A new family of Monte Carlo schemes has been recently introduced for the numerical solution of the Boltzmann equation of rarefied gas dynamics[14]. After a splitting of the equation the time discretization of the collision step is obtained from the Wild sum expansion of the solution by replacing high order terms in the expansion with the equilibrium Maxwellian distribution. The corresponding ti...

The micro-scale gas flows are usually low-speed flows and exhibit rarefied gas effects. It is challenging to simulate these flows because traditional CFD method is unable to capture the rarefied gas effects and the direct simulation Monte Carlo (DSMC) method is very inefficient for low-speed flows. In this study we combine two techniques to improve the efficiency of the DSMC method. The informa...

In highly adaptive irregular problems such as many Particle-In-Cell (PIC) codes and Direct Simulation Monte Carlo (DSMC) codes, data access patterns may vary from time step to time step. This uctuationmay hinder e cient utilization of distributed memory parallel computers because of the resulting overhead for data redistribution and dynamic load balancing. To e ciently parallelize such adaptive...

In this paper, a new decentralized fuzzy sliding mode control (DFSMC) strategy for a class of large-scale nonlinear systems (LSNS) with strong unknown interconnections is proposed. The main objective of our contribution is to reduce the used switching gains in the decentralized sliding mode controller (DSMC) to decrease the chattering amplitude in the presence of strong interconnections in each...

In this study, the nonequilibrium effects at the stagnation wall in one-dimensional unsteady micro ow responding to the external sinusoidal oscillation are investigated. The  uctuating behavior of the rareŽ ed medium is simulated by employing the unsteady DSMC method under various conditions with different acoustic Reynolds and Knudsen numbers. As a result, it is found that the nonequilibrium...

Purpose The purpose of this paper is to study the soot formation and evolution by using newly developed Lagrangian particle tracking with weighted fraction Monte Carlo (LPT-WFMC) method. Design/methodology/approach particles are used in MC framework tracked approach. A detailed model based on LPT-WFMC method ethylene laminar premixed flames. Findings validated both experimental numerical result...

In this thesis we investigate the ability of the Runge-Kutta Discontinuous Galerkin (RKDG) method to provide accurate and efficient solutions of the Boltzmann equation. Solutions of the Boltzmann equation are desirable in connection to small scale science and technology because when characteristic flow length scales become of the order of, or smaller than, the molecular mean free path, the Navi...

A preliminary hybrid particle-continuum computational framework for simulating hypersonic interacting flows is proposed. The framework consists of the direct simulation Monte Carlo-Information Preservation (DSMC-IP) method coupled with a NavierStokes solver. Since the DSMC-IP method provides the macroscopic information in each time step, determination of the continuum fluxes across the interfac...