Numerical investigation of the effect of boundary conditions for a highly rarefied gas flow using the GPU accelerated Boltzmann solver

Abstract The effect of the gas–surface interaction model on the rarefied gas flow between parallel plates is investigated on the basis of the Boltzmann kinetic equation. The Cercignani–Lampis model for diffuse scattering with incomplete energy accommodation is provided as the boundary condition on plates. The numerical analysis of the heat transfer problem between parallel plates with uniform and sinusoidal temperature distributions is carried out. The computational algorithm is adapted for solving the Boltzmann equation onto Graphics Processing Units (GPUs). The speedup of the GPU-accelerated computation is up to 50 times as compared to the CPU one. It was found that a non-uniform temperature distribution on plates induced a steady flow. In addition, the flow field strongly depends on the value of accommodation coefficients imposed in the Cercignani–Lampis model and this effect is more visible for high Knudsen numbers. Presented results are in good agreement with open literature ones obtained by means of the direct simulation Monte Carlo method.

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