Unified gas-kinetic wave-particle methods I: Continuum and rarefied gas flow

C Liu, Y Zhu, K Xu - Journal of Computational Physics, 2020 - Elsevier
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 …

Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion

VA Titarev, AA Morozov - Applied Mathematics and Computation, 2022 - Elsevier
We propose a direct arbitrary Lagrangian-Eulerian (ALE) variant of the previously developed
discrete velocity method to solve the kinetic equation with the Bhatnagar–Gross–Krook …

Discrete Boltzmann trans-scale modeling of high-speed compressible flows

Y Gan, A Xu, G Zhang, Y Zhang, S Succi - Physical Review E, 2018 - APS
We present a general framework for constructing trans-scale discrete Boltzmann models
(DBMs) for high-speed compressible flows ranging from continuum to transition regime. This …

Unified gas-kinetic wave-particle methods IV: multi-species gas mixture and plasma transport

C Liu, K Xu - Advances in Aerodynamics, 2021 - Springer
In this paper, we extend the unified gas-kinetic wave-particle (UGKWP) methods to the multi-
species gas mixture and multiscale plasma transport. The construction of the scheme is …

An efficient numerical method for solving the Boltzmann equation in multidimensions

G Dimarco, R Loubère, J Narski, T Rey - Journal of Computational Physics, 2018 - Elsevier
In this paper we deal with the extension of the Fast Kinetic Scheme (FKS)(Dimarco and
Loubère, 2013 [26]) originally constructed for solving the BGK equation, to the more …

Adaptive unified gas-kinetic scheme for diatomic gases with rotational and vibrational nonequilibrium

Y Wei, W Long, K Xu - Computer Physics Communications, 2024 - Elsevier
Multiscale nonequilibrium physics at large variations of local Knudsen number are
encountered in applications of aerospace engineering and micro-electro-mechanical …

[BUCH][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 …

On different kinetic approaches for computing planar gas expansion under pulsed evaporation into vacuum

AA Morozov, AA Frolova, VA Titarev - Physics of Fluids, 2020 - pubs.aip.org
The numerical study of one-dimensional gas expansion under pulsed evaporation into
vacuum is carried out on the basis of the direct simulation Monte Carlo method, the exact …

Discrete unified gas kinetic scheme for flows of binary gas mixture based on the McCormack model

Y Zhang, L Zhu, P Wang, Z Guo - Physics of Fluids, 2019 - pubs.aip.org
The discrete unified gas kinetic scheme (DUGKS) was originally developed for single-
species flows covering all the regimes, whereas the gas mixtures are more frequently …

Kinetic modeling of detonation and effects of negative temperature coefficient

Y Zhang, A Xu, G Zhang, C Zhu, C Lin - Combustion and Flame, 2016 - Elsevier
The kinetic modeling and simulation of reactive flows, especially for those with detonation,
are further investigated. From the theoretical side, a new set of hydrodynamic equations are …