Development of a new analytic function expansion nodal code, HexDANM, for solving the neutron diffusion equation in hexagonal-Z geometry
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M. H. Jalili Bahabadi
Abstract
In this paper, we developed a new approach of analytic function expansion nodal (AFEN) method to solve the multi-group and multi-dimensional neutron diffusion equation in reactor cores with hexagonal fuel assembly. This method represents a multidimensional intra nodal flux distribution in terms of analytic basis functions at any points in the node. New types of boundary conditions have been considered that constrain the intranodal flux distributions in the hexagonal-z node, which include twelve radial surface-averaged partial currents and two axial surface-averaged partial currents. We utilized the coarse group rebalancing (CGR) method to increase the speed of code calculations. The computer code takes a few-groups cross sections produced by a lattice code and calculates the effective multiplication factor (keff), flux in multi-group energy, reactivity, and the relative power density at each fuel assembly. Finally, the solution accuracy is tested for two well-known benchmark problems. The numerical results demonstrate that the new AFEN method is an accurate method for calculating keff and power density distribution in hexagonal-z geometries.
Kurzfassung
In diesem Beitrag wird die Entwicklung eines neuen nodaler Ansatzes der AFEN Methode zur Lösung der multi-dimensionalen Neutronendiffusionsgleichung in Reaktorkernen mit hexagonaler Brennelementanordnung beschrieben. Die Methode stellt eine multi-dimensionale intra-nodale Flussverteilung in Form analytischer Funktionen dar. Neue Arten von Randbedingungen wurden betrachtet, die die intra-nodalen Flussverteilungen im hexagonalen z-Node beschränken. Die Coarse Group Rebalancing (CGR) Methode zur Erhöhung der Rechen-Geschwindigkeit wurde verwendet. Der Rechen-Code verwendet die von einem Gitter-Code erzeugten Wirkungsquerschnitte und berechnet den effektiven Multiplikationsfaktor (keff), den Fluss in Multi-Gruppen-Energie, die Reaktivität, und die relative Leistungsdichte bei jeder Brennelementanordnung. Schließlich wird die Lösungsgenauigkeit getestet für zwei bekannte Benchmarkprobleme. Die numerischen Ergebnisse zeigen, dass die neue AFEN Methode eine genaue Methode zur Berechnung von keff und der Leistungsdichteverteilung in hexagonaler-z Geometrie ist.
References
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- Development of a new analytic function expansion nodal code, HexDANM, for solving the neutron diffusion equation in hexagonal-Z geometry
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Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Considering the uncertainties in empirical correlations for vertical countercurrent flow limitation (CCFL) with TRACE
- 3RIP trip startup test simulation of TRACE/PARCS model for Lungmen ABWR under different power and flow conditions
- Development of a new analytic function expansion nodal code, HexDANM, for solving the neutron diffusion equation in hexagonal-Z geometry
- Laser cleaning of steam generator tubing based on acoustic emission technology
- Axial enrichment profile in advance nuclear energy power plant at supercritical-pressures
- Analysis of the small break loss of coolant accident in the VVER-1000/V446 reactor
- Thermal hydraulic analysis of reactivity accidents in MTR research reactors using RELAP5
- Depletion of Gadolinium burnable poison in a PWR assembly with high burnup fuel
- Nuclear model calculations on cyclotron production of 51Cr
- Radiotracer application for characterization of nuclear grade anion exchange resins Tulsion A-23 and Dowex SBR LC
- Solving the criticality problem with the reflected boundary condition for the triplet anisotropic scattering with the modified FN method
