Combining the monotonic Lagrangian grid with a direct simulation Monte Carlo model (Q1908738)

Using the monotonic Lagrangian grid (MLG) as a data structure in the direct simulation Monte Carlo methodology produces an approach that automatically adjusts grid resolution to time-varying densities in the flow. Monotonicity features of the MLG ensure that particles close in physical space are stored in adjacent array locations so that particle interactions may be restricted to a ``template'' of near neighbors. The MLG templates provide a time-varying grid network that automatically adapts to local number densities within the flowfield. Computational advantages and disadvantages of this new implementation are demonstrated by a series of test problems.