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Journal ArticleDOI

Conformal mapping and hexagonal nodal methods. II: Implementation in the ANC-H code

Y. A. Chao, +1 more
- 01 Oct 1995 - 
- Vol. 121, Iss: 2, pp 210-225
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TLDR
The ANC-H code as mentioned in this paper is the hexagonal geometry version of the Westinghouse three-dimensional advanced nodal code ANC, which maps a hexagon to a rectangle while preserving the diffusion operator.
Abstract
The ANC-H code is the hexagonal geometry version of the Westinghouse three-dimensional advanced nodal code ANC. Together with PHOENIX-H, the hexagonal geometry version of the Westinghouse pressurized water reactor (PWR) lattice code PHOENIX-P, they provide the Westinghouse code package for designing VVER-type PWR cores of hexagonal geometry. The nodal theory of ANC-H is the net current nodal expansion method implemented with the technique of conformal mapping, which maps a hexagon to a rectangle while preserving the diffusion operator. The use of conformal mapping eliminates the root cause of singularities resulting from the conventional transverse integration. The intranode burnup gradient is accounted for by allowing spatially dependent nodal cross sections. The theory of ANC-H is qualified by benchmarking ANC-H against fine-mesh finite difference code solutions for a variety of benchmark problems. In all cases, the agreement has been excellent. The accuracy of ANC-H for hexagonal geometry cores is as good as ANC for Cartesian geometry cores.

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Citations
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Journal ArticleDOI

The reactor dynamics code DYN3D – models, validation and applications

TL;DR: An overview of the reactor dynamics code DYN3D, which comprises various 3D neutron kinetics solvers, a thermal-hydraulics reactor core model and a thermo-mechanical fuel rod model, is provided.
Journal ArticleDOI

Investigation of PWR core optimization using harmony search algorithms

TL;DR: A core reloading pattern optimization code is developed based on the classical harmony search, improved harmony search and the harmony search with differential mutation based pith adjustment to solve Shekel’s Foxholes problem.
Journal ArticleDOI

A Two-Dimensional Intranodal Flux Expansion Method for Hexagonal Geometry

TL;DR: In this paper, a nodal method HEXNEM2 for hexagonal geometry is described, based on a two-dimensional expansion of the intranodal fluxes.
Journal ArticleDOI

High Order Finite Element Method for the Lambda modes problem on hexagonal geometry

TL;DR: In this article, a High Order Finite Element Method to approximate the Lambda modes problem for reactors with hexagonal geometry has been developed, which is based on the expansion of the neutron flux in terms of the modified Dubiner's polynomials on a triangular mesh and the accuracy of the method is improved increasing the degree of the polynomial expansions without the necessity of remeshing.
Journal ArticleDOI

A novel optimization method, Gravitational Search Algorithm (GSA), for PWR core optimization

TL;DR: A new method of using Gravitational Search Algorithm (GSA) for in-core fuel management optimization and the results demonstrate that GSA algorithm have promising performance and could be proposed for other optimization problems of nuclear engineering field.
References
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ReportDOI

The DIF3D Nodal Neutronics Option for Two- and Three-dimensional Diffusion Theory Calculations in Hexagonal Geometry

R.D. Lawrence
TL;DR: In this paper, a nodal method is developed for the solution of the neutron-diffusion equation in two-and three-dimensional hexagonal geometries, and the nodal scheme has been incorporated as an option in the finitedifference diffusion-theory code DIF3D, and is intended for use in the analysis of current LMFBR designs.
Journal ArticleDOI

Three-Dimensional Nodal Diffusion and Transport Theory Methods for Hexagonal- z Geometry

TL;DR: In this article, advanced nodal methods for the solution of the multigroup neutron diffusion and transport theory equations in three-dimensional hexagonal-z geometry are described, and the code HEXNOD allows an accurat...
Journal ArticleDOI

A theory of fuel management via backward diffusion calculation

TL;DR: In this paper, a theory of backward diffusion calculation is developed for fuel management applications, which for a given power distribution solves the diffusion equation backwardly for the core reactivity distribution.
Journal ArticleDOI

Conformal mapping and hexagonal nodal methods. I: Mathematical foundation

TL;DR: The conventional transverse integration method of deriving nodal diffusion equations does not satisfactorily apply to hexagonal nodes as discussed by the authors, which is why the transversely integrated model is unsuitable for hexagonal surfaces.
Journal ArticleDOI

Comments on the Treatment of Transverse Leakage in Advanced Nodal Codes for Hexagonal Nodes

TL;DR: In this paper, the treatment of transverse leakage in Advanced Nodal Codes for Hexagonal Nodes is discussed, with a focus on the transverse leakage of hexagonal nodes.
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