Green's function analysis of homogeneous slab time eigenvalues

Kornreich, D E; Parsons, Donald Kent

Title: Green's function analysis of homogeneous slab time eigenvalues

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Abstract

Several recent papers have examined higher mode eigenvalues and eigenfunctions for multiplying systems. One of the goals of these analyses was to produce benchmark-quality results of the fundamental multiplication eigenvalue along with associated higher mode eigenvalues. The Green's Function Method (GFM) was found to be quite useful in these analyses. In this paper we extend our use of the GFM to include the calculation of real time eigenvalues. Many large-scale transport codes have difficulty calculating negative time eigenvalues, and the availability of benchmark-quality positive time eigenvalues is also scarce. Thus, we enhance the suite of benchmark-quality results for nuclear code developers by adding some time eigenvalue results.

Authors:

Kornreich, D E ^[1]; Parsons, Donald Kent

Drew E.

Publication Date:: Thu Jan 01 00:00:00 EST 2004

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 977390

Report Number(s):: LA-UR-04-0034; LA-UR-04-34
TRN: US1002893

Resource Type:: Conference

Resource Relation:: Conference: Submitted to: American Nuclear Society Annual Meeting, Pittsburgh, Pennsylvania, June 2004

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; EIGENFUNCTIONS; EIGENVALUES; GREEN FUNCTION; RADIATION TRANSPORT

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                    Kornreich, D E, and Parsons, Donald Kent. Green's function analysis of homogeneous slab time eigenvalues.  United States: N. p., 2004. 
        Web.

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                    Kornreich, D E, & Parsons, Donald Kent. Green's function analysis of homogeneous slab time eigenvalues.  United States.

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                    Kornreich, D E, and Parsons, Donald Kent. 2004.  
        "Green's function analysis of homogeneous slab time eigenvalues".  United States.  https://www.osti.gov/servlets/purl/977390.

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@article{osti_977390,

  title        = {Green's function analysis of homogeneous slab time eigenvalues},

  author       = {Kornreich, D E and Parsons, Donald Kent},

  abstractNote = {Several recent papers have examined higher mode eigenvalues and eigenfunctions for multiplying systems. One of the goals of these analyses was to produce benchmark-quality results of the fundamental multiplication eigenvalue along with associated higher mode eigenvalues. The Green's Function Method (GFM) was found to be quite useful in these analyses. In this paper we extend our use of the GFM to include the calculation of real time eigenvalues. Many large-scale transport codes have difficulty calculating negative time eigenvalues, and the availability of benchmark-quality positive time eigenvalues is also scarce. Thus, we enhance the suite of benchmark-quality results for nuclear code developers by adding some time eigenvalue results.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/977390},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Thu Jan 01 00:00:00 EST 2004},

  month        = {Thu Jan 01 00:00:00 EST 2004}

}

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