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By Jess C Gehin

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37a) 17u_ :'-" _ Cul " itu ..... Cut Cut 1'" gu ( ul _llu ,ran The remaining term in Eq. I (,,P, """,,,, L""'"' + " .. ,,r t,.. ,, , _s,_,,,,, _,,,,,,,++. integrated flux since the leakages are related to the net currents which are in turn related to the spatial derivative of the flux, Hence, t tte leakages for a third order polynomial approximation have a quadratic form, Since the leakages are typically smaller than the net currents, errors in the leakages should be smaller and less significant the errors in the net currents.

Cut Cut 1'" gu ( ul _llu ,ran The remaining term in Eq. I (,,P, """,,,, L""'"' + " .. ,,r t,.. ,, , _s,_,,,,, _,,,,,,,++. integrated flux since the leakages are related to the net currents which are in turn related to the spatial derivative of the flux, Hence, t tte leakages for a third order polynomial approximation have a quadratic form, Since the leakages are typically smaller than the net currents, errors in the leakages should be smaller and less significant the errors in the net currents.

Matrix and its inverse, A °l, exists _3 and has rill positive riementsiN-ll. Therefore, Eq. (41) may be writtenas I ,i, = _R,l,. negative Discontinuity ........................... L_'" ::................ linear tinuity factor updatintt, iteration scheme consists of the dilcon. like equations anti repeat th_ process until convergence is achieved, No theory exists which can be used to determine this iterative process. sized nodes. The order in wttich tile solution process is carried out is theoretically important.

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A quasi-static polynomial nodal method for nuclear reactor analysis by Jess C Gehin


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