| Issue |
ESAIM: Proc.
Volume 50, March 2015
CANUM 2014 - 42e Congrès National d'Analyse Numérique
|
|
|---|---|---|
| Page(s) | 133 - 143 | |
| DOI | https://doi.org/10.1051/proc/201550007 | |
| Published online | 20 March 2015 | |
A well-balanced scheme for a transport equation with varying velocity and irregular opacities
CEA, DAM, DIF, F-91297 Arpajon, France, and Laboratoire
Jacques-Louis Lions, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France ,
thomas.leroy@ljll.math.upmc.fr
An equation for photons containing a frequency drift term modeling the Doppler effects and an emission absorption coefficient is considered. On the one hand, this frequency drift term involves a coefficient κ relative to the fluid velocity with which the photons interact. This coefficient may vanish, leading to numerical difficulties. On the second hand, the emission absorption σ is known to be very irregular with respect to the frequency, and thus the design of well-balanced scheme is a mathematical issue. In this work are presented new numerical results for the spectrally well-balanced scheme in the context of highly irregular opacities.
© EDP Sciences, SMAI 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.