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A direct method for solving the Boltzmann equation. (English) Zbl 0811.76050

Summary: A numerical method for solving the Boltzmann equation is proposed. This method is based on a finite difference scheme for the approximation of the collision kernel and on a finite element scheme for the transport phase. The properties of the Boltzmann equation are also satisfied in our method.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76M10 Finite element methods applied to problems in fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
65R20 Numerical methods for integral equations
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References:

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[2] Nanbu, K. Mo 10, October 1983. ”Interrelations between Various Direct Simulation Methods for Solving the Boltzmann Equation”. Vol 52, Mo 10, October, pp 3382–3388. J. of the Physical Society of Japan.
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