Variational formulation of a higher order nodal diffusion method

Conference · Fri Jan 01 04:00:00 EST 1988 · Transactions of the American Nuclear Society; (USA)

OSTI ID:5560723

Tomasevic, D; Altiparmakov, D

Transverse integration procedures are used in most modern nodal computer codes that were developed in the late seventies in order to obtain a faster solution of the multidimensional neutron diffusion equation. The method of reduction to ordinary differential equations earlier formulated by Kantorovich and Krylov, however, has a more general form. Compared to Ritz-Galerkin methods, the advantage is that only a part of the trial function is chosen a priori and part has to be determined in accordance with the character of the problem. This fact results in remarkably greater accuracy. Following the method of Kantorovich, higher order quasi-one-dimensional nodal equations are formulated in this paper. In addition, the difference from a recently published similar approach is pointed out.

• OSTI ID: 5560723
• Report Number(s): CONF-880601--
• Conference Information: Journal Name: Transactions of the American Nuclear Society; (USA) Journal Volume: 56
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
BENCHMARKS
CONVERGENCE
DIFFERENTIAL EQUATIONS
EQUATIONS
IAEA
INTERNATIONAL ORGANIZATIONS
MESH GENERATION
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS