Abstract
The present class of problems is the most simple one in the kinetic gas theory and at the same time is of great importance because a relaxation process is a part of more complicated kinetic processes. The numerical study of the Boltzmann equation started with similar problems. Many of them have been rather well analyzed and are taken as test cases when developing new methods. Besides, the special relaxation problems may stimulate the formulation of new problems when studying new phenomena described by the Boltzmann equation (and related equations) which can be solved by the use of the numerical algorithms developed. Uniform relaxation is part of the conservative splitting scheme, therefore a study of this process is essential. On the other hand, obtaining the solution of the uniform relaxation in fact resolves a construction of the splitting algorithm because the second stage - namely, the colissionless flow — is significantly simpler.
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Aristov, V.V. (2001). Study of Uniform Relaxation in Kinetic Gas Theory. In: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows. Fluid Mechanics and its Applications, vol 60. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0866-2_8
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DOI: https://doi.org/10.1007/978-94-010-0866-2_8
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