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Modified relaxation time Monte Carlo method for continuum-transition gas flows. (English) Zbl 1137.76046

Summary: Gas flows in the continuum-transition regime often occur in micro-electro-mechanical systems. Here we modify the relaxation time Monte Carlo (RTMC) method by using an ellipsoid statistical model and a multiple translational temperature in BGK equation to simulate continuum-transition gas flows. The modified RTMC method uses a simplified form of generalized relaxation time, which is related to the macro-velocity and local Knudsen number. The results for Couette flow and Poiseuille flow in microchannels predicted using the modified RTMC and the DSMC are in good agreement. However, it turns out that the modified RTMC is much faster than DSMC for continuum-transition gas flow simulations.

MSC:

76M35 Stochastic analysis applied to problems in fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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