The nonlinear characteristic scheme in X-Y geometries
- Los Alamos National Lab., NM (United States)
The nonlinear characteristic (NC) scheme for solving the discrete ordinates form of the transport equation has recently been introduced and used to analyze one-dimensional slab transport problems. The purpose of this paper is to determine the accuracy and positivity of the NC scheme as extended to solve two-dimensional X-Y problems. We compare the results obtained using the NC scheme to those obtained using the bilinear discontinuous (BLD) scheme, the bilinear nodal (BLN) scheme the linear characteristic (LC) scheme, and the diamond difference with fixup (DD/F) scheme. As was found in one-dimensional applications, the NC scheme is strictly positive and as accurate or more accurate than the other schemes for all meshes examined. The accuracy of the NC scheme for coarse meshes is particularly outstanding compared with that of the other schemes.
- OSTI ID:
- 89134
- Report Number(s):
- CONF-941102--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 71; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
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