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Improved approximations applied to the S{sub N} even-parity equation

Conference ·
OSTI ID:10167247

We have developed various finite element differencing schemes by applying lumping techniques in neutron streaming and removal terms of the S{sub N} even-parity transport equation in two-dimensional x-y geometry. We have derived an analytical form of the even-parity reflective boundary condition, which along with the vacuum boundary condition can be applied directly to solve second-order even-parity boundary value problems. We have also developed a new simplified even-parity equation that is much more computationally efficient than the even-parity equation. The developed schemes are numerically compared with the conventional first-order diamond-differencing (DD) scheme.

Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
10167247
Report Number(s):
LA-UR--93-2300; CONF-931160--5; ON: DE93016467
Country of Publication:
United States
Language:
English