Yazar "Türeci, R. Gökhan" seçeneğine göre listele

Listeleniyor 1 - 6 / 6
  • [ X ]
    Öğe
    The albedo problem for pure-quadratic anisotropic scattering with Inonu scattering
    (Carl Hanser Verlag, 2010) Türeci, R. Gökhan
    In this study the half-space albedo problem has been investigated for highly an isotropic scattering. For this highly anisotropic scattering the Inonu scattering has been added to the pure-quadratic anisotropic scattering. The general solution of the one-speed neutron transport equation can be written as linear combination of the solutions which involve these scatterings. Hence, Case's eigenfunctions and the related semi-analytical methods can be used to get the albedo calculations. Some selected numerical data have been tabulated. To compare these results with the Mona scattering values the linear interpolation technique has been used. Successful results have been achieved.
  • [ X ]
    Öğe
    Half-Space Albedo Problem for Triplet Anlı-Güngör Scattering
    (Taylor and Francis Ltd., 2023) Türeci, R. Gökhan; Gülderen, Demet
    Introduction: The Anlı-Güngör (AG) scattering function which is written in triplet form is applied to the half-space albedo problem. The aim of the study is to compare the results of albedo between the triplet AG scattering and quadratic AG scattering. Methods: The analytical calculations are performed by HN method. Since the HN method is based on the usage of the Case eigenfunctions, they should be derived for the interested in this study. The tabulated results are calculated for varying the secondary neutron number and the scattering parameter. Albedo values for the triplet anisotropic scattering are convergent. A special code is used to get the numerical values in Mathematica with high precision This code holds all numerical values and the results of all algebraic process as a rational number. Thus, the round-off errors in machine language are minimized. A second and completely different numerical process is performed with the Polynomial Regression (PR) and the Artificial Neural Network (ANN). The application of the PR and ANN algorithms are studied with the calculated albedo results in this study. This application is only data mining without performing any analytical calculation. Discussion: The expectation is to get bigger albedo values than the quadratic AG scattering. But the results are surprising that the triplet and the quadratic albedo results are close to each other. The result of ANN is more successful than PR results. Moreover, the intermediate values that are not in the data set can also be successfully calculated. © 2023 Taylor & Francis Group, LLC.
  • [ X ]
    Öğe
    Solving the criticality problem with the reflected boundary condition for the triplet anisotropic scattering with the modified FN method
    (Carl Hanser Verlag, 2015) Türeci, R. Gökhan
    One speed, time independent neutron transport equation in slab geometry can be solved with the triplet anisotropic scattering for the criticality problem with the reflected boundary condition. The value of the critical slab thickness is investigated numerically by using the Modified F-N (H-N) method. Case's eigenfunctions, normalization relation and orthogonality relations must be derived for this scattering in order to use the Modified FN method. Some selected values, which can be calculated from the criticality equation, can be tabulated. Also the term which comes from the Poincare-Bertrand formula may be added to the orthogonality formula of the continuum eigenfunction.
  • Küçük Resim
    Öğe
    The Criticality Problem for the Anisotropic Scattering with Two Discrete Eigenvalues
    (Taylor & Francis Inc, 2024) Türeci, R. Gökhan; Bozkir, A. Z.; Sahni, D. C.
    In a recent study, the eigenvalue numbers of Case eigenfunctions were investigated for the situation of anisotropic scattering. The results of this study is applied to the criticality problem. The investigation is performed with two different methods: the singular value decomposition (SVD) method and the HN method. The former was recently improved using the SVD to solve the matrix of the problem, and the latter is based on the usage of the Case method for proper boundary conditions. We have two different eigenvalues for the given number of secondary neutrons and the scattering parameter. Either these eigenvalues are both complex, or one is complex and one is real. The investigation is to show the effect of the second eigenvalues over the critical thickness values.
  • [ X ]
    Öğe
    The Slab Critical Thickness Problem with Reflecting Boundary Condition for the Anlı-Güngör Scattering Function
    (2023) Gülderen, Demet; Türeci, R. Gökhan
    The criticality equation, which defines the relation between the secondary neutron number and the thickness of the slab, and the numerical solutions of this equation are investigated with reflecting boundary condition for the recently studied the Anlı-Güngör (AG) scattering function. The analytical calculations are performed by HN method. The numerical results are calculated with Wolfram Mathematica software for the varying secondary neutron number, the varying scattering parameter, and the varying reflection coefficient. The critical slab thickness values decrease for increasing reflection coefficient as expected.
  • [ X ]
    Öğe
    Time dependent albedo problem for quadratic anisotropic scattering
    (Carl Hanser Verlag, 2007) Türeci, R. Gökhan; Türeci, D.
    Case's eigenfunctions and their orthogonality relations can be improved assuming pure-quadratic anisotropic neutron scattering. As a result, the infinite medium Green function can be written with those eigenfunctions terms. Choosing the appropriate boundary conditions and using the method of singular eigenfunctions, the half-space values are obtained. Our numerical results for this problem are reported.