Variational formulation of a higher order nodal diffusion method
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-; CODEN: TANSA; TRN: 89-027700
- Journal Information:
- Transactions of the American Nuclear Society; (USA), Vol. 56; Conference: American Nuclear Society annual meeting, San Diego, CA (USA), 12-16 Jun 1988; ISSN 0003-018X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
ACCURACY
BENCHMARKS
CONVERGENCE
DIFFERENTIAL EQUATIONS
IAEA
MESH GENERATION
ONE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
EQUATIONS
INTERNATIONAL ORGANIZATIONS
220100* - Nuclear Reactor Technology- Theory & Calculation
654003 - Radiation & Shielding Physics- Neutron Interactions with Matter