Nuclear Science and Engineering · 1982 · 70 citations · 0 references
Natural SciencesPhysicsComputational PhysicsNuclear PhysicsPlasma PhysicsBoltzmann Transport EquationNeutron TransportNeutron Transport TheoryPlasma SimulationTime-dependent TransportBoltzmann Transport TheoryFokker - Planck EquationFokker-planck EquationsFokker-planck TheoryFokker-planck TransportMultigroup Neutron TransportNeutron Transport EquationNeutron Transport Modeling
After a short presentation of the Boltzmann-Fokker-Planck (BFP) equation, which was derived in a previous work, two numerical approaches to solve this equation are investigated-the multigroup method and a diamond scheme applied in a consistent way to space and energy variables. Because of the parabolic nature of the Fokker-Planck operator, it is shown that the standard neutron transport codes cannot solve such an equation. With the one-dimensional time-dependent BFP-1 code, many numerical results have been produced. All deal with the transport of charged particles in dense plasmas because such a problem is very severe from a numerical point of view. Other applications can be imagined since the BFP formalism is quite general.