Response Matrix Solution Using Boundary Condition Perturbation Theory for the Diffusion Approximation

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A second-order response matrix method is developed for solving the diffusion equation in a coarse-mesh grid. In this method, the problem domain is divided into a grid of coarse meshes (nodes) of the size of a fuel assembly. Then, by using the fact that all nodes have the same eigenvalue, an equation is developed for the node interface current to flux ratio. The fine-mesh solution in the domain is then obtained by evaluating perturbation expressions for the core eigenvalue and the flux with the node interface current to flux ratios and the precomputed Green's functions for the unique assemblies in ... continued below

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541 Kilobytes pages

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McKinley, M.S. & Rahnema, F. June 26, 2002.

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A second-order response matrix method is developed for solving the diffusion equation in a coarse-mesh grid. In this method, the problem domain is divided into a grid of coarse meshes (nodes) of the size of a fuel assembly. Then, by using the fact that all nodes have the same eigenvalue, an equation is developed for the node interface current to flux ratio. The fine-mesh solution in the domain is then obtained by evaluating perturbation expressions for the core eigenvalue and the flux with the node interface current to flux ratios and the precomputed Green's functions for the unique assemblies in the system. The Green's functions and the perturbation expressions for the eigenvalue and flux are based on a high-order boundary condition perturbation method developed recently. Two example problems are used to assess the accuracy of the new method.

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541 Kilobytes pages

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  • The 2002 ANS RPD Topical Meeting PHYSOR 2002, Seoul (KR), 10/07/2002--10/10/2002

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  • Report No.: UCRL-JC-148903
  • Grant Number: W-7405-Eng-48
  • Office of Scientific & Technical Information Report Number: 802838
  • Archival Resource Key: ark:/67531/metadc738859

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  • June 26, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • May 6, 2016, 3:48 p.m.

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McKinley, M.S. & Rahnema, F. Response Matrix Solution Using Boundary Condition Perturbation Theory for the Diffusion Approximation, article, June 26, 2002; California. (digital.library.unt.edu/ark:/67531/metadc738859/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.