Statistics – Computation
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988asee.nasa...59g&link_type=abstract
In Hampton Inst., NASA/American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program 1988 p 59-60 (SEE N89
Statistics
Computation
Approximation, Computerized Simulation, Galactic Cosmic Rays, Heavy Ions, Laplace Transformation, Radiation Damage, Spacecraft Environments, Transport Properties, Algorithms, Computation, Radiation Shielding, Spacecraft Design
Scientific paper
In order to anticipate future space shielding requirements, NASA has initiated an effort to formulate computational methods to simulate radiation effects in space. As part of the program, numerical transport algorithms have been developed for the deterministic Boltzman equation describing galactic cosmic ray (GCR) interactions with matter. It thus becomes necessary to assess the accuracy of proposed deterministic algorithms. For this reason, analytical benchmark solutions to mathematically tractable galactic cosmic ray equations have recently been obtained. Even though these problems involve simplifying assumptions of the associated physics, they still contain the essential features of the basic transport processes. The solutions obtained are features of the basic transport processes. The solutions obtained are compared to results from numerical algorithms in order to ensure proper coding and to provide a measure of the accuracy of the numerical methods used in the algorithm. For the first time, mathematical methods have been applied to the galactic ion transport (GIT) equations in the straight ahead approximation with constant nuclear properties. The approach utilizes a Laplace transforms inversion yielding a closed form benchmark solution which is also computationally efficient.
Ganapol Barry D.
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