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Filtering by: Creator Robinson, Elizabeth J. Z. Remove constraint Creator: Robinson, Elizabeth J. Z. Advisor Robinson, Alan H. Remove constraint Advisor: Robinson, Alan H.

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  • A comparison of iterative methods for the solution of elliptic partial differential equations, particularly the neutron diffusion equation

    Creator:
    Schwinkendorf, Kevin N.
    Abstract:
    Two new concepts have been explored in solving the neutron diffusion equation in one and two dimensions. At the present time, the diffusion equation is solved using source iterations. These iterations are performed in a mathematical form which has a great deal of physical significance. Specifically, the neutron production term...
    Resource Type:
    Masters Thesis
    Full Text:
    (n+1) N 2 ,.(r14-1)1 E Vkf i=1 j=1 4 1 2 wi[717./ vEf..$C9+ z s(9_ E .4)(9+ z .,(h+1) i=1 k J=1

  • A comparison of three coarse-mesh nodal methods for boiling water reactor analysis

    Creator:
    Cho, Byung-Oh
    Abstract:
    Computer codes for versions of STORM, capable of calculating power distributions in a three-dimensional quarter-core of a boiling water reactor, were developed by using both a modified one-group and two-group diffusion theory model with several different power calculation schemes. Several numerical examples that demonstrate the high efficiency of the coarse-mesh...
    Resource Type:
    Masters Thesis
    Full Text:
    Convention. 11 0 and 010 (assumed), N =O, keff= .0 N " E f l (1) z' F. f 2 Is 1 12 0 < j cgjogivcg7

  • PERT-IV, a two-dimensional perturbation theory code for fast reactors

    Creator:
    Hardie, Ralph Wayne
    Abstract:
    A two-dimensional perturbation theory computer code, PERT-IV, has been developed that will calculate reactivity coefficients, the delayed neutron fraction, and the neutron generation time. The program uses the output flux and adjoint flux from either a diffusion theory or transport theory program. A discussion and derivation of the perturbation equation...
    Resource Type:
    Masters Thesis
    Full Text:
    . 1 1(i +i)ct' i j j=1 j=i+1 -VDiVct)i + + z(i-)-j )4>i j=i+i where the first term in the numerator

  • A method for calculation of group-averaged resonance parameters

    Creator:
    Nail, James Harold
    Abstract:
    A method of treating resonance captures for few energy group calculations is developed using the Narrow Resonance-Infinite Absorber approximation to the resonance integral. The application of this method is not restricted to this approximation, however, as other approximations to the resonance integral could also be used. The approach presented defines...
    Resource Type:
    Masters Thesis
    Full Text:
    Resonance Parameters Redacted for Privacy Abstract approved Alan H. Robinson A method of treating

  • One and two dimensional space-energy flux synthesis with spatially discontinuous trial functions

    Creator:
    Olson, Willard Orvin
    Abstract:
    The development of nuclear reactors as an energy source requires a substantial investment in capital and effort. This development depends heavily on accurate calculational methods. Space-energy flux synthesis, also variously called the spectral synthesis method, modal method, and overlapping group method, is one possible method. In this method the energy...
    Resource Type:
    Dissertation
    Full Text:
    ACKNOWLEDGEMENTS I would like to-thank my major professor, Dr. Alan H. Robinson. His advice and encouragement

  • A comparative study of nodal course-mesh methods for pressurized water reactors

    Creator:
    Bukar, Kyari Abba
    Abstract:
    Several computer codes based on one and two-group diffusion theory models were developed for SHUFFLE. The programs were developed to calculate power distributions in a two-dimensional quarter core geometry of a pressurized power reactor. The various coarse-mesh numerical computations for the power calculations yield the following: the Borresen's scheme applied...
    Resource Type:
    Masters Thesis
    Full Text:
    as: J SiOidV= , 1 Es(vEf + vEf -Ea, --E,i2 keff 1 2 z (3-4) (3-5) if 2F- (3-6) (3-7) (3 -8

  • A simulated two-group method for computing boiling water reactor power distributions

    Creator:
    Hatteberg, Ronald Leonard
    Abstract:
    A computer code capable of modeling the burnup dependent static behavior of a boiling water reactor was developed. The code calculates three-dimensional quarter core power distributions using a simulated two-group diffusion theory model. Thermal-hydraulic calculations account for the interaction between power, coolant flow, and void fraction distributions. Cross sections are...
    Resource Type:
    Masters Thesis
    Full Text:
    H. Robinson A computer code capable of modeling the burnup dependent static be- havior of a

  • Energy models for computing fast reactor parameters

    Creator:
    Lorenzini, Paul Gilbert
    Abstract:
    Because of the complicated form of the diffusion equation, approximations are necessary to treat the energy dependence for practical problems. The standard model is the few group approximation. A second approximate form, the overlapping group or modal method, is examined and more fully developed in this work to provide an...
    Resource Type:
    Dissertation
    Full Text:
    for the space variable assuming a form et. 3 (x, y, z) = N Z.( z) Hi. (x, i=1 (1-14) where j is

  • Neutron shadow holography: a feasibility study

    Creator:
    Coe, Douglas H.
    Abstract:
    Neutron shadow holography is a method of obtaining a three-dimensional neutron radiograph of an object using a Fresnel zone plate as an encoding aperture. The object is reconstructed by passing laser light through a miniature copy of the radiograph. The technique has been applied extensively with X-rays and gamma rays...
    Resource Type:
    Masters Thesis
    Full Text:
    Abstract Approved: A. H. Robinson Neutron shadow holography is a method of obtaining a three-dimensional

  • A two-group study on the gadolinium particle depletion in light water reactor fuel rods

    Creator:
    Lee, Chungchan
    Abstract:
    The effect of gadolinia particles on the assembly criticality of a light water reactor was investigated using two 2-group models. The particle effect was calculated by comparing the criticalities of two fuel assemblies, each containing one gadolinia-poisoned rod. For purposes of comparison, both rods contained an equal quantity of gadolinia,...
    Resource Type:
    Dissertation
    Full Text:
    + sin0 j + 0k , (2.1) where I, j, k are respectively, the unit vectors along the x, y, and z axes. Since