Thesis Open Access

# A neutron noise solver based on a discrete ordinates method.

Huaiqian YI

### DataCite XML Export

<?xml version='1.0' encoding='utf-8'?>
<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="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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