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The solution of the relaxation problem for the Boltzmann equation by the integral iteration methodThe Boltzmann equation is considered in terms of the problem of relaxation of some initial distribution function which depends only on velocities, to Maxwell's distribution function. The Boltzmann equation is given for the relaxation problem in which the distribution function f(t, u, v) is time dependent and is also dependent on two other variables u and v (the velocities of rigid spherical molecules). An iteration process is discussed in which the velocity space u, v is subdivided into squares, the distribution function in each square being approximated by the second-order surface from the values of the distribution function at nine points. The set of all of these points forms a network of u, v values at the nodes of which the distribution function can be found.
Document ID
19730012762
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Limar, Y. F.
(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
73N21489
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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