We present an efficient particle method for solving the Boltzmann equation. The key ingredients of this work are the variance reduction ideas presented in Baker and Hadjiconstantinou [L.L. Baker, N.G. Hadjiconstantinou, Variance reduction for Monte Carlo solutions of the Boltzmann Equation, Physics of Fluids, 17 (2005) (art. no, 051703)] and a new collision integral formulation which allows the...

The implementation of an adaptive mesh embedding (h-reflnement) schemes using unstructured grid in two-dimensional Direct Simulation Monte Carlo (DSMC) method is reported. In this technique, local isotropic refinement is used to introduce new meshes where local cell Knudsen number is less than some preset value. This simple scheme, however, has several severe consequences affecting the performa...

The Direct Simulation Monte Carlo (DSMC) method is used to simulate the flow of rarefied gases. In the Macroscopic Chemistry Method (MCM) for DSMC, chemical reaction rates calculated from local macroscopic flow properties are enforced in each cell. Unlike the standard total collision energy (TCE) chemistry model for DSMC, the new method is not restricted to an Arrhenius form of the reaction rat...

A general purpose kinetic parallel flow solver was developed based on DSMC methodology. Basic characteristics of the solver and some examples of its application are outlined in the paper.

This paper presents a dynamic sliding mode control (DSMC) for open-loop unstable chemical or biochemical processes with time delay. The controller is based on the and internal model concepts. proposed DSMC has an P/PD to provide systems disturbance rejection. An identification method approximates nonlinear process first-order delayed (FODUP). reduced-order model(FODUP) used synthesize new contr...

Simulations of nonequilibrium gas flows have garnered significant interest in modern engineering problems involving rarefied flow characteristics. Despite the popularity direct simulation Monte Carlo (DSMC) method simulating such flows, its use low-speed is limited by statistical noises. The information preservation (IP) a promising alternative known for low noise properties. In this study, new...

These lecture notes present the basic theory and methods for the Direct Simulation Monte Carlo (DSMC) algorithm. Some of the open challenges in the treatment of complex, multi-scale flows are also discussed.

Molecular dynamics and DSMC models for energy transfer in argon dimer argon monomer collisions are compared. The inelastic collision number for these collisions is evaluated, and found to decrease significantly when gas temperature increases.