Convergence of Legendre Expansion of Doppler-Broadened Double Differential Elastic Scattering Cross Section
Conference
·
OSTI ID:1039612
- ORNL
Convergence properties of Legendre expansion of a Doppler-broadened double-differential elastic neutron scattering cross section of {sup 238}U near the 6.67 eV resonance at temperature 10{sup 3} K are studied. A variance of Legendre expansion from a reference Monte Carlo computation is used as a measure of convergence and is computed for as many as 15 terms in the Legendre expansion. When the outgoing energy equals the incoming energy, it is found that the Legendre expansion converges very slowly. Therefore, a supplementary method of computing many higher-order terms is suggested and employed for this special case.
- Research Organization:
- Oak Ridge National Laboratory (ORNL)
- Sponsoring Organization:
- NNSA USDOE - National Nuclear Security Administration (NNSA)
- DOE Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1039612
- Country of Publication:
- United States
- Language:
- English
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