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**Harvard**

Andersson, M. (2011) *Discontinuity factors in SP3 theory*. Göteborg : Chalmers University of Technology (CTH-NT - Chalmers University of Technology, Nuclear Engineering, nr: 246).

** BibTeX **

@mastersthesis{

Andersson2011,

author={Andersson, Mikael},

title={Discontinuity factors in SP3 theory},

abstract={The SP3 theory is a better approximation than diffusion theory when modeling a nuclear reactor, but the properties of homogenization and discontinuity factors are not known.
This master thesis, at Studsvik Scandpower, has been done to investigate the usage
of discontinuity factors in the SP3 theory and compare the results with the traditional
diffusion theory. The discontinuity factors should have the property to conserve the reaction
rates and interface currents.
Four different methods were tested to create discontinuity factors for SP3 theory, one
analytical and three numerical. Two methods (the analytical one and one of the numerical
methods) where able to conserve both the currents and reaction rates but at different
costs. The analytical method has the problem of possible numerical instabilities, and the
numerical method the problem of no unique solution. Good approximations are also found
with minimal errors in
flux and the effective multiplication factor keff .
The thesis has shown that it is possible to use discontinuity factors in SP3 theory, either
by recreating the solution completely, or use good approximations. For more reliable results
and numerical stabilities some future improvements are needed.
As a good approximation found was to use the traditional discontinuity factors with
the change that the discontinuity factors for the second moment flux is set to unity.},

publisher={Institutionen för teknisk fysik, Nukleär teknik, Chalmers tekniska högskola},

place={Göteborg},

year={2011},

series={CTH-NT - Chalmers University of Technology, Nuclear Engineering, no: 246},

keywords={Neutronics, Homogenization, Diffusion, SP3, Discontinuity factors},

note={47},

}

** RefWorks **

RT Generic

SR Print

ID 146688

A1 Andersson, Mikael

T1 Discontinuity factors in SP3 theory

YR 2011

AB The SP3 theory is a better approximation than diffusion theory when modeling a nuclear reactor, but the properties of homogenization and discontinuity factors are not known.
This master thesis, at Studsvik Scandpower, has been done to investigate the usage
of discontinuity factors in the SP3 theory and compare the results with the traditional
diffusion theory. The discontinuity factors should have the property to conserve the reaction
rates and interface currents.
Four different methods were tested to create discontinuity factors for SP3 theory, one
analytical and three numerical. Two methods (the analytical one and one of the numerical
methods) where able to conserve both the currents and reaction rates but at different
costs. The analytical method has the problem of possible numerical instabilities, and the
numerical method the problem of no unique solution. Good approximations are also found
with minimal errors in
flux and the effective multiplication factor keff .
The thesis has shown that it is possible to use discontinuity factors in SP3 theory, either
by recreating the solution completely, or use good approximations. For more reliable results
and numerical stabilities some future improvements are needed.
As a good approximation found was to use the traditional discontinuity factors with
the change that the discontinuity factors for the second moment flux is set to unity.

PB Institutionen för teknisk fysik, Nukleär teknik, Chalmers tekniska högskola,

T3 CTH-NT - Chalmers University of Technology, Nuclear Engineering, no: 246

LA eng

OL 30