General order characteristic methods for solving neutron transport problems
The neutron transport equation in Cartesian geometry possesses straight line characteristics along which the streaming operator can be written as a full differential in terms of the characteristic length. This idea was used by Lathrop to develop the step characteristic method, which he showed to be positive definite but less accurate than conventional Diamond-Difference schemes. Several authors since then have developed new methods utilizing the characteristic curves (including non-Cartesian geometry). A Linear Characteristic Method, based on a more consistent linear representation of the incoming-surface and within-cell angular flux, has been developed and tested in two-dimensional geometry producing highly accurate and computationally efficient results. A similar linear method, with several modifications, was developed for three-dimensional Cartesian geometry, and implemented in ORNL`s production code TORT. In this paper is presented a fully consistent, two-dimensional Cartesian geometry, general order characteristic method, in the same spirit as the previously developed, general order nodal method. Preliminary tests and numerical error analysis of the new method for orders up to five are also presented.
- Research Organization:
- Oak Ridge National Lab., TN (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC05-84OR21400
- OSTI ID:
- 10167073
- Report Number(s):
- CONF-9205173-1-Vugraphs; ON: DE93015824; TRN: 93:015471
- Resource Relation:
- Conference: International symposium on transport theory,Moscow (Russian Federation),23-31 May 1992; Other Information: PBD: [1992]
- Country of Publication:
- United States
- Language:
- English
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