Exponential discontinuous scheme for X-Y geometry transport problems
- Los Alamos National Lab., NM (United States)
Recently, a nonlinear characteristic (NC) spatial differencing scheme for x-y geometry transport problems was introduced. This NC scheme uses the method of characteristics with an exponential distribution for the source within each spatial cell. This source distribution, derived using information theory, preserves the zeroth, x, and y coordinate spatial moments of the source. The NC scheme is very accurate and produces strictly positive angular fluxes, given positive discrete ordinate sources. In this paper we describe a new exponential discontinuous (ED) scheme based on an exponential distribution for the angular flux within each cell, also derived using information theory. The ED scheme preserves the zeroth, x, and y coordinate spatial moments of the angular flux and produces strictly positive angular fluxes. We derive the scheme in x-y geometry, but the scheme is not limited to either two dimensions or Cartesian geometries. These extensions will be covered in future papers. We provide results comparing the ED method with the NC, bilinear discontinuous (BLD), bilinear nodal (BLN), bilinear characteristic (BLC), and adaptive weighted diamond-difference (AWDD) schemes.
- OSTI ID:
- 186556
- Report Number(s):
- CONF-950601-; ISSN 0003-018X; TRN: 96:006982
- Journal Information:
- Transactions of the American Nuclear Society, Vol. 72; Conference: Annual meeting of the American Nuclear Society (ANS), Philadelphia, PA (United States), 25-29 Jun 1995; Other Information: PBD: 1995
- Country of Publication:
- United States
- Language:
- English
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