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The aim of this paper is twofold: the first is to formulate and validate a multi-scale discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal multiphase flow systems, ranging from continuum to transition flow…

Fluid Dynamics · Physics 2022-11-08 Yanbiao Gan , Aiguo Xu , Huilin Lai , Wei Li , Guanglan Sun , Sauro Succi

Supersonic flow is a typical nonlinear, nonequilibrium, multiscale, and complex phenomenon. This paper applies discrete Boltzmann method/model (DBM) to simulate and analyze these characteristics. A Burnett-level DBM for supersonic flow is…

Fluid Dynamics · Physics 2025-02-19 Yanbiao Gan , Zhaowen Zhuang , Bin Yang , Aiguo Xu , Dejia Zhang , Feng Chen , Jiahui Song , Yanhong Wu

We propose a multi-component discrete Boltzmann model (DBM) for premixed, nonpremixed, or partially premixed nonequilibrium reactive flows. This model is suitable for both subsonic and supersonic flows with or without chemical reaction…

Computational Physics · Physics 2020-06-30 Chuandong Lin , Kai Hong Luo , Linlin Fei , Sauro Succi

The lattice Boltzmann method (LBM) is known to suffer from stability issues when the collision model relies on the BGK approximation, especially in the zero viscosity limit and for non-vanishing Mach numbers. To tackle this problem, two…

Computational Physics · Physics 2020-06-09 C. Coreixas , G. Wissocq , B. Chopard , J. Latt

Shock waves are typical non-equilibrium phenomena in nature and engineering, driven by hydrodynamic non-equilibrium (HNE) and thermodynamic non-equilibrium (TNE) effects. However, the mechanisms underlying these non-equilibrium effects are…

Fluid Dynamics · Physics 2025-02-11 Dejia Zhang , Yanbiao Gan , Bin Yang , Yiming Shan , Aiguo Xu

We briefly introduce several fundamental problems that cause the creation of Discrete Boltzmann modeling and analysis Method(DBM), corresponding solutions, the relationship and difference between DBM and traditional fluid modeling and other…

Statistical Mechanics · Physics 2023-09-01 Aiguo Xu

A discrete Boltzmann model (DBM) for plasma kinetics is proposed. The constructing of DBM mainly considers two aspects. The first is to build a physical model with sufficient physical functions before simulation. The second is to present…

Plasma Physics · Physics 2024-04-16 Jiahui Song , Aiguo Xu , Long Miao , Feng Chen , Zhipeng Liu , Lifeng Wang , Ningfei Wang , Xiao Hou

We present a general framework for constructing trans-scale \emph{discrete Boltzmann models} (DBMs) for high-speed compressible flows ranging from continuum to transition regime. This is achieved by designing a higher-order discrete…

Fluid Dynamics · Physics 2018-06-06 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Yudong Zhang , Sauro Succi

A multi-relaxation-time discrete Boltzmann model (DBM) with split collision is proposed for both subsonic and supersonic compressible reacting flows, where chemical reactions take place among various components. The physical model is based…

Statistical Mechanics · Physics 2024-04-23 Chuandong Lin , Kai H. Luo , Huilin Lai

In this paper, a Burnett-level discrete Boltzmann model (DBM) is proposed for the compressible flow in a force field, and a discrete velocity set with 25 velocities is constructed for the DBM, featuring good spatial symmetry. In the…

Fluid Dynamics · Physics 2025-02-05 Suni Chen , Chuandong Lin , Demei Li , Huilin Lai

The non-equilibrium high-speed compressible flows present wealthy applications in engineering and science. With the deepening of Thermodynamic Non-Equilibrium (TNE), higher-order non-conserved kinetic moments of the distribution function…

Fluid Dynamics · Physics 2022-09-07 Dejia Zhang , Aiguo Xu , Yudong Zhang , Yanbiao Gan , Yingjun Li

A discrete Boltzmann model (DBM) is developed to investigate the hydrodynamic and thermodynamic non-equilibrium (TNE) effects in phase separation processes. The interparticle force drives changes and the gradient force, induced by gradients…

Soft Condensed Matter · Physics 2017-10-27 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Sauro Succi

A new kinetic model for multiphase flow was presented under the framework of the discrete Boltzmann method (DBM). Significantly different from the previous DBM, a bottom-up approach was adopted in this model. The effects of molecular size…

Computational Physics · Physics 2022-03-24 Yudong Zhang , Aiguo Xu , Jingjiang Qiu , Hongtao Wei , Zung-Hang Wei

We further probe the Discrete Boltzmann Modeling(DBM) of the single-component two phase flows or the liquid-vapor system. There are two kinds of nonequilibrium effects in the system. The first is the Mechanical NonEquilibrium(MNE). The…

Soft Condensed Matter · Physics 2014-03-18 Aiguo Xu , Guangcai Zhang , Yanbiao Gan

Three-dimensional (3D) high-speed compressible flow is a typical nonlinear, nonequilibrium, and multiscale complex flow. Traditional fluid mechanics models, based on the quasi-continuum assumption and near-equilibrium approximation, are…

Fluid Dynamics · Physics 2025-04-14 Qinghong Guo , Yanbiao Gan , Bin Yang , Yanhong Wu , Huilin Lai , Aiguo Xu

We present a series of three-dimensional discrete Boltzmann (DB) models for compressible flows in and out of equilibrium. The key formulating technique is the construction of discrete equilibrium distribution function through inversely…

Fluid Dynamics · Physics 2018-03-06 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Huilin Lai

We present an improved lattice Boltzmann model for high-speed compressible flows. The model is composed of a discrete-velocity model by Kataoka and Tsutahara [Phys. Rev. E \textbf{69}, 056702 (2004)] and an appropriate finite-difference…

Soft Condensed Matter · Physics 2009-11-13 X. F. Pan , Aiguo Xu , Guangcai Zhang , Song Jiang

In this work, a central-moment-based discrete Boltzmann method (CDBM) is constructed for fluid flows with variable specific heat ratios. The central kinetic moments are employed to calculate the equilibrium discrete velocity distribution…

Fluid Dynamics · Physics 2025-02-25 Chuandong Lin , Xianli Su , Linlin Fei , Kai Hong Luo

The lattice Boltzmann equation describes the evolution of the velocity distribution function on a lattice in a manner that macroscopic fluid dynamical behavior is recovered. Although the equation is a derivative of lattice gas automata, it…

comp-gas · Physics 2008-02-03 James D. Sterling , Shiyi Chen

Discrete Boltzmann model (DBM) is a type of coarse-grained mesoscale kinetic model derived from the Boltzmann equation. Physically, it is roughly equivalent to a hydrodynamic model supplemented by a coarse-grained model for the relevant…

Fluid Dynamics · Physics 2022-01-26 Yudong Zhang , Aiguo Xu , Guangcai Zhang
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