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Titlebook: Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows; V. V. Aristov Book 2001 Springer Science+Business Med

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https://doi.org/10.1007/978-3-662-50389-8 first who begun to study the peculiarities of oblique shock wave reflection and was able to identify two types of these reflections [.]. After the works of von Neumann in the 40s (see [.]), numerous papers devoted to this question started to appear. The main issue of the problem is the following. D
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Multi-Dimensional Problems. Study of Free Jet Flows,roblems? The practical possibilities lay in the use of simulation methods. However, construction of the conservative methods and application of new computers allowed acceptable solutions to be obtained with the use of coarse grids in different complex problems.
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Survey of Mathematical Approaches to Solving the Boltzmann Equation,ical approaches (including analytical and numerical methods) in this area. Nevertheless, there are some reviews and some chapters of books concerning this aspect. We can cite only a few works on these theme (see [.–.]). Some of these survey papers were presented to conferences and symposia.
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Main Features of the Direct Numerical Approaches,es intrinsic to computational mathematics based on notions of approximation and convergence. In contrast, for example, to the physical and engineering ideas of Monte Carlo simulation, the direct approaches (besides the obvious physical analogies) appeal originally to clear mathematical images. Howev
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Deterministic (Regular) Method for Solving the Boltzmann Equation,tion in the collision operators [.–.]. Note, that the other discrete velocity approaches with constant coefficients in the quadratic form approximating the right-hand side of the Boltzmann equation are developed in recent years [.–.]. Such numerical schemes are attractive due to the simple structure
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