The linear Boltzmann equation in slab geometry - Development and verification of a reliable and efficient solution

Details The linear Boltzmann equation in slab geometry - Development and verification of a reliable and efficient solution The linear Boltzmann equation in slab geometry - Development and verification of a reliable and efficient solution

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991p%26ss...39.1435s&link_type=abstract

Planetary and Space Science (ISSN 0032-0633), vol. 39, Oct. 1991, p. 1435-1463.

Physics

7

Atmospheric Physics, Boltzmann Transport Equation, Gas Dynamics, Geometry, Transport Theory, Computerized Simulation, Diffusion, Kinetic Theory, Radiative Transfer, Random Walk

Scientific paper

The linear Boltzmann equation can be cast in a form mathematically identical to the radiation-transport equation. A multigroup procedure is used to reduce the energy (or velocity) dependence of the transport equation to a series of one-speed problems. Each of these one-speed problems is equivalent to the monochromatic radiative-transfer problem, and existing software is used to solve this problem in slab geometry. The numerical code conserves particles in elastic collisions. Generic examples are provided to illustrate the applicability of this approach. Although this formalism can, in principle, be applied to a variety of test particle or linearized gas dynamics problems, it is particularly well-suited to study the thermalization of suprathermal particles interacting with a background medium when the thermal motion of the background cannot be ignored. Extensions of the formalism to include external forces and spherical geometry are also feasible.

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