Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation

Q Lou, X Meng, GE Karniadakis - Journal of Computational Physics, 2021 - Elsevier
The Boltzmann equation with the Bhatnagar-Gross-Krook collision model (Boltzmann-BGK
equation) has been widely employed to describe multiscale flows, ie, from the hydrodynamic …

An interface interaction method for compressible multifluids

XY Hu, BC Khoo - Journal of Computational Physics, 2004 - Elsevier
In the development of numerical schemes for compressible multifluids, the treatment of the
interface is very important. In this paper, we proposed a numerical method based on …

A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows

Z Guo, H Liu, LS Luo, K Xu - Journal of Computational Physics, 2008 - Elsevier
We compare the lattice Boltzmann equation (LBE) and the gas-kinetic scheme (GKS)
applied to 2D incompressible laminar flows. Although both methods are derived from the …

[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 …

Polar-coordinate lattice Boltzmann modeling of compressible flows

C Lin, A Xu, G Zhang, Y Li, S Succi - Physical Review E, 2014 - APS
We present a polar coordinate lattice Boltzmann kinetic model for compressible flows. A
method to recover the continuum distribution function from the discrete distribution function …

GKS and UGKS for high-speed flows

Y Zhu, C Zhong, K Xu - Aerospace, 2021 - mdpi.com
The gas-kinetic scheme (GKS) and the unified gas-kinetic scheme (UGKS) are numerical
methods based on the gas-kinetic theory, which have been widely used in the numerical …

Circular function-based gas-kinetic scheme for simulation of inviscid compressible flows

LM Yang, C Shu, J Wu, N Zhao, ZL Lu - Journal of Computational Physics, 2013 - Elsevier
This paper presents a new gas-kinetic scheme for simulation of compressible inviscid flows.
It starts to simplify the integral domain of Maxwellian distribution function over the phase …

Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes

G Chen, H Tang, P Zhang - Journal of Scientific Computing, 2008 - Springer
This paper presents a second-order accurate adaptive Godunov method for two-
dimensional (2D) compressible multicomponent flows, which is an extension of the previous …

Direct numerical calculation of the kinematic tortuosity of reactive mixture flow in the anode layer of solid oxide fuel cells by the lattice Boltzmann method

P Asinari, MC Quaglia, MR von Spakovsky… - Journal of Power …, 2007 - Elsevier
Mathematical models that predict performance can aid in the understanding and
development of solid oxide fuel cells (SOFCs). Of course, various modeling approaches …

Semi-implicit-linearized multiple-relaxation-time formulation of lattice Boltzmann schemes for mixture modeling

P Asinari - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
A lattice Boltzmann model for mixture modeling is developed by applying the multiple-
relaxation-time (MRT) approach to the Hamel model, which allows one to derive from a …