A version of the discrete-ordinates method is used to solve in a unified manner some classical flow problems based on the Bhatnagar, Gross and Krook model in the theory of rarefiedgas dynamics. In particular, the thermal-creep problem and the viscous-slip (Kramers') problem are solved for the case of a semi-infinite medium, and the Poiseuille-flow problem, the Couetteflow problem and the thermal-creep problem are all solved for a wide range of the Knudsen number.
An analytical version of the discrete-ordinates method is used here to solve the classical
temperature-jump problem based on the BGK model in rarefied-gas dynamics. In addition to
a complete development of the discrete-ordinates method for the application considered, the
computational algorithm is implemented to yield very accurate results for the temperature
jump and the complete temperature and density distributions in the gas. The algorithm is
easy to use, and the developed code runs typically in less than a second on a 400 MHz
Pentium-based PC.
A recently established version of the discrete-ordinates method is used to develop a solution to a class of problems in the theory of rarefied-gas dynamics. In particular, an accurate solution for the flow, described by the Bhatnagar, Gross and Krook model, of a rarefied gas between two parallel plates is developed for a wide range of the Knudsen number.
An analytical version of the discrete-ordinates method is used here in the field of rarefied-gas dynamics to solve a version of the temperature-jump problem that is based on a linearized, variable collision frequency model of the Boltzmann equation. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield accurate numerical results for three specific cases: the classical BGK model, the Williams model ͑the collision frequency is proportional to the magnitude of the velocity͒, and the rigid-sphere model.
The ADO method, an analytical version of the discrete-ordinates method, is used to solve several classical problems in the rarefied gas dynamics field. The complete development of the solution, which is analytical in terms of the spatial variable, is presented in a way, such that, a wide class of kinetic models are considered, in an unified approach. A series of numerical results are showed and different simulations are used in order to establish a general comparative analysis based on this consistent set of results provided by the same methodology.
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