A new heterogeneous multiscale technique for microscale gas flows

We present a new hybrid method for dilute gas flows that heterogeneously couples a continuum-fluid description to the direct simulation Monte Carlo (DSMC) method. A continuum-fluid model is applied across the entire domain, while DSMC is applied in spatially-distributed micro regions. Using a field-wise coupling approach, DSMC sub-domains of any size can be placed at any location. The sub-domain arrangement can therefore be adjusted for each problem to capture non-equilibrium behaviour both close to bounding walls and in the bulk. We demonstrate our method on a test case of high-speed micro Couette flow. With large differences in wall velocity, significant viscous heating is present, and so our coupling considers the transfer of both momentum and heat. Our hybrid results are validated against a pure DSMC simulation, and the results show that the method can deal with missing boundary and constitutive information.