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 …

Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement

VI Kolobov, RR Arslanbekov, VV Aristov… - Journal of …, 2007 - Elsevier
This paper describes a Unified Flow Solver (UFS) for rarefied and continuum gas flows. The
UFS separates the rarefied and continuum flow domains and selects appropriate solvers to …

Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry

ZH Li, HX Zhang - Journal of Computational Physics, 2009 - Elsevier
The gas-kinetic numerical algorithm solving the Boltzmann model equation is extended and
developed to study the three-dimensional hypersonic flows of spacecraft re-entry into the …

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 …

An immersed boundary-simplified sphere function-based gas kinetic scheme for simulation of 3D incompressible flows

LM Yang, C Shu, WM Yang, Y Wang, J Wu - Physics of Fluids, 2017 - pubs.aip.org
In this work, an immersed boundary-simplified sphere function-based gas kinetic scheme
(SGKS) is presented for the simulation of 3D incompressible flows with curved and moving …

Progress in gas-kinetic upwind schemes for the solution of Euler/Navier–Stokes equations–I: Overview

L Tang - Computers & fluids, 2012 - Elsevier
Three gas-kinetic upwind schemes for the solution of the Euler/Navier–Stokes equations are
reviewed. They are Kinetic Flux-Vector Splitting (KFVS), Kinetic Wave/Particle Splitting …

Unified gas-kinetic wave-particle methods V: Diatomic molecular flow

X Xu, Y Chen, C Liu, Z Li, K Xu - Journal of Computational Physics, 2021 - Elsevier
In this paper, the unified gas-kinetic wave-particle (UGKWP) method is further developed for
diatomic gas with the energy exchange between translational and rotational modes for flow …

Particle ellipsoidal statistical Bhatnagar–Gross–Krook approach for simulation of hypersonic shocks

O Tumuklu, Z Li, DA Levin - AIAA journal, 2016 - arc.aiaa.org
To reduce the computational costs related to direct simulation Monte Carlo computations for
low Knudsen number flows, a new particle method, based on the ellipsoidal statistical …