A fast Fourier spectral method is an efficient technique of solving the Boltzmann collision operator. The fast Fourier spectral method combined with a discontinuous Galerkin spatial discretization offers a highly accurate and high-order solution of the full Boltzmann equation. In this paper, verification of a discontinuous Galerkin fast spectral (DGFS) Boltzmann solver is presented for classical rare fied flow problems, by comparisons with standard rare fied flow solvers; such as direct simulation Monte Carloand Navier-Stokes-Fourier continuum-based solvers. Anormal shock, one-dimensional Couette, and two-dimensional microchannel flows were considered at varying degrees of flow rarefaction.

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