that confirm the predictions of our analysis, and conclusions are given. 2011 Elsevier Ltd.

authors

• Morel, Jim

published proceedings

• JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER

author list (cited authors)

• Morel, J. E., & McClarren, R.

citation count

• 3

complete list of authors

• Morel, Jim E||McClarren, Ryan

publication date

• July 2011

publisher

• Elsevier  Publisher

published in

• Journal of Quantitative Spectroscopy and Radiative Transfer  Journal

keywords

• Radiation-material Coupling
• Radiative Transfer

Digital Object Identifier (DOI)

• 10.1016/j.jqsrt.2011.03.013

start page

• 1518

end page

• 1524

volume

• 112

issue

• 10

URL

• http://dx.doi.org/10.1016/j.jqsrt.2011.03.013