A discrete Boltzmann model with symmetric velocity discretization for compressible flow

Lin, Chin E.; Sun, Xiaofeng; Su, Xianli; Lai, Huilin; Fang, X.

doi:10.1088/1674-1056/acea6b

Cited by 2 publications

(1 citation statement)

References 33 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…在2021年, Ji等人针对非平衡可压缩反应流问题, 提出了一个三维多松弛时间离散Boltzmann方法, 并采用WENO格式处理空间偏导数 [12] . 在2022年, Lin提出了适用于超声速可压缩化学反应流的二维简化DBM, 并使用无波动、无自由参数的耗散差分格式来处理空间偏导数 [13] . 在2023年, Lin等人针对外力场中比热比可调的可压缩系统, 建立了速度对称离散的离散 Boltzmann方法, 并证明该模型具有更好的空间对称性和数值精度 [14] .…”

Section: 年 Zhang等人提出了一种基于shakhov模unclassified

Solution of the discrete Boltzmann equation: Based on the finite volume method

Sun,

Lin,

et al. 2024

Acta Phys. Sin.

View full text Add to dashboard Cite

Mesoscopic methods serve as a pivotal link between the macroscopic and microscopic scales,offering a potent solution to the challenge of balancing physical accuracy with computational efficiency.Over the past decade,significant progress has been made in the application of the discrete Boltzmann method (DBM),which is a mesoscopic method based on a fundamental equation of nonequilibrium statistical physics (i.e.,the Boltzmann equations),in the field of nonequilibrium fluid systems.The DBM has gradually become an important tool for describing and predicting the behavior of complex fluid systems.The governing equations comprise a set of straightforward and unified discrete Boltzmann equations,and the choice of their discrete format significantly influences the computational accuracy and stability of numerical simulations.In a bid to bolster the reliability of these simulations,this paper utilizes the finite volume method as a solution for handling the discrete Boltzmann equations.The finite volume method stands out as a widely employed numerical computation technique,known for its robust conservation properties and high level of accuracy.It excels notably in tackling numerical computations associated with high-speed compressible fluids.For the finite volume method,the value of each control volume corresponds to a specific physical quantity,which makes the physical connotation clear and the derivation process intuitive.Moreover,through the adoption of suitable numerical formats,the finite volume method can effectively minimize numerical oscillations and exhibit strong numerical stability,thus ensuring the reliability of computational results.Particularly,the MUSCL format where a flux limiter is introduced to improve the numerical robustness is adopted for the reconstruction in this paper.Ultimately,the DBM utilizing the finite volume method is rigorously validated to assess its proficiency in addressing flow issues characterized by pronounced discontinuities.The numerical experiments encompass scenarios involving shock waves,Lax shock tubes,and acoustic waves.The results demonstrate the method's precise depiction of shock wave evolution,rarefaction waves,acoustic phenomena,and material interfaces.Furthermore,it ensures the conservation of mass,momentum,and energy within the system,as well as accurately measures the hydrodynamic and thermodynamic nonequilibrium effects of the fluid system.Compared with the finite difference method,the finite volume method is also more convenient and flexible in dealing with boundary conditions of different geometries,and can be adapted to a variety of systems with complex boundary conditions.Consequently,the finite volume method further broadens the scope of DBM in practical t=applications.

show abstract

Section: 年 Zhang等人提出了一种基于shakhov模unclassified

Solution of the discrete Boltzmann equation: Based on the finite volume method

Sun,

Lin,

et al. 2024

Acta Phys. Sin.

View full text Add to dashboard Cite

show abstract

Kinetic investigation of Kelvin–Helmholtz instability with nonequilibrium effects in a force field

Li,

Lin

2024

Physics of Fluids

View full text Add to dashboard Cite

The Kelvin–Helmholtz (KH) instability in a force field is simulated and investigated using a two-component discrete Boltzmann method. Both hydrodynamic and thermodynamic nonequilibrium effects in the evolution of KH instability are analyzed in two distinct states: interface roll-up and non-roll-up. It is interesting to note that there are critical thresholds for initial amplitude and Reynolds number, both of which are determined based on the vertical density gradient. Specifically, when the initial amplitude and Reynolds number exceed their respective critical thresholds, the interface undergoes roll-up. Conversely, if these parameters fall below their critical values, the interface fails to roll up. Moreover, the initial amplitude promotes the development of density gradients, mixing degree, mixing width, viscous stress tensor strength, and heat flux strength. In contrast, the Reynolds number enhances the evolution of density gradients but dampens the mixing degree, viscous stress tensor strength, and heat flux intensity. The effect of the Reynolds number on mixing width is analyzed as well.

show abstract

A discrete Boltzmann model with symmetric velocity discretization for compressible flow

Cited by 2 publications

References 33 publications

Solution of the discrete Boltzmann equation: Based on the finite volume method

Solution of the discrete Boltzmann equation: Based on the finite volume method

Kinetic investigation of Kelvin–Helmholtz instability with nonequilibrium effects in a force field

Contact Info

Product

Resources

About