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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 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

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

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

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 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

Supersonic flow simulations face challenges in trans-scale modeling, numerical stability, and complex field analysis due to inherent nonlinear, nonequilibrium, and multiscale characteristics. The discrete Boltzmann method (DBM) provides a…

Fluid Dynamics · Physics 2025-06-10 Yanhong Wu , Yanbiao Gan , Aiguo Xu , Bin Yang

A multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible, hydrodynamic, and thermodynamic nonequilibrium effects are taken into account. It allows the specific heat ratio and the…

Fluid Dynamics · Physics 2021-01-20 Chuandong Lin , Kai H. Luo , Aiguo Xu , Yanbiao Gan , Huilin Lai

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

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

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

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

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

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

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

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

The study of macro continuous flow has a long history. Simultaneously, the exploration of heat and mass transfer in small systems with a particle number of several hundred or less has gained significant interest in the fields of statistical…

Fluid Dynamics · Physics 2024-03-13 Aiguo Xu , Dejia Zhang , Yanbiao Gan

Mathematically, the typical difference of Discrete Boltzmann Model (DBM) from the traditional hydrodynamic one is that the Navier-Stokes (NS) equations are replaced by a discrete Boltzmann equation. But physically, this replacement has a…

Fluid Dynamics · Physics 2018-03-06 Aiguo Xu , Guangcai Zhang , Yudong Zhang

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

A discrete Boltzmann model (DBM) is proposed to probe the Rayleigh-Taylor instability (RTI) in two-component compressible flows. Each species has a flexible specific heat ratio and is described by one discrete Boltzmann equation (DBE).…

Soft Condensed Matter · Physics 2017-11-22 Chuandong Lin , Aiguo Xu , Guangcai Zhang , Kaihong Luo , Yingjun Li
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