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A multigroup approach to the non-linear extended boltzmann equation

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Il Nuovo Cimento D

Summary

Following a procedure which is typical of linear (neutron) transport theory, a multigroup approach is proposed for the non-linear extended Boltzmann equation in the presence of removal, a background medium, an external source and an external force field. The relevant multigroup equations, corresponding to a discretization of the speed variable only, are derived and discussed, especially in connection with the so-called semi-discrete models recently introduced in kinetic theory.

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Authors and Affiliations

  1. Dipartimento di Matematica dell'Università, Parma, Italy

    G. L. Caraffini & G. Spiga

  2. Department of Nuclear Engineering, University of Arizona, Tucson, AZ, USA

    B. D. Ganapol

Authors
  1. G. L. Caraffini
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  2. B. D. Ganapol
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  3. G. Spiga
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Caraffini, G.L., Ganapol, B.D. & Spiga, G. A multigroup approach to the non-linear extended boltzmann equation. Il Nuovo Cimento D 17, 129–142 (1995). https://doi.org/10.1007/BF02451592

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  • DOI: https://doi.org/10.1007/BF02451592

PACS 51.10

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