Conference paper Open Access

Neutron kinetics equations in APOLLO3® code for application to noise problems.

Gammicchia A., Santandrea S., Zmijarevic I., Stankovski Z., and Dulla S

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    <subfield code="d">25-29 August 2019</subfield>
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    <subfield code="a">Mathematics &amp; Computational Methods Applied to Nuclear Science &amp; Engineering</subfield>
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    <subfield code="a">Neutron kinetics equations in APOLLO3® code for application to noise problems.</subfield>
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    <subfield code="a">Core monitoring techniques and experimental validation and demonstration</subfield>
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    <subfield code="a">&lt;p&gt;A 2-D noise model is implemented in the deterministic reactor code APOLLO3 R to simulate&lt;br&gt;
a periodic oscillation of a structural component. The Two/Three Dimensional Transport&lt;br&gt;
(TDT) solver, using the Method of Characteristics, is adopted for the calculation of&lt;br&gt;
the case studies, constituted by a moving detector and control-rod bundle. The period is&lt;br&gt;
constructed by properly linking the geometries corresponding to the temporal positions.&lt;br&gt;
The calculation is entirely performed in the real time domain, without resorting to the traditional&lt;br&gt;
frequency approach. A dynamic eigenvalue is defined that takes into account the&lt;br&gt;
system average reactivity over a period. The algorithm is accelerated by the DPN synthetic&lt;br&gt;
method. For each cell of the domain, the time values of fission rates are analysed&lt;br&gt;
to determine the noise extent.&lt;/p&gt;</subfield>
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