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A multigroup approach to the non-linear extended boltzmann equation
Authors:G. L. Caraffini  B. D. Ganapol  G. Spiga
Affiliation:(1) Dipartimento di Matematica dell'Università, Parma, Italy;(2) Department of Nuclear Engineering, University of Arizona, Tucson, AZ, USA
Abstract:
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.
Keywords:Kinetic and transport theory
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