A well-balanced scheme for a transport equation with varying velocity and irregular opacities
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 interac...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2015-03-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201550007 |
| Summary: | 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. |
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| ISSN: | 2267-3059 |