A numerical solution of the coupled proton-H atom transport equations for the proton aurora

Details A numerical solution of the coupled proton-H atom transport equations for the proton aurora A numerical solution of the coupled proton-H atom transport equations for the proton aurora

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jgr....9519069b&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 95, Nov. 1, 1990, p. 19069-19078. Research supported by USAF.

Computer Science

Numerical Analysis

13

Hydrogen Atoms, Numerical Analysis, Proton Flux Density, Transport Properties, Boltzmann Transport Equation, Computer Techniques, Electron Density Profiles

Scientific paper

A numerical code has been developed to solve the coupled proton-H atom linear transport equations for the proton aurora. The transport equations have been simplified by using plane-parallel geometry and the forward-scattering approximations only. Otherwise, the equations and their numerical solutions are exact. Results are presented for the particle fluxes and the energy deposition rates, and they are compared with the previous analytical results that were obtained by using additional simplifying approximations. It is found that, although the analytical solutions for the particle fluxes differ somewhat from the numerical solutions, the energy deposition rates calculated by the two methods agree to within a few percent. The accurate particle fluxes given by the numerical code are useful for accurate calculations of the characteristic quantities of the proton aurora, such as the ionization rates and the emission rates.

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