Multiple-relaxation-time lattice Boltzmann method for the Navier-Stokes and nonlinear convection-diffusion equations: Modeling, analysis, and elements

Z Chai, B Shi - Physical Review E, 2020 - APS
In this paper, we first present a unified framework of multiple-relaxation-time lattice
Boltzmann (MRT-LB) method for the Navier-Stokes and nonlinear convection-diffusion …

[HTML][HTML] Simulation of three-dimensional compressible decaying isotropic turbulence using a redesigned discrete unified gas kinetic scheme

T Chen, X Wen, LP Wang, Z Guo, J Wang, S Chen - Physics of Fluids, 2020 - pubs.aip.org
In this paper, a new mesoscopic approach with both the adjustable Prandtl number and the
ratio of bulk to shear viscosity has been developed to simulate three-dimensional …

A novel linear stability analysis method for plane Couette flow considering rarefaction effects

S Zou, L Bi, C Zhong, X Yuan, Z Tang - Journal of Fluid Mechanics, 2023 - cambridge.org
Following the stability analysis method in classic fluid dynamics, a linear stability equation
(LSE) suitable for rarefied flows is derived based on the Bhatnagar–Gross–Krook (BGK) …

A simplified discrete unified gas kinetic scheme for incompressible flow

M Zhong, S Zou, D Pan, C Zhuo, C Zhong - Physics of Fluids, 2020 - pubs.aip.org
The discrete unified gas kinetic scheme (DUGKS) is a new finite volume (FV) scheme for
continuum and rarefied flows, which combines the benefits of both the lattice Boltzmann …

DUGKS-GPU: An efficient parallel GPU code for 3D turbulent flow simulations using Discrete Unified Gas Kinetic Scheme

K Karzhaubayev, LP Wang, D Zhakebayev - Computer Physics …, 2024 - Elsevier
This paper presents a parallel implementation of the Discrete Unified Gas Kinetic Scheme
(DUGKS) on the GPU system using the CUDA Fortran and CUDA C++ programming …

An improved three-dimensional implicit discrete velocity method on unstructured meshes for all Knudsen number flows

LM Yang, C Shu, WM Yang, J Wu - Journal of Computational Physics, 2019 - Elsevier
In this work, an improved implicit discrete velocity method (DVM) on unstructured meshes is
developed for simulation of three-dimensional (3D) flows in all flow regimes. Different from …

Phase-field method based on discrete unified gas-kinetic scheme for large-density-ratio two-phase flows

Z Yang, C Zhong, C Zhuo - Physical Review E, 2019 - APS
In this paper, a phase-field method under the framework of discrete unified gas-kinetic
scheme (DUGKS) for incompressible multiphase fluid flows is proposed. Two kinetic models …

An improved discrete velocity method (DVM) for efficient simulation of flows in all flow regimes

LM Yang, C Shu, WM Yang, Z Chen, H Dong - Physics of Fluids, 2018 - pubs.aip.org
In this paper, an improved discrete velocity method (DVM) is developed for efficient
simulation of fluid problems in all flow regimes. Compared with the conventional explicit …

A combined immersed boundary and discrete unified gas kinetic scheme for particle–fluid flows

S Tao, H Zhang, Z Guo, LP Wang - Journal of Computational Physics, 2018 - Elsevier
A discrete unified gas kinetic scheme (DUGKS) coupled with the immersed boundary (IB)
method is developed to perform interface-resolved simulation of particle-laden flows. The …

A discrete unified gas-kinetic scheme for immiscible two-phase flows

C Zhang, K Yang, Z Guo - International Journal of Heat and Mass Transfer, 2018 - Elsevier
In this work, a discrete unified gas-kinetic scheme (DUGKS) is proposed for two-phase flows.
In the framework of DUGKS, two kinetic equations are used to solve the quasi …