A New Consistent Discrete - VelocityModel for the Boltzmann
نویسندگان
چکیده
This paper discusses the convergence of a new discrete-velocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modiied model to DiPerna-Lions solutions of the Boltzmann equation. As a test numerical example, the solutions to the discrete problems are compared with the exact solution of the Boltz-mann equation in the space homogeneous case.
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تاریخ انتشار 2007