Accelerated Lattice Boltzmann-Monte Carlo Method for Simulation of Rarefied Material Dynamics

The feasibility of a new approach that will accelerate the modeling of problems involving rarefied gas dynamics is established. The proposed hybrid approach solves the Boltzmann equation directly using a carefully designed discrete-velocity model and adiscrete Monte Carlo collision process with several extensions that accelerates its computational capability in comparison with direct simulation Monte Carlo (DSMC). Moreover, in the low Knudsen number limit, the new method seamlessly becomes an efficientsimulator of continuum flows called the Lattice Boltzmann method (LBM). The end product will be a new simulation tool with significantly improved computational efficiency for combination continuum/rarefied flow applications. The developed technology willenable significantly higher fidelity and more accurate simulation of rarefied gas dynamics, a critical element in the design of components in numerous defense and civilian applications. Potential applications include improved adaptive flow control inmicrofluidic structures, improved material fabrication techniques, and improved modeling of physical phenomena entailed in upper atmospheric flight.