Two methods for solving the problem of heat transfer in a rarefied gas. (English. Russian original) Zbl 0727.76100

U.S.S.R. Comput. Math. Math. Phys. 30, No. 2, 193-195 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 4, 623-626 (1990).
Summary: The problem of stationary one-dimensional heat flow between parallel flat surfaces in a rarefied gas is solved using two independent numerical methods: the finite difference method of direct solution of the Boltzmann equation and the method of direct statistical simulation. By comparing the results, the accuracy of the methods is established and the algorithms for solving the problem are verified. The features of the flow are investigated for a wide range of Knudsen numbers.


76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
80A20 Heat and mass transfer, heat flow (MSC2010)
76M20 Finite difference methods applied to problems in fluid mechanics
76M25 Other numerical methods (fluid mechanics) (MSC2010)
82D05 Statistical mechanics of gases
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