Thesis Open Access

A neutron noise solver based on a discrete ordinates method.

Huaiqian YI


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  <identifier identifierType="DOI">10.5281/zenodo.3813173</identifier>
  <creators>
    <creator>
      <creatorName>Huaiqian YI</creatorName>
      <affiliation>Chalmers University of Technology</affiliation>
    </creator>
  </creators>
  <titles>
    <title>A neutron noise solver based on a discrete ordinates method.</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2020</publicationYear>
  <subjects>
    <subject>Neutron noise</subject>
    <subject>nuclear reactor modelling</subject>
    <subject>Deterministic neutron transport methods</subject>
    <subject>Discrete ordinates</subject>
    <subject>Diffusion synthetic acceleration</subject>
    <subject>Convergence analysis</subject>
  </subjects>
  <contributors>
    <contributor contributorType="Supervisor">
      <contributorName>Paolo Vinai</contributorName>
      <affiliation>Chalmers University of Technology</affiliation>
    </contributor>
  </contributors>
  <dates>
    <date dateType="Issued">2020-04-01</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Text">Thesis</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/3813173</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.3813172</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&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;</description>
  </descriptions>
  <fundingReferences>
    <fundingReference>
      <funderName>European Commission</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/501100000780</funderIdentifier>
      <awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/754316/">754316</awardNumber>
      <awardTitle>Core monitoring techniques and experimental validation and demonstration</awardTitle>
    </fundingReference>
  </fundingReferences>
</resource>
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