Geodesic
A well-balanced scheme for a transport equation with varying velocity and irregular opacities
Thomas Leroy1
1 CEA, DAM, DIF, F-91297 Arpajon, France, and Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France
ESAIM. Proceedings, Tome 50 (2015), pp. 133-143.

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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.
DOI : 10.1051/proc/201550007

Thomas Leroy 1

1 CEA, DAM, DIF, F-91297 Arpajon, France, and Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France 
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Thomas Leroy. A well-balanced scheme for a transport equation with varying velocity and irregular opacities. ESAIM. Proceedings, Tome 50 (2015), pp. 133-143. doi : 10.1051/proc/201550007. http://geodesic.mathdoc.fr/articles/10.1051/proc/201550007/

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