In this work we present a hybrid particle-grid Monte Carlo method for the Boltzmann equation, which is characterized by a significant reduction of the stochastic noise in the kinetic regime. The hybrid method is based on a first order splitting in time to separate the transport from the relaxation step. The transport step is solved by a deterministic scheme, while a hybrid DSMC-based method is ...

Abstract. A new class of schemes of the DSMC type for computing near-continuum flows has been recently suggested: the time-relaxed Monte Carlo (TRMC) methods. An important step preceding the wide use of these schemes is their validation by classical homogeneous and one-dimensional problems of gas dynamics. For this purpose, a plane Couette flow is considered in the present paper. A comparison o...

The direct simulation Monte Carlo (DSMC) method is a versatile computational technique capable of simulating a wide range of gas ows. It can compute from the continuum to the rar-eeed regime. It is a molecular simulation method and consequently it can model complex thermo-chemical physics with relative ease. Unfortunately the method is computationally expensive in terms of memory and compute ti...

This work concerns the development of a gridless method for modeling the interparticle collisions of a gas. Conventional fixed-grid algorithms are susceptible to grid-mismatch to the physical system, resulting in erroneous solutions. On the contrary, a gridless algorithm can be used to simulate various physical systems without the need to perform grid-mesh optimization. An octree algorithm prov...

The direct simulation Monte Carlo (DSMC) method is a stochastic approach to solve the Boltzmann equation and is built on various numerical schemes for transport, collision and sampling. This work aims to compare and contrast two popular O(N) DSMC collision schemes no-time-counter (NTC) and majorant collision frequency (MCF) with the goal of identifying the fundamental differences. MCF and NTC s...

The direct simulation Monte Carlo (DSMC) method is versatile computational technique suitable for the simulation of a wide range of gas ows. It can deal with thermo-chemical non-equilibrium eeects with relative ease. However its computational cost has limited its application to rareeed or simple transitional ows. However DSMC is well suited to implementation on powerful multi-processor architec...

Rarefied gas flows through micro-channels are simulated using particle approaches, named as the information preservation (IP) method and the direct simulation Monte Carlo (DSMC) method. In simulating the low speed flows in long micro-channels the DSMC method encounters the problem of large sample size demand and the difficulty of regulating boundary conditions at the inlet and outlet. Some impo...

gas mixing in a t-shape micro mixer has been simulated using the direct simulation monte carlo (dsmc) method. it is considered that the adequate mixing occurs when the mass composition of the species, co or n2, deviates below 1 % from their equilibrium composition. the mixing coefficient is defined as the ratio of the mixing length to the main channel’s height. as the inlet kn increases, while ...