Pseudo spectral Chebyshev representation of few-group cross sections on sparse grids
- South African Nuclear Energy Corporation Necsa, Building 1900, PO Box 582, Pretoria 0001 (South Africa)
- Dept. Automatics, National Research Nuclear Univ. MEPhI, Kashirskoe shosse, 31, Moscow, 115409 (Russian Federation)
This paper presents a pseudo spectral method for representing few-group homogenised cross sections, based on hierarchical polynomial interpolation. The interpolation is performed on a multi-dimensional sparse grid built from Chebyshev nodes. The representation is assembled directly from the samples using basis functions that are constructed as tensor products of the classical one-dimensional Lagrangian interpolation functions. The advantage of this representation is that it combines the accuracy of Chebyshev interpolation with the efficiency of sparse grid methods. As an initial test, this interpolation method was used to construct a representation for the two-group macroscopic cross sections of a VVER pin cell. (authors)
- Research Organization:
- American Nuclear Society, Inc., 555 N. Kensington Avenue, La Grange Park, Illinois 60526 (United States)
- OSTI ID:
- 22105589
- Resource Relation:
- Conference: PHYSOR 2012: Conference on Advances in Reactor Physics - Linking Research, Industry, and Education, Knoxville, TN (United States), 15-20 Apr 2012; Other Information: Country of input: France; 16 refs.
- Country of Publication:
- United States
- Language:
- English
Similar Records
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
Adaptive Sparse-Grid Stochastic Collocation Uncertainty Quantification Convergence for Multigroup Diffusion