Thesis Open Access

A neutron noise solver based on a discrete ordinates method.

Huaiqian YI


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        <foaf:name>Huaiqian YI</foaf:name>
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    <dct:title>A neutron noise solver based on a discrete ordinates method.</dct:title>
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    <dcat:keyword>Neutron noise</dcat:keyword>
    <dcat:keyword>nuclear reactor modelling</dcat:keyword>
    <dcat:keyword>Deterministic neutron transport methods</dcat:keyword>
    <dcat:keyword>Discrete ordinates</dcat:keyword>
    <dcat:keyword>Diffusion synthetic acceleration</dcat:keyword>
    <dcat:keyword>Convergence analysis</dcat:keyword>
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        <foaf:name>Paolo Vinai</foaf:name>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2020-04-01</dct:issued>
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    <dct:description>&lt;p&gt;A neutron noise transport modelling tool is presented in this thesis. The simulator allows to&lt;br&gt; determine the static solution of a critical system and the neutron noise induced by a prescribed&lt;br&gt; perturbation of the critical system. The simulator is based on the neutron balance equations in&lt;br&gt; the frequency domain and for two-dimensional systems. The discrete ordinates method is used&lt;br&gt; for the angular discretization and the diamond finite difference method for the treatment of the&lt;br&gt; spatial variable. The energy dependence is modelled with two neutron energy groups. The&lt;br&gt; conventional inner-outer iterative scheme is employed for solving the discretized neutron&lt;br&gt; transport equations. For the acceleration of the iterative scheme, the diffusion synthetic&lt;br&gt; acceleration is implemented.&lt;br&gt; The convergence rate of the accelerated and unaccelerated versions of the simulator is studied&lt;br&gt; for the case of a perturbed infinite homogeneous system. The theoretical behavior predicted by&lt;br&gt; the Fourier convergence analysis agrees well with the numerical performance of the simulator.&lt;br&gt; The diffusion synthetic acceleration decreases significantly the number of numerical iterations,&lt;br&gt; but its convergence rate is still slow, especially for perturbations at low frequencies.&lt;br&gt; The simulator is further tested on neutron noise problems in more realistic, heterogeneous&lt;br&gt; systems and compared with the diffusion-based solver. The diffusion synthetic acceleration&lt;br&gt; leads to a reduction of the computational burden by a factor of 20. In addition, the simulator&lt;br&gt; shows results that are consistent with the diffusion-based approximation. However,&lt;br&gt; discrepancies are found because of the local effects of the neutron noise source and the strong&lt;br&gt; variations of material properties in the system, which are expected to be better reproduced by a&lt;br&gt; higher-order transport method such as the one used in the new solver.&lt;/p&gt;</dct:description>
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