The nonlinear characteristic scheme for X-Y geometry transport problems
- Los Alamos National Lab., NM (United States)
The Nonlinear Characteristic (NC) numerical scheme for solving the discrete ordinates form of the transport equation is derived for X-Y geometry. The NC scheme is based on the analytic solution of the discrete-ordinate transport equation in each mesh cell. The driving source for the transport equation is represented by a three-moment preserving, strictly positive, exponential distribution obtained using information theory methods. The analysis of two test problems demonstrates the superior behavior of the NC scheme as compared to other numerical schemes currently used to solve the transport equation. The NC scheme is found to be strictly positive and accurate on meshes where other methods yield either negative and/or remarkably inaccurate results.
- OSTI ID:
- 459168
- Report Number(s):
- CONF-950420--
- Country of Publication:
- United States
- Language:
- English
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