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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Main Author:	Leroy Thomas
Format:	Article
Language:	English
Published:	EDP Sciences 2015-03-01
Series:	ESAIM: Proceedings and Surveys
Online Access:	http://dx.doi.org/10.1051/proc/201550007

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spelling	doaj-7451666261ff4655a6258dabc6fbd74b2021-07-15T14:11:13ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592015-03-015013314310.1051/proc/201550007proc155007A well-balanced scheme for a transport equation with varying velocity and irregular opacitiesLeroy Thomas0CEA, DAM, DIF, F-91297 Arpajon, France, and Laboratoire Jacques-Louis Lions, Université Pierre et Marie CurieAn 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.http://dx.doi.org/10.1051/proc/201550007
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Leroy Thomas
spellingShingle	Leroy Thomas A well-balanced scheme for a transport equation with varying velocity and irregular opacities ESAIM: Proceedings and Surveys
author_facet	Leroy Thomas
author_sort	Leroy Thomas
title	A well-balanced scheme for a transport equation with varying velocity and irregular opacities
title_short	A well-balanced scheme for a transport equation with varying velocity and irregular opacities
title_full	A well-balanced scheme for a transport equation with varying velocity and irregular opacities
title_fullStr	A well-balanced scheme for a transport equation with varying velocity and irregular opacities
title_full_unstemmed	A well-balanced scheme for a transport equation with varying velocity and irregular opacities
title_sort	well-balanced scheme for a transport equation with varying velocity and irregular opacities
publisher	EDP Sciences
series	ESAIM: Proceedings and Surveys
issn	2267-3059
publishDate	2015-03-01
description	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.
url	http://dx.doi.org/10.1051/proc/201550007
work_keys_str_mv	AT leroythomas awellbalancedschemeforatransportequationwithvaryingvelocityandirregularopacities AT leroythomas wellbalancedschemeforatransportequationwithvaryingvelocityandirregularopacities
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A well-balanced scheme for a transport equation with varying velocity and irregular opacities

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