Rarefied gas flow simulations using high-order gas-kinetic unified algorithms for Boltzmann model equations

ZH Li, AP Peng, HX Zhang, JY Yang - Progress in Aerospace Sciences, 2015 - Elsevier
This article reviews rarefied gas flow computations based on nonlinear model Boltzmann
equations using deterministic high-order gas-kinetic unified algorithms (GKUA) in phase …

A unified gas-kinetic scheme for continuum and rarefied flows

K Xu, JC Huang - Journal of Computational Physics, 2010 - Elsevier
With discretized particle velocity space, a multiscale unified gas-kinetic scheme for entire
Knudsen number flows is constructed based on the BGK model. The current scheme …

A compact fourth-order gas-kinetic scheme for the Euler and Navier–Stokes equations

X Ji, L Pan, W Shyy, K Xu - Journal of Computational Physics, 2018 - Elsevier
In this paper, a fourth-order compact gas-kinetic scheme (GKS) is developed for the
compressible Euler and Navier–Stokes equations under the framework of two-stage fourth …

[ΒΙΒΛΙΟ][B] A unified computational fluid dynamics framework from rarefied to continuum regimes

K Xu - 2021 - cambridge.org
This Element presents a unified computational fluid dynamics framework from rarefied to
continuum regimes. The framework is based on the direct modelling of flow physics in a …

[HTML][HTML] Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes

AP Peng, ZH Li, JL Wu, XY Jiang - Journal of Computational Physics, 2016 - Elsevier
Based on the previous researches of the Gas-Kinetic Unified Algorithm (GKUA) for flows
from highly rarefied free-molecule transition to continuum, a new implicit scheme of cell …