@Article{CiCP-22-2,
author = {},
title = {A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {2},
pages = {338--374},
abstract = {<p style="text-align: justify;">For gas flows with moderate and low Knudsen numbers, pair-wise collisions
in the Boltzmann equation can be approximated by the Langevin model corresponding
to the Fokker-Planck equation. Using this simplified collision model, particle
numerical schemes, e.g. the Fokker-Planck model (FPM) method, can simulate
low Knudsen number gas flows more efficient than those based on the Boltzmann
equation, such as the Direct Simulation Monte Carlo (DSMC) method. However, as
analyzed in this paper, the transport properties of the FPM method deviate from the
physical values as the time step increases, and this problem affects its computational
accuracy and efficiency for the simulation of multi-scale flows. Here we propose a particle
Fokker-Planck algorithm with multiscale temporal discretization (MTD-FPM) to
overcome the drawbacks of the original FPM method. In the MTD-FPM method, the
molecular motion is tracked following the integration scheme of the Langevin model
in analogy to the original FPM method. However, to ensure consistent transport coefficients
for arbitrary temporal discretization, a time step dependent friction coefficient
has been implemented. Several benchmark problems, including Couette, thermal Couette,
Poiseuille, and Sod tube flows, are simulated to validate the proposed MTD-FPM
method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0134},
url = {https://global-sci.com/article/80142/a-particle-fokker-planck-algorithm-with-multiscale-temporal-discretization-for-rarefied-and-continuum-gas-flows}
}