Augmented weighted-diamond form of the linear-nodal scheme for Cartesian coordinate systems

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Nucl. Sci. Eng.; (United States)

OSTI ID:6028265

Walters, W F

The equations of the high-order linear-nodal numerical scheme are cast in an augmented weighted-difference form for three-dimensional Cartesian nodes. The coupling exhibited by these equations indicates that this new algorithm is simpler and, hence, faster than previous nodal schemes of this degree of accuracy. A well-logging problem and a fast reactor problem are examined. The new scheme developed is compared with the classical linear-linear nodal scheme and the diamond-difference scheme. For the well-logging problem, it is found that the new scheme is both faster and simpler than the classical linear-linear nodal scheme while sacrificing little in accuracy. Even though the new scheme is more accurate than the diamond-difference scheme for the reactor problem, the results indicate that state-of-the-art acceleration methods are needed for nodal schemes.

• Research Organization: Los Alamos National Lab., Radiation Transport Group, P.O. Box 1663, Los Alamos, NM 87545
• OSTI ID: 6028265
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 92:2; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
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58 GEOSCIENCES
580203 -- Geophysics-- Geophysical Survey Methods-- (1980-1989)
ACCURACY
ALGORITHMS
COORDINATES
EPITHERMAL REACTORS
EQUATIONS
FAST REACTORS
MATHEMATICAL LOGIC
NEUTRON LOGGING
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
RADIOACTIVITY LOGGING
REACTORS
TRANSPORT THEORY
WELL LOGGING