Multidimensional spacial eigenmode analysis.

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Several recent papers have examined higher mode eigenvalues and eigenfunctions fo r multiplying systems. The general application focus of these papers is related to determining the dominance ratio, which is of great interest to people analyzing loosely coupled fissile systems . For large systems, we derived some simple approximations to the dominance ratio, and we continue this analysis in this paper. In the previous papers, we were able to utilize semianalytical techriiques because we mainly examined one-dimensional Cartesian systems. In this paper we analyze the effectiveness of using reflective boundary conditions for multi-dimensional system s and expand past work by ... continued below

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[8] p.

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Parsons, Donald Kent & Kornreich, D. E. (Drew E.) January 1, 2003.

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Description

Several recent papers have examined higher mode eigenvalues and eigenfunctions fo r multiplying systems. The general application focus of these papers is related to determining the dominance ratio, which is of great interest to people analyzing loosely coupled fissile systems . For large systems, we derived some simple approximations to the dominance ratio, and we continue this analysis in this paper. In the previous papers, we were able to utilize semianalytical techriiques because we mainly examined one-dimensional Cartesian systems. In this paper we analyze the effectiveness of using reflective boundary conditions for multi-dimensional system s and expand past work by examining two- and three-dimensional eigenfunctions.

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[8] p.

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  • Submitted to: June 2003 American Nuclear Society Conference, San Diego, California

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  • Report No.: LA-UR-03-0567
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 976526
  • Archival Resource Key: ark:/67531/metadc933229

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  • January 1, 2003

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 12:34 p.m.

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Parsons, Donald Kent & Kornreich, D. E. (Drew E.). Multidimensional spacial eigenmode analysis., article, January 1, 2003; United States. (digital.library.unt.edu/ark:/67531/metadc933229/: accessed January 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.