Benchmark solutions for the galactic ion transport equations. Energy and spatially dependent problems

Barry D. Ganapol, Lawrence W. Townsend, John W. Wilson

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

Nontrivial benchmark solutions are developed for the galactic ion transport (GIT) equations in the straight-ahead approximation. These equations are used to predict potential radiation hazards in the upper atmosphere and in space. Two levels of difficulty are considered: (1) energy independent and (2) spatially independent. The analysis emphasizes analytical methods never before applied to the GIT equations. Most of the representations derived have been numerically implemented and compared with more approximate calculations. Accurate ion fluxes (to 3 to 5 digits) are obtained for nontrivial sources. For monoenergetic beams, both accurate doses and fluxes are found. The benchmarks presented herein are useful in assessing the accuracy of transport algorithms designed to accommodate more complex radiation protection problems. In addition, these solutions can provide fast and accurate assessments of relatively simple shield configurations.

Original languageEnglish (US)
Title of host publicationNASA Technical Paper
Edition2878
StatePublished - Mar 1 1989

ASJC Scopus subject areas

  • Aerospace Engineering

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    Ganapol, B. D., Townsend, L. W., & Wilson, J. W. (1989). Benchmark solutions for the galactic ion transport equations. Energy and spatially dependent problems. In NASA Technical Paper (2878 ed.)