2010
DOI: 10.1016/j.anucene.2009.12.001
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Extension of the analytic nodal diffusion solver ANDES to triangular-Z geometry and coupling with COBRA-IIIc for hexagonal core analysis

Abstract: In this paper the extensión of the multigroup nodal diffusion code ANDES, based on the Analytic Coarse Mesh Finite Difference (ACMFD) method, from Cartesian to hexagonal geometry is presented, as well as its coupling with the thermal-hydraulic (TH) code COBRA-IIIc for hexagonal core analysis.In extending the ACMFD method to hexagonal assemblies, triangular-Z nodes are used. In the radial plañe, a direct transverse integration procedure is applied along the three directions that are orthogonal to the triangle i… Show more

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Cited by 14 publications
(16 citation statements)
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References 12 publications
(17 reference statements)
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“…Periodic 1/3 and 1/6 symmetries may be used. Lozano et al (2010) provide a good overview of the main nodal methods used for solving the diffusion equation in hexagonal geometry, along with some remarks on the complexity of their implementations and their accuracy. In spite of the computational efficiency of modern nodal methods, and beyond the simplicity of the finite-differences implementation, we opted for the development of the TRIZ code mainly based on the practicability of arbitrary mesh refinement in TZ geometry (only limited by memory constraints).…”
Section: Diffusion Calculations With Trizmentioning
confidence: 99%
“…Periodic 1/3 and 1/6 symmetries may be used. Lozano et al (2010) provide a good overview of the main nodal methods used for solving the diffusion equation in hexagonal geometry, along with some remarks on the complexity of their implementations and their accuracy. In spite of the computational efficiency of modern nodal methods, and beyond the simplicity of the finite-differences implementation, we opted for the development of the TRIZ code mainly based on the practicability of arbitrary mesh refinement in TZ geometry (only limited by memory constraints).…”
Section: Diffusion Calculations With Trizmentioning
confidence: 99%
“…In this application, the stand-alone nodal solver is employed which is capable of modelling 3D Cartesian or hexagonal-Z geometries (Lozano et al, 2010), using multigroup cross sections libraries.…”
Section: Cobaya3mentioning
confidence: 99%
“…The first step is a diagonalization of the multi-group diffusion matrix to transform the coupled multi-group diffusion equation into a set of uncoupled equations; the second step is a transverse integration procedure to transform the n-dimensional equation into n one-dimensional equations in order to find an analytic ID solution on each dimension. ANDES has been extensively validated for a number of numerical benchmarks (Lozano et al, 2010).…”
Section: C0baya3mentioning
confidence: 99%