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Implicit Boundary Conditions for Direct Simulation Monte Carlo Method in MEMS Flow Predictions

W.W. Liou1, Y.C. Fang1
Western Michigan University, Kalamazoo, MI 49008, USA Department of Mechanical and Aeronautical Engineering.

Computer Modeling in Engineering & Sciences 2000, 1(4), 119-128.


A simple implicit treatment for the low speed inflow and outflow boundary conditions for the direct simulation Monte Carlo (DSMC) of the flows in microelectromechanical systems (MEMS) is proposed. The local mean flow velocity, temperature, and number density near the subsonic boundaries were used to determine the number of molecules entering the computational domain and their corresponding velocities at every sample average step. The proposed boundary conditions were validated against micro-Poiseuille flows and micro-Couette flows. The results were compared with analytical solutions derived from the Navier-Stokes equations using first-order and second order slip-boundary conditions. The results show that the implicit treatment of the subsonic flow boundaries is robust and appropriate for use in the DSMC of the flows in MEMS.


DSMC, MEMS, boundary conditions, micro-Poiseuille flow, micro-Couette flow.

Cite This Article

Liou, W., Fang, Y. (2000). Implicit Boundary Conditions for Direct Simulation Monte Carlo Method in MEMS Flow Predictions. CMES-Computer Modeling in Engineering & Sciences, 1(4), 119–128.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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