A comprehensive review on micro-and nano-scale gas flow effects: Slip-jump phenomena, Knudsen paradox, thermally-driven flows, and Knudsen pumps
The motivation of the current paper is to provide a detailed review of crucial topics in micro-
and nanoscale gas flows, ie, velocity slip and temperature jump phenomena and their …
and nanoscale gas flows, ie, velocity slip and temperature jump phenomena and their …
[HTML][HTML] Particle-based hybrid and multiscale methods for nonequilibrium gas flows
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 …
direct simulation Monte Carlo (DSMC) method have been widely and successfully applied to …
Unified gas-kinetic wave-particle methods I: Continuum and rarefied gas flow
The unified gas-kinetic scheme (UGKS) provides a framework for simulating multiscale
transport with the updates of both gas distribution function and macroscopic flow variables …
transport with the updates of both gas distribution function and macroscopic flow variables …
Fokker–Planck model for computational studies of monatomic rarefied gas flows
In this study, we propose a non-linear continuous stochastic velocity process for simulations
of monatomic gas flows. The model equation is derived from a Fokker–Planck approximation …
of monatomic gas flows. The model equation is derived from a Fokker–Planck approximation …
Unified gas-kinetic wave-particle methods. II. Multiscale simulation on unstructured mesh
In this paper, we present a unified gas-kinetic wave-particle (UGKWP) method on
unstructured mesh for the multiscale simulation of continuum and rarefied flow. Inheriting …
unstructured mesh for the multiscale simulation of continuum and rarefied flow. Inheriting …
A unified stochastic particle Bhatnagar-Gross-Krook method for multiscale gas flows
The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal
statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann …
statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann …
SPARTACUS: An open-source unified stochastic particle solver for the simulation of multiscale nonequilibrium gas flows
Recently, a unified stochastic particle (USP) method [14] has been developed for the
simulation of multiscale nonequilibrium gas flows. Compared with the conventional …
simulation of multiscale nonequilibrium gas flows. Compared with the conventional …
A time-relaxed Monte Carlo method preserving the Navier-Stokes asymptotics
F Fei - Journal of Computational Physics, 2023 - Elsevier
In this paper, a new time-relaxed Monte Carlo (TRMC) method is proposed for the
inhomogeneous Boltzmann equation. Compared to the standard TRMC scheme, the …
inhomogeneous Boltzmann equation. Compared to the standard TRMC scheme, the …
[图书][B] Mathematical modeling
S Heinz - 2011 - Springer
The whole picture of Mathematical Modeling is systematically and thoroughly explained in
this text for undergraduate and graduate students of mathematics, engineering, economics …
this text for undergraduate and graduate students of mathematics, engineering, economics …
Fokker–Planck–DSMC algorithm for simulations of rarefied gas flows
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 …
of rarefied gas flows by the authors [1],[2],[3]. The main motivation behind the Fokker–Planck …