Finite Element Solutions of Second-Order Forms of the Transport Equation at the Interface Between Diffusive and Non-diffusive Regions
Conference
·
OSTI ID:1035752
We analyze the behavior of even- and odd-parity finite element discretizations of the transport equation at the boundary between a diffusive and non-diffusive region in slab geometry. We find that the parity solutions each satisfy interface conditions that may not be accurate, but that their average should be extremely accurate. We also discuss the relationship between the even- and odd-parity equations and the self-adjoint angular flux equation. We conclude with numerical results that support our analysis results.
- Research Organization:
- Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 1035752
- Report Number(s):
- PNNL-SA-34520
- Country of Publication:
- United States
- Language:
- English
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