General order nodal transport methods in weighted diamond difference form

Conference · Wed Dec 31 23:00:00 EST 1986 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:6820424

Azmy, Y Y

In spite of the demonstrated very high accuracy and computational efficiency of high-order nodal transport methods, their implementation in practical computer codes has been severely limited because of their complicated formalism and final equations. Recently, it was shown that three different approximations to the linear-linear (LL) nodal transport method can be cast in a simple, compact, weighted diamond difference (WDD) form. Because the WDD form is exactly equivalent to some traditional nodal methods (linear nodal and LL) the former was shown to result in solutions that possess the previously established high accuracy of the latter. One of the three nodal methods, the bilinear nodal (BL) method, has been extended to general dimensionality in Cartesian geometry and general order of approximation. In spite of their generality, the final discrete variable equations have a simple compact WDD form in terms of a single spatial weight per dimension per distinct discrete ordinate.

• Research Organization: Oak Ridge National Lab., TN (USA)
• OSTI ID: 6820424
• Report Number(s): CONF-8711195-
• Journal Information: Trans. Am. Nucl. Soc.; (United States), Journal Name: Trans. Am. Nucl. Soc.; (United States) Vol. 55; ISSN TANSA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
ALGORITHMS
COMPUTER CALCULATIONS
DISCRETE ORDINATE METHOD
MATHEMATICAL LOGIC
NEUTRON FLUX
NEUTRON TRANSPORT THEORY
RADIATION FLUX
TRANSPORT THEORY
TWO-DIMENSIONAL CALCULATIONS