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A method for direct numerical integration of the Boltzmann equationThe principal difficulties in numerical solution of the Boltzmann equation are considered. The study is aimed at formulating a numerical solution in such a manner that it contains a minimum amount of excess information at the distribution function level. It is pointed out that the accurate calculation of the distribution function at each point in phase space requires a tremendous number of operations, due to the necessity of solving five-fold quadratures in the collision integral. This results in the operational memory of the digital computer being insufficient to store all the data on the distribution functions at the necessary points in phase space. An algorithm is constructed involving successive iterations of the Boltzmann equation which does not require storage of each step of the new distribution function.
Document ID
19730012760
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Cheremisin, F. G.
(Translation Consultants Ltd. Arlington, VA, United States)
Date Acquired
August 7, 2013
Publication Date
July 1, 1972
Publication Information
Publication: Numerical Methods in the Theory of Rarefied Gases
Subject Category
Mathematics
Accession Number
73N21487
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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