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Chapman--Enskog approach to flux-limited diffusion theory

Technical Report ·
DOI:https://doi.org/10.2172/6089202· OSTI ID:6089202

Using the technique developed by Chapman and Enskog for deriving the Navier--Stokes equations from the Boltzmann equation, a framework is set up for deriving diffusion theories from the transport equation. The procedure is first applied to give a derivation of isotropic diffusion theory and then of a completely new theory which is naturally flux-limited. This new flux-limited diffusion theory is then compared with asymptotic diffusion theory.

Research Organization:
California Univ., Livermore (USA). Lawrence Livermore Lab.
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
6089202
Report Number(s):
UCID-18229
Country of Publication:
United States
Language:
English

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