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ARFC Moltres website migration
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# Eigenvalue Calculation with NtAction | ||
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The input files associated with this tutorial are | ||
[moltres/tutorial/eigenvalue/nts.i](https://github.com/arfc/moltres/blob/devel/tutorial/eigenvalue/nts.i) and | ||
[moltres/tutorial/eigenvalue/nts-action.i](https://github.com/arfc/moltres/blob/devel/tutorial/eigenvalue/nts-action.i). | ||
Refer to [Tutorial 2a](getting_started/input_syntax.md) for an introduction on the input file | ||
syntax and in-depth descriptions of every input parameter. | ||
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As mentioned in Tutorial 2a, this example involves a simple 2-D axisymmetric core model of the | ||
Molten Salt Reactor Experiment (MSRE) that was developed at Oak Ridge National Laboratory. The | ||
figure below shows the 2-D MSRE model for this tutorial. It is a 70.8 cm by 169 cm rectangle that | ||
is axisymmetric about the left boundary. The domain consists of 14 fuel channels, alternating with | ||
14 solid graphite moderator regions, represented in the figure by gray and red rectangles, | ||
respectively. | ||
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!media media/msre_2d.png | ||
id=msre-2d | ||
caption=2-D axisymmetric model of the MSRE | ||
style=width:35%;text-align:center;margin-left:auto;margin-right:auto; | ||
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For multiplication factor ($k$) eigenvalue calculations, Moltres relies on the | ||
`InversePowerMethod` or `NonlinearEigen` executioners from MOOSE. These executioners solve the | ||
neutron diffusion equations set up as an eigenvalue problem to find $k$ and the neutron flux | ||
distribution, which occur as the absolute minimum eigenvalue $1/k$ and the corresponding | ||
eigenvector of the system. The mathematical background and documentation for these executioners can | ||
be found [here](https://mooseframework.inl.gov/source/executioners/InversePowerMethod.html). This | ||
tutorial uses the `InversePowerMethod` executioner which applies the inverse power method. | ||
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