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Our choice

It is known [2, p. 123-4] that solution of the group-equations (1.10) is sensitive to variations in representation of the reflector. It is therefore crucial to have an accurate treatment of the reflector in order to calculate the power distribution within the core of a real reactor core in an accurate way.

Since there is evidence [2, p. 123-4] to support that the second method is preferable we will use the boundary conditions (1.13) exclusively.

With this method the calculations are collected, unlike the two other methods where one needs to perform some auxiliary calculation. This makes the second method more straight forward. The second method has, however, the drawback that the inclusion of the reflector increases the size of the region where a solution is sought. Since we in practice choose a steplength in the order of $1\:\mbox{cm}$ in reflector areas this implies that we have to increase the number of unknowns with about 100 with a top and bottom reflector each of $50\:\mbox{cm}$'s length.

 
 

 
 

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