Mathematical Modeling of Dilute Gas Using Monte Carlo Method

This paper investigates the simulation of rarefied gas flows using the Direct Simulation Monte Carlo (DSMC) method. DSMC is a particle-based numerical approach particularly well-suited for regimes where the continuum hypothesis is no longer valid. The study focuses on two-dimensional channel flows and examines the formulation and performance of pressure based inlet and outlet boundary conditions. Both existing and newly proposed boundary condition schemes are implemented and their impact on flow behaviour is analysed in terms of pressure distribution, velocity fields, and temperature profiles. The results provide insight into the advantages and limitations of different boundary treatments, providing guidance for their application in rarefied gas simulations.