Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 36, Issue 1, Pages 113-149Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-007-9181-5
Keywords
diffusion asymptotics; moment closure; hyperbolic systems; asymptotic preserving schemes
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Funding
- DGI-MCYT/FEDER [MTM2005-08024]
- bilateral project France-Spain [HF2006-0198]
- ICREA Funding Source: Custom
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We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entropy minimization. We introduce a specific asymptotic-induced numerical strategy which is able to treat the stiff terms of the asymptotic diffusive regime. We evaluate on numerics the performances of the method and the abilities of the reduced models to capture the main features of the full kinetic equation.
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