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 …

[图书][B] Direct modeling for computational fluid dynamics: construction and application of unified gas-kinetic schemes

K Xu - 2014 - books.google.com
Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic
scale resolved is the mesh size and time step. The CFD algorithm can be constructed …

An efficient and accurate two-stage fourth-order gas-kinetic scheme for the Euler and Navier–Stokes equations

L Pan, K Xu, Q Li, J Li - Journal of Computational Physics, 2016 - Elsevier
For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver
and the second-order gas-kinetic scheme (GKS) provide a time-accurate flux function …

A unified gas-kinetic scheme for continuum and rarefied flows II: multi-dimensional cases

JC Huang, K Xu, P Yu - Communications in Computational Physics, 2012 - cambridge.org
With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire
Knudsen number flows has been constructed based on the kinetic model in one …

[HTML][HTML] 气体动理学格式研究进展

李启兵, 徐昆 - 力学进展, 2012 - lxjz.cstam.org.cn
介绍了近年来气体动理学格式(gas-kinetic scheme, GKS, 亦简称BGK 格式) 的主要研究进展,
重点是高阶精度动理学格式及适合从连续流到稀薄流全流域的统一动理学格式 …

WENO-enhanced gas-kinetic scheme for direct simulations of compressible transition and turbulence

G Kumar, SS Girimaji, J Kerimo - Journal of Computational Physics, 2013 - Elsevier
The recently developed Gas Kinetic Method (GKM) for computing fluid flow is enhanced with
advanced reconstruction (interpolation) schemes to enable direct simulations of highly …

A family of high-order gas-kinetic schemes and its comparison with Riemann solver based high-order methods

X Ji, F Zhao, W Shyy, K Xu - Journal of Computational Physics, 2018 - Elsevier
Most high order computational fluid dynamics (CFD) methods for compressible flows are
based on Riemann solver for the flux evaluation and Runge–Kutta (RK) time stepping …

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 …

[图书][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 …