The weighted diamond-difference form of nodal transport methods

Journal Article · Fri Jan 01 04:00:00 EST 1988 · Nuclear Science and Engineering; (USA)

DOI:https://doi.org/10.13182/NSE88-6· OSTI ID:5432909

Azmy, Y Y ^[1]

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1. Oak Ridge National Lab., TN (USA). Engineering Physics and Mathematics Div.

Very high computational efficiencies have been achieved recently by introducing higher order approximations to nodal formalisms for the discrete ordinates, neutron transport equation. However, the difficulty of the nodal formalism, its final discrete variable equations, and the solution algorithms have limited the usefulness and applicability of nodal methods in spite of their extremely high accuracy. In this paper general order, general dimensionality nodal transport method cast in a simple, compact, single-weight, weighted diamond-difference form is derived. The new form is a consistently formulated nodal method, which can be solved using either the discrete nodal-transport method or the nodal-equivalent finite difference algorithms without any approximations. The results show that for this problem, the CPU time and the storage size required to achieve a given accuracy decrease monotonically up to order five.

• OSTI ID: 5432909
• Journal Information: Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 98:1; ISSN 0029-5639; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
220400 -- Nuclear Reactor Technology-- Control Systems
ALGORITHMS
COMPUTER CALCULATIONS
COMPUTER CODES
DISCRETE ORDINATE METHOD
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
MATHEMATICAL LOGIC
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NUMERICAL SOLUTION
RADIATION TRANSPORT
SCATTERING
TWO-DIMENSIONAL CALCULATIONS