Particle-based hybrid and multiscale methods for nonequilibrium gas flows

J Zhang, B John, M Pfeiffer, F Fei, D Wen - Advances in Aerodynamics, 2019 - Springer
Over the past half century, a variety of computational fluid dynamics (CFD) methods and the
direct simulation Monte Carlo (DSMC) method have been widely and successfully applied to …

Efficient parallel solver for rarefied gas flow using GSIS

Y Zhang, J Zeng, R Yuan, W Liu, Q Li, L Wu - Computers & Fluids, 2024 - Elsevier
Recently, the general synthetic iterative scheme (GSIS) has been proposed to find the
steady-state solution of the Boltzmann equation in the whole range of gas rarefaction, where …

A three-dimensional modal discontinuous Galerkin method for the second-order Boltzmann-Curtiss-based constitutive model of rarefied and microscale gas flows

S Singh, A Karchani, T Chourushi, RS Myong - Journal of Computational …, 2022 - Elsevier
A three-dimensional mixed modal discontinuous Galerkin (DG) method based on tetrahedral
meshes was developed for simulating all flow regimes from subsonic to hypersonic rarefied …

A novel transient-adaptive subcell algorithm with a hybrid application of different collision techniques in direct simulation Monte Carlo (DSMC)

S Stefanov, E Roohi, A Shoja-Sani - Physics of Fluids, 2022 - pubs.aip.org
A novel hybrid transient adaptive subcell (TAS) direct simulation Monte Carlo (DSMC)
algorithm is proposed to simulate rarefied gas flows in a wide range of Knudsen numbers. It …

[HTML][HTML] A second-order particle Fokker-Planck model for rarefied gas flows

S Kim, W Park, E Jun - Computer Physics Communications, 2024 - Elsevier
Abstract The direct simulation Monte Carlo (DSMC) method has become a powerful tool for
studying rarefied gas flows. However, for the DSMC method to be effective, the cell size must …

An evaluation of the hybrid Fokker–Planck-DSMC approach for high-speed rarefied gas flows

S Kim, E Jun - Computers & Fluids, 2024 - Elsevier
Abstract The Direct Simulation Monte Carlo (DSMC) method has been widely used for
simulations of rarefied gas flows. It has been proven that the numerical solution of the DSMC …

Fokker–Planck–DSMC algorithm for simulations of rarefied gas flows

MH Gorji, P Jenny - Journal of Computational Physics, 2015 - Elsevier
A Fokker–Planck based particle Monte Carlo algorithm was devised recently for simulations
of rarefied gas flows by the authors [1],[2],[3]. The main motivation behind the Fokker–Planck …

Exponential Bhatnagar-Gross-Krook integrator for multiscale particle-based kinetic simulations

M Pfeiffer, F Garmirian, MH Gorji - Physical Review E, 2022 - APS
Despite the development of an extensive toolbox of multiscale rarefied flow simulators, such
simulations remain challenging due to the significant disparity of collisional and …

A benchmark study of kinetic models for shock waves

F Fei, H Liu, Z Liu, J Zhang - AIAA Journal, 2020 - arc.aiaa.org
It is well-known that the Boltzmann collision term can be simplified by Bhatnagar–Gross–
Krook (BGK) and Fokker–Planck (FP) models. These two kinetic models satisfy the …

Critical assessment of various particle Fokker–Planck models for monatomic rarefied gas flows

S Kim, H Gorji, E Jun - Physics of Fluids, 2023 - pubs.aip.org
In the past decade, the particle-based Fokker–Planck (FP) method has been extensively
studied to reduce the computational costs of the direct simulation Monte Carlo method for …