Working with Bezier Curves as bases for Functional Expansion Tallies
Conference
·
OSTI ID:2511143
- Idaho National Laboratory
- University of Wisconsin - Madison
- Argonne National Laboratory
Functional expansion tallies (FETs) are a powerful tool for getting more information per history from Monte Carlo simulations, but in the past they have been constrained to orthogonal bases. Bezier curves, from computer aided design (CAD), could be well suited for FET due to their ability to assume many arbitrary shapes, but are non-orthogonal. Recent development has made non-orthongal FET possible. The convergence of B ´ezier curve FETs in both polynomial order and number of samples is explored. These bases are well suited for representing normal distributions, and opens the door to possible other CAD derived FET bases.
- Research Organization:
- Idaho National Laboratory (INL), Idaho Falls, ID (United States)
- Sponsoring Organization:
- 58
- DOE Contract Number:
- AC07-05ID14517;
- OSTI ID:
- 2511143
- Report Number(s):
- INL/CON-24-81522-Rev000
- Conference Information:
- International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (M&C 2025), Denver, CO, 04/27/2025 - 04/30/2025
- Country of Publication:
- United States
- Language:
- English
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