[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 …

A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction

M Sadr, NG Hadjiconstantinou - Journal of Computational Physics, 2023 - Elsevier
We present a variance-reduced method for efficiently solving the Boltzmann equation in all
rarefaction regimes. The proposed method is based on the VRDSMC method of Al-Mohssen …

Wasserstein-penalized Entropy closure: A use case for stochastic particle methods

M Sadr, NG Hadjiconstantinou, MH Gorji - Journal of Computational …, 2024 - Elsevier
We introduce a framework for generating samples of a distribution given a finite number of
its moments, targeted at particle-based solutions of kinetic equations and rarefied gas flow …

An efficient Wasserstein-distance approach for reconstructing jump-diffusion processes using parameterized neural networks

M Xia, X Li, Q Shen, T Chou - Machine Learning: Science and …, 2024 - iopscience.iop.org
We analyze the Wasserstein distance (W-distance) between two probability distributions
associated with two multidimensional jump-diffusion processes. Specifically, we analyze a …