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exotic nuclei structure and reaction noyaux exotiques ... - IPN - IN2P3

exotic nuclei structure and reaction noyaux exotiques ... - IPN - IN2P3

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simulation of flow is based on three or four partial<br />

differential equations: conservation of mass, energy<br />

<strong>and</strong> momentum vector for the water liquid/<br />

vapor mixture (optionally a fourth equation can be<br />

added which tracks the vapor mass separately).<br />

The heat transfer model features a full boiling<br />

curve, comprising the basic heat transfer regimes:<br />

single phase forced convection, sub-cooled nucleate<br />

boiling, saturated nucleate boiling, transition<br />

<strong>and</strong> film boiling. Heat conduction in the fuel, gap<br />

<strong>and</strong> cladding is calculated using the balance equation.<br />

To obtain a realistic description of a coupled neutronics/thermal-hydraulics<br />

system, a number of<br />

iterations with upgrades of data are<br />

blies. Inlet pressure is also uniform 15.5 MPa. All<br />

radial <strong>and</strong> axial powers are normalized to average<br />

value. A uniform core flow of 82.12 kg/s/assembly<br />

is assumed.<br />

For each assembly, there are three types of pins:<br />

UOX, UOX + IFBA (IFBA is burnable absorber:<br />

necessary to obtain converged results. The number<br />

of iterations required for a fixed number of<br />

Monte-Carlo histories depends on the specific details<br />

of each system. The more the system is<br />

asymmetric the greater the number of iterations<br />

required. For a pressurized water reactor (e.g.<br />

PWR), such as the one used for the benchmark<br />

(see below), less than ten iterations are needed.<br />

For a fast reactor (e.g. SFR), fewer than five are<br />

needed, <strong>and</strong> for a boiling water reactor (e.g. BWR)<br />

in which the void fraction has a huge gradient with<br />

correspondingly large changes in the flux more<br />

than ten iterations are needed for convergence.<br />

To validate the 3D coupling MURE-MCNP/<br />

COBRA, a PWR MOX/UO2 NEA benchmark has<br />

been chosen 10 . It presents a large heterogeneity<br />

which permits a rigorous test of the coupling. Four<br />

degrees of enrichment are present in the fuel with<br />

seven different levels of fuel depletion. Some fuel<br />

pins contain integrated burnable poisons. All of<br />

these aspects strongly affect the flux profile, which<br />

will be highly asymmetric. The MURE coupling allows<br />

heterogeneous axial <strong>and</strong> radial fuel compositions.<br />

However in this benchmark the core axial<br />

material compositions are assumed to be homogeneous.<br />

The benchmark for four assemblies is presented<br />

in the next section. The quarter core used<br />

for the benchmark has been cut. It correspond to<br />

the assemblies A1 (top left – burn-up 35 GWd/t),<br />

A2 (top right – burn-up 0.15 GWd/t), B1 (bottom<br />

left – burn-up 0.15 GWd/t) <strong>and</strong> B2 (bottom right –<br />

17.5 GWd/t). Consequently reflective conditions<br />

are imposed on lateral boundaries, <strong>and</strong> void is assumed<br />

on extreme axial planes (zero flux).<br />

Coolant inlet temperature is uniform for all assem-<br />

zirconium diboride ZrB 2 , cf. fig. 10), <strong>and</strong> guide<br />

tubes. Similar pins have been grouped together to<br />

accelerate the calculation. The choice of these cell<br />

groups have been performed for neighboring cells,<br />

<strong>and</strong> cells which are exposed to similar fluxes.<br />

A sample of the benchmark results are shown in<br />

Figs. 4 & 5. All results of axial power deposition<br />

are in good agreement (less than 1%) with the<br />

other simulations of the benchmark. Results of the<br />

coupled calculation MURE-MCNP/COBRA are in<br />

agreement with benchmark results (cf. fig. 12),<br />

<strong>and</strong> the accuracy is within the errors of the benchmark:<br />

2%). Only the four most peripheral pins have<br />

a difference of 4% in our calculation. These are the<br />

most difficult to simulate, due to the assumption of<br />

reflective conditions.<br />

121

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