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Journal ArticleDOI

Nodal Synthesis—Consistent Nodal Approach for Global Reactor Analysis

Jerzy Mackiewicz
- 01 Jun 1988 - 
- Vol. 99, Iss: 2, pp 99-108
TLDR
In this article, a new nodal approach for global reactor core calculations is described, in which local weighted residual procedure equations are consistently embedded into a classical nodal scheme without the need for a global nodal algorithm.
Abstract
A new nodal approach for global reactor core calculations is described, in which local weighted residual procedure equations are consistently embedded into a classical nodal scheme without the nece...

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Citations
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Journal ArticleDOI

Exact solution to the time-dependent one-speed multiregion neutron diffusion equation

TL;DR: In this article, exact solutions to the time-dependent one-speed neutron diffusion equation in one-dimensional multiregion Cartesian and spherical geometries with multiplication and without delayed neutrons are obtained.
Journal ArticleDOI

Response matrix of square node with full symmetries

TL;DR: In this paper, a response matrix based on incoming currents averaged on half-surface of two-dimensional square node is developed by applying theory of symmetry, and boundary conditions of incoming currents on a surface of node are reduced to the ones averaged on a half surface.
Journal ArticleDOI

Hexagonal response matrix using symmetries

TL;DR: In this article, a response matrix based on the incoming currents averaged on half-surface of a hexagonal mode is presented by applying theory of symmetry, where boundary conditions of incoming currents are expressed by a complete set of orthogonal vectors which are constructed from the symmetrized functions.
References
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Journal ArticleDOI

A Nodal Green's Function Method for Multidimensional Neutron Diffusion Calculations

TL;DR: A nodal method for the solution of the multidimensional neutron diffusion equation is developed and evaluated in this paper, which is based on the linear form of the nodal balance equation written in terms of terms of nodal coefficients.
Journal ArticleDOI

Variational Nodal Methods for Neutron Transport

TL;DR: In this paper, nodal diffusion and transport methods are formulated variationally in terms of the even-parity form of the neutron transport equation and applied to problems in X-Y geometry.
Journal ArticleDOI

Response Matrix of Symmetric Nodes

TL;DR: In this paper, the symmetry properties of a symmetric node's response matrix are discussed and a transformation diagonalizing the response matrix is given by means of symmetry considerations, which is implemented in coarse-mesh programs both in Cartesian and hexagonal geometries.