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Comparison of Several RANS Modelling for the Pavia TRIGA Mark II Research Reactor

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NENE 2017, September 11-14, Bled, Slovenia

Comparison of Several RANS Modelling for the Pavia TRIGA Mark II

Research Reactor

Carolina Introini, Antonio Cammi, Stefano Lorenzi,

Davide Baroli, Bernhard Peters, Davide Chiesa, Massimiliano Nastasi, Ezio Previtali

Nuclear Reactors Group, Nuclear Engineering Division (CeSNEF),

Department of Energy, Politecnico di Milano, Milan, Italy

SUMMARY

In this study, a detailed analysis of the turbulent regime within the core of the Pavia TRIGA Mark II reactor is perfomed by means of an in-depth comparison of the RAS (Reynolds-Averaged Simulation) turbulence models implemented in OpenFOAM. Aim of this analysis is to give some important information with respect to the flow regime within the core. The performance of the various models is tested against a LES (Large Eddy Simulation) of the innermost channel.

TURBULENCE MODELLING

Reynolds-Averages Simulation (RAS) models focus on the mean flow and the effect of turbulence on its properties, by resolving only the largest eddies that characterise turbulence and without entering into details about the smallest scales and local effects.

Seven models have been tested:

• RMS (Reynold Stress Model) LRR and RSM-SSG

• Standard k-, Renormalised k-, and Shih-Quadratic k- • k- SST and k- SST-SAS

For investigation the behaviour of the quantities of interest near the wall, a Low-Reynolds Number (LRN) approach has been chosen. The fluid flow is modelled as Netwonian, incompressible, turbulent, and it is considered in steady state.

NUMERICAL MODEL

CONCLUSIONS

Overall, the k- SST model shows the best agreement with the LES simulation, while being less time consuming. This can be explained with its inherent structure, designed to be accurate both for near-wall and free-stream regions. This models offers the best compromise between accuracy and computational requirements, and may be suitable even for a full core simulation.

NUMERICAL RESULTS

Detail of the adopted axial direction division for the mesh. The different boundaries are identified by the different colours: red (outlet),

green (inlet, not shown), yellow (fuel elements B1 and B2), blue (irradiation channel A1), purple (domain boundaries)

Reactor core configuration. White elements are the fuel elements, red ones are the control rods, green elements are the irradiation channels, grey ones are the graphite elements, the blue one is the neutron source,

and the black dot is the analysed channel Elements Maximum non-Ortho Maximum Skew Average y+ Axial Elements Inflation Layers 352895 45.47 0.62 3.29 35 7

Main characteristics of the employed discrete grid

Inlet Outlet Fuel Boundary Pressure Zero-Gradient 1.5 bar Zero-Gradient Zero-Gradient Velocity (0, 0, 0.264) Zero-Gradient No-Slip No-Slip

Temperature 293 K Zero-Gradient Sinusoidal Gradient

Zero-Gradient Turbulence Free-Stream

Values

Zero-Gradient Placeholder Wall Function

Placeholder Wall Function Channel boundary conditions

The power produced by the fuel elements was taken as input data for each element. For the LRN approach for wall treatment, the use of placeholder wall functions allow the evaluation of the wall distance y+

LES LRR SSG k- RNG k- SQ k- k- SST k- SAS Convergence times 1902 1404 1200 1167 1146 1353 1200 1204

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