Reduced angular moment model for the transport of electrons particles: application to radiotherapy
B. Dubroca (University Bordeaux 1, France), M. Frank (University of Kaiserslautern, Germany) and R. Duclous (University Bordeaux 1, France)
We derive a new model of the electrons transport from full kinetic equation for electrons. This new model involves an angular closure in the phase space and retain only the energy of particles as kinetic dimension. The model is exact for the transport of the beams and the isotropic regime. The model can be formulated as a multi-group hyperbolic system of conservation laws and can be approximated with the usual numerical schemes of the non-linear hyperbolic analysis. Some numerical examples are shown to illustrate the efficiency of this approach.