The influences of acceleration on compressible Rayleigh–Taylor instability with non-equilibrium effects

Lai, Huilin; Lin, Chuandong; Gan, Yanbiao; Li, Demei; Chen, Lu

doi:10.1016/j.compfluid.2023.106037

Cited by 4 publications

(2 citation statements)

References 71 publications

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“…It is worth mentioning that, there are more flexible parameters in the two-step-relaxation collision term, which is suitable for a wider application range of physical systems. Through the CE expansion, the relations can be determined between the relaxation parameters and other physical quantities, such as the nonequilibrium quantities (48)- (52), diffusivity (55), thermal conductivity (B10), and dynamic viscosity (B11). Consequently, compared with the one-step-relaxation MRT or BGK model, the two-step-relaxation collision term presents a more detailed relationship between the thermodynamic relaxation process and nonequilibrium effects.…”

Section: Split Collision Termmentioning

confidence: 99%

“…It should be pointed out that the last aforementioned difference is the key reason why the DBM has been developed. The DBM is derived from the nonequilibrium statistical physics and has been successfully applied to investigate compressible reacting flows [7][8][9][10][11][12][13][14][15][16][17][18], multiphase [40][41][42][43], and fluid instabilities [44][45][46][47][48][49][50][51][52], etc. In 2013, the pioneering DBM for combustion was developed by using a hybrid scheme, and the hydrodynamic and thermodynamic nonequilibrium effects were investigated around the detonation wave [7].…”

Section: Introductionmentioning

confidence: 99%

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Discrete Boltzmann model with split collision for nonequilibrium reactive flows*

Lin,

Luo,

Lai

2024

Commun. Theor. Phys.

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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 on a unified set of discrete Boltzmann equations that describes the evolution of each chemical species with adjustable acceleration, specific heat ratio, and Prandtl number. On the righ-hand side of discrete Boltzmann equations, the collision, force, and reaction terms denote the change rates of distribution functions due to self- and cross-collisions, external forces, and chemical reactions, respectively. The source terms can be calculated in three ways, among which the matrix inversion method possesses the highest physical accuracy and computational efficiency. Through Chapman-Enskog analysis, it is proved that the DBM is consistent with the reactive Navier-Stokes equations, Fick's law and Stefan-Maxwell diffusion equation in the hydrodynamic limit. Compared with the one-step-relaxation model, the split collision model offers a detailed and precise description of hydrodynamic, thermodynamic, and chemical nonequilibrium effects. Finally, the model is validated by six benchmarks, including multicomponent diffusion, mixture in the force field, Kelvin-Helmholtz instability, flame at constant pressure, opposing chemical reaction, and steady detonation.

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Section: Split Collision Termmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Discrete Boltzmann model with split collision for nonequilibrium reactive flows*

Lin,

Luo,

Lai

2024

Commun. Theor. Phys.

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Advances in the kinetics of heat and mass transfer in near-continuous complex flows

Xu,

Zhang,

Gan

2024

Front. Phys.

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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 physics and nonlinear science. However, due to absence of suitable methods, the understanding of mesoscale behavior situated between the aforementioned two scenarios, which challenges the physical function of traditional continuous fluid theory and exceeds the simulation capability of microscopic molecular dynamics method, remains considerably deficient. This greatly restricts the evaluation of effects of mesoscale behavior and impedes the development of corresponding regulation techniques. To access the mesoscale behaviors, there are two ways: from large to small and from small to large. Given the necessity to interface with the prevailing macroscopic continuous modeling currently used in the mechanical engineering community, our study of mesoscale behavior begins from the side closer to the macroscopic continuum, that is from large to small. Focusing on some fundamental challenges encountered in modeling and analysis of near-continuous flows, we review the research progress of discrete Boltzmann method (DBM). The ideas and schemes of DBM in coarse-grained modeling and complex physical field analysis are introduced. The relationships, particularly the differences, between DBM and traditional fluid modeling as well as other kinetic methods are discussed. After verification and validation of the method, some applied researches including the development of various physical functions associated with discrete and non-equilibrium effects are illustrated. Future directions of DBM related studies are indicated.

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Investigation of effects of initial interface conditions on the two-dimensional single-mode compressible Rayleigh–Taylor instability: Based on the discrete Boltzmann method

Lai,

Li,

Lin

et al. 2024

Computers & Fluids

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The influences of acceleration on compressible Rayleigh–Taylor instability with non-equilibrium effects

Cited by 4 publications

References 71 publications

Discrete Boltzmann model with split collision for nonequilibrium reactive flows*

Discrete Boltzmann model with split collision for nonequilibrium reactive flows*

Advances in the kinetics of heat and mass transfer in near-continuous complex flows

Investigation of effects of initial interface conditions on the two-dimensional single-mode compressible Rayleigh–Taylor instability: Based on the discrete Boltzmann method

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